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 Faustmann100.68
Jens Markus Melenk213324.18