Finite Elements method for the advection-diffusion-reaction problem
-ϵu''(x)+αu'(x)+βu(x)=f(x) x∈[a,b]
u(a) = u0, u(b) = u1
Solution of the 1D problem
- picewise polynomials of first order
- picewise polynomials of second order
Finite Element method for the 1D Advection-Diffusion-Reaction problem
Finite Elements method for the advection-diffusion-reaction problem
-ϵu''(x)+αu'(x)+βu(x)=f(x) x∈[a,b]
u(a) = u0, u(b) = u1
Solution of the 1D problem
Finite Element method for the 1D Advection-Diffusion-Reaction problem