This script will ensure that words you have capitalize and want to keep capitalized in your bibtex file will stay capitalized by surrounding it with curly braces {}.
The list of proctected words are controlled through protected_word_list.py.
Please backup your .bib file, I am not responsible if you mess it up.
python3 fix_bibliography_titles.py
gives the output below and output a new .bib output with fixed Title entries. The output below is meant for review of what has changed. Note that if your word was not capitalized beforehand, for example newton, it will not change it to Newton. This is only meant to "protect" existing capitalizations.
title = {An adaptive refinement strategy for hp-finite element computations},
title = {Aerodynamic design optimization on unstructured grids with a continuous adjoint formulation},
Replaced words: Hessian,
title = {Analysis of the {Hessian} for aerodynamic optimization: inviscid flow},
Replaced words: NURBS,
title = {A simple algorithm for obtaining nearly optimal quadrature rules for {NURBS}-based isogeometric analysis},
title = {Error estimates for adaptive finite element computations},
title = {A-posteriori error estimates for the finite element method},
Replaced words: PETSc,
title = {{PETSc} users manual},
Replaced words: PETSc,
title = {{PETSc} web page},
title = {Efficient management of parallelism in object oriented numerical software libraries},
title = {Some a posteriori error estimators for elliptic partial differential equations},
title = {Simplified numerical methods for gasdynamic systems on triangulated domains},
Replaced words: Euler, 2D,
title = {High-order accurate discontinuous finite element solution of the {2D} {Euler} equations},
Replaced words: T,
title = {Isogeometric analysis using {T}-splines},
title = {Isogeometric analysis: approximation, stability and error estimates for h-refined mesh},
title = {An optimal control approach to a posteriori error estimation in finite element methods},
title = {A feed-back approach to error control in finite element methods: basic analysis and examples},
Replaced words: FE,
title = {Weighted a posteriori error control in {FE} methods},
Replaced words: Fortran, ADIFOR,
title = {{ADIFOR}-generating derivative codes from {Fortran} programs},
title = {Aerodynamic design optimization using the drag decomposition method},
title = {Adjoint-based aerodynamic optimization of benchmark problems},
title = {Adjoint-based aerodynamic optimization of benchmark problems},
title = {Grenzschichten in fl\"ussigkeiten mit kleiner reibung},
title = {Mesh deformation based on radial basis function interpolation},
title = {Grenzschichten an rotationskorpern in flussigkeiten mit kleiner reibung.},
Replaced words: Galerkin, Navier, Stokes, Petrov,
title = {Streamline upwind/{Petrov}-{Galerkin} formulations for convection dominated flows with particular emphasis on the incompressible {Navier}-{Stokes} equations},
title = {Inexactly constrained discrete adjoint approach for steepest descent-based optimization algorithms},
title = {The convergence of a class of double-rank minimization algorithms 1. general considerations},
title = {A new double-rank minimization algorithm},
title = {Implicit multigrid schemes for challenging aerodynamic simulations on block-structured grids},
title = {A new class of high-order energy stable flux reconstruction schemes for triangular elements},
title = {Anisotropic unstructured mesh adaption for flow simulations},
title = {Anisotropic hp-adaptation framework for functional prediction},
Replaced words: DPG,
title = {A {DPG} method for steady viscous compressible flow},
Replaced words: GMRES,
title = {A hybrid {GMRES} solver with deflation for ill-conditioned adjoint systems for aerodynamic shape optimization},
title = {Airfoil shape optimization using output-based adapted meshes},
title = {Isogeometric shape design optimization: exact geometry and enhanced sensitivity},
title = {Helicopter rotor design using a time-spectral and adjoint-based method},
Replaced words: Galerkin, Runge, Kutta, IV,
title = {The {Runge}-{Kutta} local projection discontinuous {Galerkin} finite element method for conservation laws. {IV}. the multidimensional case},
Replaced words: Galerkin, Runge, Kutta, TVB, III, II,
title = {{TVB} {Runge}-{Kutta} local projection discontinuous {Galerkin} finite element method for conservation laws {III}: one-dimensional systems},
Replaced words: Galerkin, Runge, Kutta, V,
title = {The {Runge}-{Kutta} discontinuous {Galerkin} method for conservation laws {V}},
title = {Automatic differentiation bibliography},
title = {Isogeometric analysis},
title = {Studies of refinement and continuity in isogeometric structural analysis},
title = {Isogeometric analysis of structural vibrations},
Replaced words: T,
title = {Adaptive isogeometric analysis by local h-refinement with {T}-splines},
title = {A sequential quadratic programming algorithm with non-monotone line search},
Replaced words: Newton,
title = {Inexact {Newton} methods},
Replaced words: Galerkin, Petrov, I,
title = {A class of discontinuous {Petrov}-{Galerkin} methods. part {I}: the transport equation},
Replaced words: Galerkin,
title = {Isogeometric analysis for compressible flows using a discontinuous {Galerkin} method},
title = {High-order accurate, low numerical diffusion methods for aerodynamics},
title = {Aerodynamic design using unstructured meshes},
title = {Introduction to adaptive methods for differential equations},
title = {Laminar boundary-layer theory},
title = {Solutions of the boundary-layer equations},
title = {Review of output-based error estimation and mesh adaptation in computational fluid dynamics},
Replaced words: Navier, Stokes,
title = {A triangular cut-cell adaptive method for high-order discretizations of the compressible {Navier}-{Stokes} equations},
title = {A new approach to variable metric methods},
Replaced words: Hessian,
title = {Efficient {Hessian} calculation using automatic differentiation},
Replaced words: Galerkin,
title = {Anisotropic hp-adaptive discontinuous {Galerkin} finite element methods for compressible fluid flows},
title = {Adjoint methods for shape optimization},
title = {Algorithm developments for discrete adjoint methods},
title = {Adaptive error control for finite element approximations of the lift and drag coefficients in viscous flow},
title = {Adjoint error correction for integral outputs},
Replaced words: Euler,
title = {Analytic adjoint solutions for the quasi-one-dimensional {Euler} equations},
title = {An introduction to the adjoint approach to design},
Replaced words: PDEs, PDE,
title = {Adjoint methods for {PDEs}: a posteriori error analysis and postprocessing by duality},
Replaced words: SNOPT, SQP, QP, QP,
title = {{SNOPT}: an {SQP} algorithm for large-scale constrained optimization},
title = {A family of variable-metric methods derived by variational means},
Replaced words: Galerkin,
title = {Connections between the discontinuous {Galerkin} method and high-order flux reconstruction schemes},
Replaced words: ADOL-C, C,
title = {Algorithm 755; {ADOL-{C}}: a package for the automatic differentiation of algorithms written in {C}/{C}++},
Replaced words: T,
title = {Numerical method for shape optimization using {T}-spline based isogeometric method},
Replaced words: CFD, I,
title = {Anisotropic mesh adaptation: towards user-independent, mesh-independent and solver-independent {CFD}. part {I}: general principles},
title = {The Tapenade automatic differentiation tool: principles, model, and specification},
Replaced words: Galerkin,
title = {Nodal discontinuous {Galerkin} methods},
title = {Bamg: bidimensional anisotropic mesh generator},
Replaced words: Hessian,
title = {Inexact {Hessian}-vector products in reduced-space differential-equation constrained optimization},
Replaced words: Euler,
title = {Induced-drag minimization of nonplanar geometries based on the {Euler} equations},
Replaced words: NURBS, CAD,
title = {Isogeometric analysis: {CAD}, finite elements, {NURBS}, exact geometry and mesh refinement},
Replaced words: NURBS,
title = {Efficient quadrature for {NURBS}-based isogeometric analysis},
title = {Stabilized methods for compressible flows},
Replaced words: Galerkin,
title = {A reconstruction approach to high-order schemes including discontinuous {Galerkin} for diffusion},
Replaced words: Galerkin,
title = {A flux reconstruction approach to high-order schemes including discontinuous {Galerkin} methods},
title = {Mesh deformation using radial basis functions for gradient-based aerodynamic shape optimization},
Replaced words: CFD,
title = {Optimum aerodynamic design using {CFD} and control theory},
title = {Aerodynamic design via control theory},
Replaced words: Navier, Stokes,
title = {Optimum aerodynamic design using the {Navier}-{Stokes} equations},
title = {Continuous adjoint method for unstructured grids},
title = {On the non-linear stability of flux reconstruction schemes},
Replaced words: Euler, Runge, Kutta,
title = {Numerical solution of the {Euler} equations by finite volume methods using {Runge}-{Kutta} time-stepping schemes},
Replaced words: CFD,
title = {On computatbility and error control in {CFD}},
title = {Finite element methods for linear hyperbolic problems},
title = {Numerics and hydrodynamic stability: toward error control in computational fluid dynamics},
title = {Multipoint high-fidelity aerostructural optimization of a transport aircraft configuration},
title = {Implementing spectral methods for partial differential equations},
Replaced words: Chebyshev,
title = {A conservative staggered-grid {Chebyshev} multidomain method for compressible flows},
title = {High-order accurate implementation of solid wall boundary conditions in curved geometries},
title = {Goal-adaptive isogeometric analysis with hierarchical splines},
title = {Error estimate procedure in the finite element method and applications},
title = {Aerodynamic shape optimization of benchmark problems using jetstream},
Replaced words: Galerkin,
title = {Anisotropic mesh refinement for discontinuous {Galerkin} methods in two-dimensional aerodynamic flow simulations},
Replaced words: I,
title = {Relative perturbation theory: {I}. eigenvalue and singular value variations},
title = {Weighted essentially non-oscillatory schemes},
Replaced words: I,
title = {Spectral difference method for unstructured grids {I}: basic formulation},
title = {Aerodynamic shape optimization investigations of the common research model wing benchmark},
Replaced words: Galerkin,
title = {A high-order discontinuous {Galerkin} method for compressible flows with immersed boundaries},
Replaced words: CFD,
title = {On the performance of discrete adjoint {CFD} codes using automatic differentiation},
title = {Adjoint: an approach for the rapid development of discrete adjoint solvers},
title = {Boundary layers on bodies of revolution in symmetrical flow},
title = {Calculations of viscous flows with a multigrid nethod},
Replaced words: Reynolds,
title = {Validation of a multigrid method for the {Reynolds} averaged equations},
title = {A coupled-adjoint sensitivity analysis method for high-fidelity aero-structural design},
title = {Principles of adsorption and reaction on solid surfaces},
Replaced words: Galerkin,
title = {The spectral difference scheme as a quadrature-free discontinuous {Galerkin} method},
title = {Two-equation eddy-viscosity turbulence models for engineering applications},
title = {Optimal shape design, reverse mode of automatic differentiation and turbulence},
title = {The discrete adjoint approach to aerodynamic shape optimization},
title = {Studies of the continuous and discrete adjoint approaches to viscous automatic aerodynamic shape optimization},
title = {A comparison of the continuous and discrete adjoint approach to automatic aerodynamic optimization},
title = {Multi-objective aerodynamic shape optimization for unsteady viscous flows},
title = {Isogeometric sizing and shape optimisation of beam structures},
title = {On the variational formulation of stress constraints in isogeometric design},
title = {A gradient-augmented level set method with an optimally local, coherent advection scheme},
title = {Adjoint-based design of rotors in a noninertial reference frame},
title = {Theory of algorithms for unconstrained optimization},
title = {Numerical optimization},
title = {Isogeometric analysis and shape optimization in fluid mechanics},
title = {Isogeometric shape optimization in fluid mechanics},
title = {Goal-oriented error estimation and adaptivity for the finite element method},
Replaced words: Reynolds, Galerkin, Navier, Stokes,
title = {A high-order, adaptive, discontinuous {Galerkin} finite element method for the {Reynolds}-averaged {Navier}-{Stokes} equations},
Replaced words: Hamilton, Jacobi,
title = {Fronts propagating with curvature-dependent speed: algorithms based on {Hamilton}-{Jacobi} formulations},
Replaced words: Sylvester,
title = {A quantitative formulation of {Sylvester}'s law of inertia},
title = {Aerodynamic design using the truncated newton algorithm and the continuous adjoint approach},
title = {The continuous direct-adjoint approach for second order sensitivities in viscous aerodynamic inverse design problems},
Replaced words: Hessian,
title = {Direct, adjoint and mixed approaches for the computation of {Hessian} in airfoil design problems},
Replaced words: Hessian,
title = {Computation of the {Hessian} matrix in aerodynamic inverse design using continuous adjoint formulations},
title = {Aerodynamic shape optimization using first and second order adjoint and direct approaches},
title = {A continuous adjoint method with objective function derivatives based on boundary integrals, for inviscid and viscous flows},
Replaced words: Lagrangian,
title = {Curved mesh generation and mesh refinement using {Lagrangian} solid mechanics},
title = {The matrix cookbook},
Replaced words: NURBS,
title = {The {NURBS} book},
title = {Optimal shape design for elliptic systems},
title = {An efficient radial basis function mesh deformation scheme within an adjoint-based aerodynamic optimization framework},
title = {Efficient reduced-radial basis function-based mesh deformation within an adjoint-based aerodynamic optimization framework},
Replaced words: B,
title = {Is there a geometric variation diminishing property for {B}-spline or {B}\'ezier surfaces},
Replaced words: NURBS,
title = {Full analytical sensitivities in {NURBS} based isogeometric shape optimization},
title = {Triangular mesh methods for the neutron transport equation},
title = {A coupled aero-structural optimization method for complete aircraft configurations},
title = {Constrained multipoint aerodynamic shape optimization using an adjoint formulation and parallel computers, part 1},
title = {Constrained multipoint aerodynamic shape optimization using an adjoint formulation and parallel computers, part 2},
title = {Optimization-based anisotropic hp-adaptation for high-order methods},
title = {Laminar boundary layers},
Replaced words: Hessian,
title = {Efficient {Hessian} calculations using automatic differentiation and the adjoint method with applications},
title = {Adaptive finite element approximation of hyperbolic problems},
Replaced words: Fortran, NLPQLP, NLPQL, LP,
title = {{NLPQLP}: a {Fortran} implementation of a sequential quadratic programming algorithm with distributed and non-monotone line search - user's guide, version 3.0},
title = {Efficient large scale aerodynamic design based on shape calculus},
Replaced words: T,
title = {Local refinement of analysis-suitable {T}-splines},
Replaced words: T,
title = {{T}-spline simplification and local refinement},
title = {Free-form deformation of solid geometric models},
Replaced words: NURCCs, T,
title = {{T}-splines and {T}-{NURCCs}},
title = {Shape optimization and its extension to topological design based on isogeometric analysis},
Replaced words: NEFEM, NURBS, FEM, FE,
title = {{NURBS}-enhanced finite element method ({NEFEM})},
Replaced words: Newton,
title = {Conditioning of quasi-{Newton} methods for function minimization},
title = {First- and second-order aerodynamic sensitivity derivatives via automatic differentiation with incremental iterative methods},
Replaced words: Hessian,
title = {Approximate {Hessian} for accelerated convergence of aerodynamic shape optimization problems in an adjoint-based framework},
Replaced words: Hessian,
title = {Approximate {Hessian} for accelerated convergence of aerodynamic shape optimization problems},
Replaced words: CRM,
title = {Adjoint-based aerodynamic optimization of benchmark {CRM} wing},
title = {Efficient implementation of essentially non-oscillatory shock-capturing schemes},
Replaced words: BFGS,
title = {Limited memory {BFGS} for nonsmooth optimization},
Replaced words: Reynolds, Navier, Stokes,
title = {Investigation of multimodality in aerodynamic shape optimization based on the {Reynolds}-averaged {Navier}-{Stokes} equations},
title = {Goal-oriented hp-adaptivity for elliptic problems},
title = {A new high resolution scheme for compressible viscous flows with shocks},
title = {Grid adaptation for functional outputs of compressible flow simulations},
title = {Anisotropic grid adaptation for functional outputs: application to two-dimensional viscous flows},
title = {Adjoint error estimation and grid adaptation for functional outputs: application to quasi-one-dimensional flow},
title = {Insights from von neumann analysis of high-order flux reconstruction schemes},
title = {A new class of high-order energy stable flux reconstruction schemes},
title = {A curvature-augmented, rea approach to the level set method},
title = {Isogeometric structural shape optimization},
title = {Optimum shape design for multirow turbomachinery configurations using a discrete adjoint approach and an efficient radial basis function deformation scheme for complex multiblock grids},
Replaced words: I,
title = {Adjoint aerodynamic design optimization for blades in multistage turbomachines--part {I}: methodology and verification},
Replaced words: Galerkin, Euler, 2D,
title = {Adjoint-based h-p adaptive discontinuous {Galerkin} methods for the {2D} compressible {Euler} equations},
title = {Spectral (finite) volume method for conservation laws on unstructured grids. basic formulation},
Replaced words: CFD,
title = {High-order {CFD} methods: current status and perspective},
title = {Adaptive high-order methods in computational fluid dynamics},
title = {Energy stable flux reconstruction schemes for advection-diffusion problems on triangles},
title = {Robust and efficient adjoint solver for complex flow conditions},
Replaced words: Galerkin,
title = {On the necessity of superparametric geometry representation for discontinuous {Galerkin} methods on domains with curved boundaries},
Replaced words: Galerkin,
title = {Equivalence between the energy stable flux reconstruction and filtered discontinuous {Galerkin} schemes},
title = {Mathematica 10.4},
title = {Aerodynamic design optimization discussion group},
Replaced words: Galerkin,
title = {Multi-patch discontinuous {Galerkin} isogeometric analysis for wave propagation: explicit time-stepping and efficient mass matrix inversion},
Replaced words: NURBS,
title = {Selective and reduced numerical integrations for {NURBS}-based isogeometric analysis},
Replaced words: NEFEM, NURBS, FEM, FE,
title = {{NURBS}-enhanced finite element method ({NEFEM})},
title = {An analysis of stability of the flux reconstruction formulation on quadrilateral elements for the linear advection--diffusion equation},
Replaced words: SUPG, II,
title = {A new finite element formulation for computational fluid dynamics: {II}. beyond {SUPG}},
Replaced words: Galerkin,
title = {Weight-adjusted discontinuous {Galerkin} methods: curvilinear meshes},
title = {Adjoint-based airfoil optimization with discretization error control},
title = {Adjoint-based error estimation and mesh refinement in an adjoint-based airfoil shape optimization of a transonic benchmark problem},
Replaced words: Galerkin,
title = {Airfoil optimization based on isogeometric discontinuous {Galerkin}},
Replaced words: Galerkin, Euler,
title = {An isogeometric discontinuous {Galerkin} method for {Euler} equations},
title = {The complex-step derivative approximation},
title = {Problem formulation for multidisciplinary optimization},
title = {A comparison of optimization-based approaches for a model computational aerodynamics design problem},
Replaced words: Hessian, SQP, QP, QP,
title = {An all-at-once reduced {Hessian} {SQP} scheme for aerodynamic design optimization},
title = {Aerodynamic design and optimization in one shot},
Replaced words: Galerkin,
title = {Unified analysis of discontinuous {Galerkin} methods for elliptic problems},
title = {Airfoil design and optimization by the one-shot method},
title = {Convergence estimates for multidisciplinary analysis and optimization},
title = {Simultaneous analysis and design},
Replaced words: PDEs, PDE,
title = {Simultaneous single-step one-shot optimization with unsteady {PDEs}},
title = {An efficient one-shot algorithm for aerodynamic shape design},
Replaced words: PDE,
title = {Extension of fixed point {PDE} solvers for optimal design by one-shot method},
Replaced words: PDE, SQP, QP, QP,
title = {An inexact L1-penalty {SQP} algorithm for {PDE}-constrained optimization with an application to shape optimization in linear elasticity},
Replaced words: PDE, SQP, QP, QP,
title = {Adaptive multilevel inexact {SQP}-methods for {PDE}-constrained optimization with control constraints},
Replaced words: PDE, SQP, QP, QP,
title = {Adaptive multilevel inexact {SQP} methods for {PDE}-constrained optimization},
title = {Multigrid optimization in applications},
Replaced words: Seidel, Navier, Stokes, Gauss, Euler,
title = {Lower-upper symmetric-{Gauss}-{Seidel} method for the {Euler} and {Navier}-{Stokes} equations},
title = {Consistent approximations and approximate functions and gradients in optimal control},
Replaced words: Newton,
title = {An inexact {Newton} method for nonconvex equality constrained optimization},
Replaced words: SQP, QP, QP,
title = {Analysis of inexact trust-region {SQP} algorithms},
title = {High-order energy stable flux reconstruction schemes for fluid flow simulations on unstructured grids},
Replaced words: Galerkin, Navier, Stokes,
title = {Adaptive aerodynamic design optimization for {Navier}-{Stokes} using shape derivatives with discontinuous {Galerkin} methods},
title = {Multidisciplinary design optimization: a survey of architectures},
Replaced words: Newton,
title = {Truncated-{Newton} algorithms for large-scale unconstrained optimization},
title = {Iterative methods for sparse linear systems},
Replaced words: GMRES,
title = {{GMRES}: a generalized minimal residual algorithm for solving nonsymmetric linear systems},
Replaced words: Galerkin, 3D,
title = {Generation of unstructured curvilinear grids and high-order discontinuous {Galerkin} discretization applied to a {3D} high-lift configuration},
Replaced words: Galerkin,
title = {The continuous {Galerkin} method is locally conservative},
Replaced words: Galerkin, Runge, Kutta,
title = {{Runge}-{Kutta} discontinuous {Galerkin} methods for convection-dominated problems},
Replaced words: Galerkin,
title = {An efficient implicit discontinuous spectral {Galerkin} method},
title = {Output error estimates and mesh refinement in aerodynamic shape optimization},
Replaced words: Euler,
title = {Adaptive finite-element for compressible {Euler} equations},
Replaced words: FUN3D, 3D,
title = {Inflow/Outflow Boundary Conditions with Application to {FUN3D}},
Replaced words: Euler,
title = {Nonreflecting boundary conditions for {Euler} equation calculations},
title = {On the Computation of Compressible Turbulent Flows on Unstructured Grids},
title = {Iterative Solution of Nonlinear Equations in Several Variables},
Replaced words: Seidel, Gauss,
title = {Fast, Block Lower-Upper Symmetric {Gauss}-{Seidel} Scheme for Arbitrary Grids},
Replaced words: Galerkin,
title = {High-order discontinuous {Galerkin} methods using an hp-multigrid approach},
title = {The Design of Steady State Schemes for Computational Aerodynamics},
title = {Monolithic homotopy continuation with predictor based on higher derivatives},
title = {Matrix-free monolithic homotopy continuation with application to computational aerodynamics},
title = {Example of a Pitfall in Aerodynamic Shape Optimization},
title = {A comparative evaluation of genetic and gradient-based algorithms applied to aerodynamic optimization},
Replaced words: Galerkin, Navier, Stokes,
title = {p-Multigrid solution of high-order discontinuous {Galerkin} discretizations of the compressible {Navier}-{Stokes} equations},
title = {An implicit, exact dual adjoint solution method for turbulent flows on unstructured grids},
Replaced words: FUN3D, 3D,
title = {Stabilized Finite Elements in {FUN3D}},
Replaced words: Navier, Stokes,
title = {A simplex cut-cell adaptive method for high-order discretizations of the compressible {Navier}-{Stokes} equations},
Replaced words: Galerkin,
title = {Stabilization mechanisms in discontinuous {Galerkin} finite element methods},
Replaced words: Galerkin, CFD,
title = {High-order discontinuous {Galerkin} methods for {CFD}},
Replaced words: Galerkin,
title = {Sub-Cell Shock Capturing for Discontinuous {Galerkin} Methods},
Replaced words: Galerkin,
title = {Discontinuous {Galerkin} methods for compressible flows: higher order accuracy, error estimation and adaptivity},
Replaced words: Galerkin,
title = {Adjoint Consistency Analysis of Discontinuous {Galerkin} Discretizations},
Replaced words: deal.II, II,
title = {{deal.{II}}---A general-purpose object-oriented finite element library},
Replaced words: Galerkin,
title = {A Comparison of Discontinuous and Continuous {Galerkin} Methods Based on Error Estimates, Conservation, Robustness and Efficiency},
Replaced words: Galerkin,
title = {Stabilized discontinuous {Galerkin} method for hyperbolic equations},
Replaced words: SUPG,
title = {Stabilization and shock-capturing parameters in {SUPG} formulation of compressible flows},
title = {Stabilized Finite Element Formulations for Incompressible Flow Computations},
Replaced words: Euler,
title = {Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible {Euler} equations},
title = {Characteristic modal shock detection for discontinuous finite element methods},
Replaced words: HWENO, RKDG, WENO, ENO, DG,
title = {Comparison of {WENO} and {HWENO} limiters for the {RKDG} method implementation},
title = {Detecting troubled-cells on two-dimensional unstructured grids using a neural network},
title = {An artificial neural network as a troubled-cell indicator},
title = {Global Aerodynamic Design Optimization via Primal-Dual Aggregation Method},
title = {Stochastic Gradient Descent: Recent Trends},
title = {A study of Nash-EGO algorithm for aerodynamic shape design optimizations},
title = {Immersogeometric Analysis of Compressible Flows},
Replaced words: Navier, Stokes, Euler, I,
title = {A new finite element formulation for computational fluid dynamics: {I}. Symmetric forms of the compressible {Euler} and {Navier}-{Stokes} equations and the second law of thermodynamics},
Replaced words: III, II,
title = {A new finite element formulation for computational fluid dynamics: {III}. The generalized streamline operator for multidimensional advective-diffusive systems},
Replaced words: Navier, Stokes, Euler, X,
title = {A new finite element formulation for computational fluid dynamics: {X}. The compressible {Euler} and {Navier}-{Stokes} equations},
Replaced words: IV,
title = {A new finite element formulation for computational fluid dynamics: {IV}. A discontinuity-capturing operator for multidimensional advective-diffusive systems},
Replaced words: Bernstein, Bezier,
title = {Geometrically Exact and Analysis Suitable Mesh Generation using Rational {Bernstein}-{Bezier} Elements},
Replaced words: Galerkin,
title = {Adjoint-based airfoil optimization with adaptive isogeometric discontinuous {Galerkin} method},
title = {Computational Fluid Dynamics},
Replaced words: Lagrange, Newton, Krylov, Schur, PDE, II,
title = {Parallel {Lagrange}-{Newton}-{Krylov}-{Schur} Methods for {PDE}-Constrained Optimization. Part {II}: The {Lagrange}-{Newton} Solver and Its Application to Optimal Control of Steady Viscous Flows},
Replaced words: Lagrange, Newton, Krylov, Schur, PDE, I,
title = {Parallel {Lagrange}-{Newton}-{Krylov}-{Schur} Methods for {PDE}-Constrained Optimization. Part {I}: The {Krylov}-{Schur} Solver},
Replaced words: Newton,
title = {Solving Nonlinear Equations with {Newton}'s Method},
Replaced words: GMRES,
title = {A dynamically deflated {GMRES} adjoint solver for aerodynamic shape optimization},
Replaced words: PDE,
title = {Adjoint Recovery of Superconvergent Functionals from {PDE} Approximations},
title = {Some improvements in the use of relaxation methods for the solution of ordinary and partial differential equations},
title = {Defect Correction Methods},
Replaced words: Navier, Stokes,
title = {Subgrid Stabilized Defect Correction Methods for the {Navier}-{Stokes} Equations},
title = {Guide to multigrid development},
title = {Computable Error Estimators and Adaptive Techniques for Fluid Flow Problems},
Replaced words: Monte, Carlo,
title = {Multilevel {Monte} {Carlo} Path Simulation},
title = {Uncertainty Quantification and Predictive Computational Science},
title = {Finite element methods for partial differential equations},
title = {An Introduction to the Conjugate Gradient Method Without the Agonizing Pain},
Replaced words: Navier, Stokes,
title = {A High-Order Accurate Discontinuous Finite Element Method for the Numerical Solution of the Compressible {Navier}-{Stokes} Equations},
Replaced words: Euler, 3D,
title = {Fully anisotropic goal-oriented mesh adaptation for {3D} steady {Euler} equations},
Replaced words: Euler,
title = {A Survey of the Isentropic {Euler} Vortex Problem using High-Order Methods},
title = {Quality-Preserving Linear Elasticity Mesh Movement Algorithm for Multi-Element Unstructured Meshes},
Replaced words: PDE,
title = {One-shot methods in function space for {PDE}-constrained optimal control problems},
Replaced words: Galerkin, Euler,
title = {Implicit solution of the unsteady {Euler} equations for high-order accurate discontinuous {Galerkin} discretizations},
title = {Mesh and Polynomial Adaptation for High-Order Discretizations of Compressible Flows},
title = {An optimization-based framework for anisotropic hp-adaptation of high-order discretizations},
title = {Some solutions of the equations of flow of a viscous compressible fluid},
Replaced words: Galerkin,
title = {Skew-symmetric entropy stable modal discontinuous {Galerkin} formulations},
Replaced words: Galerkin, CDG, DG,
title = {The Compact Discontinuous {Galerkin} ({CDG}) Method for Elliptic Problems},
Replaced words: Galerkin,
title = {A High Order Discontinuous {Galerkin} Method for Compressible Turbulent Flows},
Replaced words: Galerkin,
title = {Interior Penalty Procedures for Elliptic and Parabolic {Galerkin} Methods},
title = {A discontinuous hp finite element method for convection-diffusion problems},
Replaced words: Galerkin,
title = {Compact and Stable Discontinuous {Galerkin} Methods for Convection-Diffusion Problems},
title = {An Interior Penalty Finite Element Method with Discontinuous Elements},
Replaced words: Galerkin,
title = {Numerical Analysis of Higher Order Discontinuous {Galerkin} Finite Element Methods},
title = {A comprehensive high-order solver verification methodology for free fluid flows},
Replaced words: Galerkin,
title = {An analysis of the discontinuous {Galerkin} method for a scalar hyperbolic equation},
Replaced words: Galerkin,
title = {Very High-Order Accurate Discontinuous {Galerkin} Computation of Transonic Turbulent Flows on Aeronautical Configurations},
Replaced words: Navier, Stokes, DG, I,
title = {Symmetric Interior Penalty {DG} Methods for the Compressible {Navier}--{Stokes} Equations {I}: Method Formulation},
Replaced words: Navier, Stokes, DG, II,
title = {Symmetric Interior Penalty {DG} Methods for the Compressible {Navier}--{Stokes} Equations {II}: Goal--Oriented A Posteriori Error Estimation},
Replaced words: Galerkin, Navier, Stokes,
title = {Numerical evaluation of two discontinuous {Galerkin} methods for the compressible {Navier}-{Stokes} equations},
title = {Scalable Tensor-Product Preconditioners for High-Order Finite-Element Methods: Scalar Equations},
Replaced words: Galerkin, Euler,
title = {Well-Balanced Nodal Discontinuous {Galerkin} Method for {Euler} Equations with Gravity},
Replaced words: 3D,
title = {Error estimation and anisotropic mesh refinement for {3D} laminar aerodynamic flow simulations},
Replaced words: Galerkin,
title = {A discontinuous {Galerkin} method based on a Taylor basis for the compressible flows on arbitrary grids},
Replaced words: Galerkin, Navier, Stokes,
title = {Multigrid Solution for High-Order Discontinuous {Galerkin} Discretizations of the Compressible {Navier}-{Stokes} Equations},
title = {Derivative-free optimization methods},
Replaced words: Galerkin,
title = {Discontinuous {Galerkin} Method},
Replaced words: Galerkin,
title = {Discontinuous {Galerkin} Methods for Solving Elliptic and Parabolic Equations},
Replaced words: Galerkin,
title = {Robust and efficient discontinuous {Galerkin} methods for under-resolved turbulent incompressible flows},
Replaced words: CFD, I,
title = {{I} do like {CFD}},
Replaced words: Runge, Kutta,
title = {Total variation diminishing {Runge}-{Kutta} schemes},
Replaced words: Riemann, HLL,
title = {Restoration of the contact surface in the {HLL}-{Riemann} solver},
title = {Algorithms and data structures for massively parallel generic adaptive finite element codes},
Replaced words: Roe,
title = {A new {Roe}-type scheme for all speeds},
title = {Asynchronous fine-grain parallel implicit smoother in multigrid solvers for compressible flow},
Replaced words: Galerkin,
title = {An a posteriori Error Control Framework for Adaptive Precision Optimization using Discontinuous {Galerkin} Finite Element Method},
title = {Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation},
Replaced words: Galerkin,
title = {A unifying lifting collocation penalty formulation including the discontinuous {Galerkin}, spectral volume/difference methods for conservation laws on mixed grids},
Replaced words: Galerkin,
title = {On discretely entropy conservative and entropy stable discontinuous {Galerkin} methods},
title = {Generation of Curved High-order Meshes with Optimal Quality and Geometric Accuracy},
title = {Geometrical validity of curvilinear finite elements},
title = {The Generation of Valid Curvilinear Meshes},
title = {Optimizing the geometrical accuracy of curvilinear meshes},
Replaced words: RANS, DES,
title = {Differential equation-based wall distance computation for {DES} and {RANS}},
title = {A linear-elasticity solver for higher-order space-time mesh deformation},
Replaced words: C++,
title = {Fast Reverse-Mode Automatic Differentiation using Expression Templates in {C}++},
title = {Preconditioning},
title = {Preconditioning Techniques for Large Linear Systems: A Survey},
title = {Nonlinear Continuum Mechanics for Finite Element Analysis},
Replaced words: Newton, Krylov,
title = {Mesh Movement for a Discrete-Adjoint {Newton}-{Krylov} Algorithm for Aerodynamic Optimization},
title = {Global Convergence Rate Analysis of a Generic Line Search Algorithm with Noise},
Replaced words: DG,
title = {Novel implicit unconditionally stable time-stepping for {DG}-type methods and related topics},
Replaced words: Galerkin,
title = {An Optimization-Based Discontinuous {Galerkin} Approach for High-Order Accurate Shock Tracking with Guaranteed Mesh Quality},
title = {An optimization-based approach for high-order accurate discretization of conservation laws with discontinuous solutions},
Replaced words: Galerkin,
title = {Implicit shock tracking using an optimization-based, $r$-adaptive, high-order discontinuous {Galerkin} method},
Replaced words: SQP, QP, QP,
title = {On an inexact trust-region {SQP}-filter method for constrained nonlinear optimization},
title = {A Trust Region Algorithm for Nonlinearly Constrained Optimization},
title = {Computing a Trust Region Step},
title = {The Full-Spaced Approach to Adjoint-Based Aerodynamic Design Optimization},
title = {15. Sequential Quadratic Programming Methods},
title = {An interface optimization and application for the numerical solution of optimal control problems},
title = {The second order adjoint analysis: Theory and applications},
Replaced words: Newton, Krylov, Gauss,
title = {Parallel Multiscale {Gauss}-{Newton}-{Krylov} Methods for Inverse Wave Propagation},
Replaced words: Riemann,
title = {Approximate {Riemann} solvers, parameter vectors, and difference schemes},
Replaced words: GPU,
title = {High-order matrix-free incompressible flow solvers with {GPU} acceleration and low-order refined preconditioners},
Replaced words: Galerkin,
title = {Efficient low-order refined preconditioners for high-order matrix-free continuous and discontinuous {Galerkin} methods},
title = {Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods},
Replaced words: Krylov,
title = {{Krylov}-subspace Methods with Dynamic Deflated Restarting for Solving Adjoint Systems of Equations for Aerodynamic Shape Optimization},
Replaced words: GMRES,
title = {Flexible {GMRES} with Deflated Restarting},
Replaced words: GMRES,
title = {{GMRES} with Deflated Restarting},
title = {Computation of Unsteady Incompressible Flows with the Stabilized Finite Element Methods: Space-Time Formulations, Iterative Strategies and Massively Parallel Implementations},
title = {Rapid Optimization Library},
Replaced words: Newton,
title = {Updating quasi-{Newton} matrices with limited storage},
Replaced words: CFD,
title = {5th International Workshop on High-Order {CFD} Methods},
title = {Linear multipoint constraints applied via transformation as part of a direct stiffness assembly process},
Replaced words: PHiLiP,
title = {{\texttt{{PHiLiP}}}},
Replaced words: PDE,
title = {Comparison of Reduced- and Full-space Algorithms for {PDE}-constrained Optimization},
Replaced words: Sacado,
title = {{Sacado}},
title = {Three-Dimensional Large-Scale Aerodynamic Shape Optimization Based on Shape Calculus},
title = {Inverses of 2 $\times$ 2 block matrices},
title = {Numerical Methods and Optimization},
title = {Convergence Analysis of Pseudo-Transient Continuation},
Replaced words: Epetra,
title = {{Epetra}},
Replaced words: Newton,
title = {Choosing the Forcing Terms in an Inexact {Newton} Method},
Replaced words: SU2,
title = {Large-scale aircraft design using {SU2}},
title = {On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming},
Replaced words: Galerkin,
title = {Approximate tensor-product preconditioners for very high order discontinuous {Galerkin} methods},
title = {Spectral methods for problems in complex geometries},
Replaced words: Galerkin,
title = {p-Multigrid matrix-free discontinuous {Galerkin} solution strategies for the under-resolved simulation of incompressible turbulent flows},
Replaced words: Galerkin, CFL,
title = {A robust {CFL} condition for the discontinuous {Galerkin} method on triangular meshes},
Replaced words: Galerkin,
title = {Free-Stream Preservation for Curved Geometrically Non-conforming Discontinuous {Galerkin} Spectral Elements},
title = {Metric Identities and the Discontinuous Spectral Element Method on Curvilinear Meshes},
Replaced words: Euler,
title = {In Pursuit of Grid Convergence for Two-Dimensional {Euler} Solutions},
title = {Robust aerodynamic shape optimization -- From a circle to an airfoil},
title = {The Importance of Mesh Adaptation for Higher-Order Discretizations of Aerodynamic Flows},
Replaced words: FEM, PDE, FE, DG, I,
title = {Shock capturing with {PDE}-based artificial viscosity for DGFEM: Part {I}. Formulation},
title = {Efficient Application of Automatic Differentiation to a Second-Order Unstructured Heterogeneous Computational Aerodynamics Algorithm},
Replaced words: Galerkin,
title = {Comparison of implicit and explicit hybridizable discontinuous {Galerkin} methods for the acoustic wave equation},
title = {Tangent and adjoint problems in partially converged flows},
title = {Efficient algorithms for future aircraft design:contributions to aerodynamic shape optimization},
title = {A Guide to the Implementation of Boundary Conditions in Compact High-Order Methods for Compressible Aerodynamics},
title = {Adaptive IMEX schemes for high-order unstructured methods},
Replaced words: NACA,
title = {High-Order Implicit Large-Eddy Simulations of Flow over a {NACA}0021 Aerofoil},
title = {Perspectives on aerodynamic design optimization},
title = {Insights on the coercivity of the ESFR methods for elliptic problems},
Replaced words: Galerkin,
title = {Discontinuous {Galerkin} Method},
Replaced words: NACA,
title = {C1.3 Flow over the {NACA}0012 airfoil, inviscid and viscous,subsonic and transonic},
Replaced words: Galerkin,
title = {Smooth and Compactly Supported Viscous Sub-cell Shock Capturing for Discontinuous {Galerkin} Methods},
Replaced words: Newton,
title = {A Residual Smoothing Strategy for Accelerating {Newton} Method Continuation},
title = {Practical Methods of Optimization},
title = {On the Implementation of a Primal-Dual Interior Point Method},
title = {Interior-point methods},
title = {The interior-point revolution in optimization: History, recent developments, and lasting consequences},
title = {Twenty-Five Years of Interior Point Methods},
title = {Nonlinear Programming Codes},
title = {Iterative Methods for Optimization},
title = {Linear and Nonlinear Programming},
title = {Full-space approach to aerodynamic shape optimization},
title = {Sequential Quadratic Programming},
Replaced words: Fortran, NLPQL, LP,
title = {{NLPQL}: A {Fortran} subroutine solving constrained nonlinear programming problems},
Replaced words: Hessian, SQP, QP, QP,
title = {Quadratic programming methods for reduced {Hessian} {SQP}},
title = {A numerically stable dual method for solving strictly convex quadratic programs},
Replaced words: II,
title = {Stability Theory For Systems Of Inequalities, Part {II}: Differentiable Nonlinear Systems},
Replaced words: Newton,
title = {The Primal-Dual Active Set Strategy as a Semismooth {Newton} Method},
title = {Box Constrained Quadratic Programming with Proportioning and Projections},
title = {Large-Scale Active-Set Box-Constrained Optimization Method with Spectral Projected Gradients},
Replaced words: PDE,
title = {Numerical {PDE}-Constrained Optimization},
title = {A parallel active-set method for solving frictional contact problems},
title = {Visualizing the Loss Landscape of Neural Nets},
title = {Continuous-in-Depth Neural Networks},
title = {Deep Learning},
Replaced words: Galerkin, Navier, Stokes,
title = {On the development, verification, and validation of a discontinuous {Galerkin} solver for the {Navier}-{Stokes} equations},
title = {Identifying and attacking the saddle point problem in high-dimensional non-convex optimization},
title = {Some methods of speeding up the convergence of iteration methods},
title = {A method of solving a convex programming problem with convergencerate $O(1/k^2)$},
Replaced words: Hessian,
title = {Deep Learning via {Hessian}-Free Optimization},
title = {Visualizing the Loss Landscape of Neural Nets},
Replaced words: Hessian,
title = {Singularity of the {Hessian} in Deep Learning},
Replaced words: Hessian,
title = {Empirical Analysis of the {Hessian} of Over-Parametrized Neural Networks},
title = {Sparse machine learning models in bioinformatics},
Replaced words: L-BFGS, Mach, BFGS,
title = {A Progressive Batching {L-{BFGS}} Method for Machine Learning},
title = {Dropout: A Simple Way to Prevent Neural Networks from Overfitting},
title = {Neural Ordinary Differential Equations},
title = {Optimal State Estimation},
Replaced words: Newton,
title = {Semi-smooth {Newton} methods for state-constrained optimal control problems},
Replaced words: Lagrangian, Hilbert,
title = {Augmented {Lagrangian} methods for nonsmooth, convex optimization in {Hilbert} spaces},
title = {Preconditioning for partial differential equation constrained optimization with control constraints},
Replaced words: PDE,
title = {Primal-dual interior-point methods for {PDE}-constrained optimization},
title = {Primal-Dual Strategy for Constrained Optimal Control Problems},
title = {A multigrid method for constrained optimal control problems},
title = {The Primal-Dual Active Set Method for Nonlinear Optimal Control Problems with Bilateral Constraints},
title = {Numerical Solution of Optimal Control Problems with Convex Control Constraints},
title = {Aerodynamic shape optimization of complex aircraft configurations via an adjoint formulation},
Replaced words: Euler,
title = {{Euler}-Equation-Based Drag Minimization of Unconventional Aircraft Configurations},
title = {Three-Dimensional Aerodynamic Design Optimization of a Turbine Blade by Using an Adjoint Method},
title = {Numerical methods for conservation laws},
title = {Grid adaptation for large eddy simulation using feature-based and goal-oriented error estimators},
title = {Asynchronous fine-grain parallel iterative solvers for computational fluid dynamics},
Replaced words: SciCompKL, CoDiPack,
title = {{SciCompKL}/{CoDiPack}: Version 1.9.3},
Replaced words: Ifpack,
title = {{Ifpack}},
title = {On an extension of one-shot methods to incorporate additional constraints},
title = {An optimization-based approach to mesh-polynomial adaptation of high-order discretizations},
title = {An efficient numerical framework for sensitivity analysis for unsteady flows},
title = {New Results for the Handling of Additional Equality Constraints in One-Shot Optimization},
title = {A new polynomial-time algorithm for linear programming},
title = {Primal and dual active-set methods for convex quadratic programming},
title = {A Primal-Dual Active Set Strategy for Optimal Boundary Control of a Nonlinear Reaction-Diffusion System},
title = {Constrained pseudo-transient continuation},
Replaced words: Navier, Stokes,
title = {A multistage time-stepping scheme for the {Navier}-{Stokes} equations},
title = {Aerodynamic design optimization: Challenges and perspectives},
title = {Spectra and Pseudospectra},
title = {An aperiodic monotile},
Replaced words: Galerkin,
title = {Hybridizable discontinuous {Galerkin} methods for partial differential equations in continuum mechanics},
Replaced words: Galerkin,
title = {Shock Capturing for High-Order Discontinuous {Galerkin} Simulation of Transient Flow Problems},
title = {Verification and validation in computational science and engineering},
Replaced words: Schur,
title = {Ausgew\"ahlte Arbeiten zu den Urspr\"ungen der {Schur}-Analysis},
Replaced words: Schur, Basel,
title = {On the {Schur} complement, {Basel} mathematical notes},
title = {No free lunch theorems for optimization},
title = {Multigrid One-Shot Method for State Constrained Aerodynamic Shape Optimization},
Replaced words: Newton, Krylov,
title = {A Fully-Coupled {Newton}-{Krylov} Algorithm for Aerodynamic Optimization},
title = {Wing Design by Numerical Optimization},
Replaced words: Galerkin,
title = {The Development of Discontinuous {Galerkin} Methods},
Replaced words: Galerkin, Navier, Stokes,
title = {Discontinuous {Galerkin} solution of the {Navier}-{Stokes} equations on deformable domains},
Replaced words: Galerkin, Navier, Stokes,
title = {An optimal order interior penalty discontinuous {Galerkin} discretization of the compressible {Navier}-{Stokes} equations},
title = {A goal-oriented anisotropic hp-mesh adaptation method for linear convection-diffusion-reaction problems},
Replaced words: Galerkin, Navier, Stokes,
title = {On the discontinuous {Galerkin} method for the numerical solution of the {Navier}-{Stokes} equations},
Replaced words: Reynolds, Galerkin, Navier, Stokes,
title = {Discontinuous {Galerkin} solution of the {Reynolds}-averaged {Navier}-{Stokes} and k-$\upomega$ turbulence model equations},
Replaced words: Galerkin, Navier, Stokes,
title = {Pseudo-time stepping methods for space-time discontinuous {Galerkin} discretizations of the compressible {Navier}-{Stokes} equations},
Replaced words: Galerkin, Navier, Stokes,
title = {A Note on Discontinuous {Galerkin} Divergence-free Solutions of the {Navier}-{Stokes} Equations},
Replaced words: Navier, Stokes, Euler,
title = {Verification of {Euler}/{Navier}-{Stokes} codes using the method of manufactured solutions},
Replaced words: Galerkin, Runge, Kutta,
title = {A numerical study for the performance of the {Runge}-{Kutta} discontinuous {Galerkin} method based on different numerical fluxes},
Replaced words: Galerkin, Newton, Navier, Stokes, GMRES,
title = {{Newton}-{GMRES} Preconditioning for Discontinuous {Galerkin} Discretizations of the {Navier}-{Stokes} Equations},
Replaced words: Cuthill, McKee,
title = {Comparative Analysis of the {Cuthill}-{McKee} and the Reverse {Cuthill}-{McKee} Ordering Algorithms for Sparse Matrices},
Replaced words: C++,
title = {Automatic Differentiation of {C}++ Codes for Large-Scale Scientific Computing},
title = {Aerodynamic Shape Optimization of Common Research Model Wing-Body-Tail Configuration},
Replaced words: Newton, Krylov,
title = {{Newton}-{Krylov} Full-Space Aerodynamic Shape Optimization},
Replaced words: PyFR,
title = {{PyFR}: An open source framework for solving advection-diffusion type problems on streaming architectures using the flux reconstruction approach},
Replaced words: Jacobian, Newton, Jacobi, Krylov, RANS,
title = {A {Jacobian}-free approximate {Newton}-{Krylov} startup strategy for {RANS} simulations},
Replaced words: Galerkin,
title = {A Novel Robust Strategy for Discontinuous {Galerkin} Methods in Computational Fluid Mechanics: Why? When? What? Where?},
Replaced words: Navier, Stokes,
title = {A hybrid mixed method for the compressible {Navier}-{Stokes} equations},
Replaced words: Galerkin,
title = {A Study of Several Artificial Viscosity Models within the Discontinuous {Galerkin} Framework},
Replaced words: Ridge Rider, Hessian,
title = {{Ridge Rider}: Finding Diverse Solutions by Following Eigenvectors of the {Hessian}},