yifanc96 / ExponentialMsFEM.jl

Exponentially convergent multiscale finite element methods

ExponentialMsFEM

Exponentially convergent multiscale finite element methods.

Code for MsFEM is finished.

Code for ExpMsFEM is not cleaned.

Relevant papers:

1. Yifan Chen, Thomas Y. Hou, Yixuan Wang. "Exponential Convergence for Multiscale Linear Elliptic PDEs via Adaptive Edge Basis Functions", SIAM Multiscale Modeling and Simulation, 2021.

2. Yifan Chen, Thomas Y. Hou, Yixuan Wang. "Exponentially convergent multiscale methods for high frequency heterogeneous Helmholtz equations", SIAM Multiscale Modeling and Simulation, 2023.

3. Yifan Chen, Thomas Y. Hou, and Yixuan Wang. "Exponentially convergent multiscale finite element method". Communications on Applied Mathematics and Computation, 2023.