Title | ||
---|---|---|
Robust exponential convergence of hp-FEM in balanced norms for singularly perturbed reaction-diffusion problems: Corner domains. |
Abstract | ||
---|---|---|
Abstract The h p -version of the finite element method is applied to singularly perturbed reaction–diffusion type equations on polygonal domains. The solution exhibits boundary layers as well as corner layers. On a class of meshes that are suitably refined near the boundary and the corners, robust exponential convergence (in the polynomial degree) is shown in both a balanced norm and the maximum norm. |
Year | Venue | Field |
---|---|---|
2017 | Computers & Mathematics with Applications | Mathematical optimization,Mathematical analysis,Interpolation,Singular perturbation,Operator (computer programming),Chebyshev filter,Exponential convergence,Reaction–diffusion system,hp-FEM,Mathematics,Kernel (statistics) |
DocType | Volume | Issue |
Journal | 74 | 7 |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Markus Faustmann | 1 | 0 | 0.68 |
Jens Markus Melenk | 2 | 133 | 24.18 |