Paper Info
Title
Energy-norm a posteriori error estimates for singularly perturbed reaction-diffusion problems on anisotropic meshes.
Abstract
Residual-type a posteriori error estimates in the energy norm are given for singularly perturbed semilinear reaction-diffusion equations posed in polygonal domains. Linear finite elements are considered on anisotropic triangulations. The error constants are independent of the diameters and the aspect ratios of mesh elements and of the small perturbation parameter. To deal with anisotropic triangulations, a special quasi-interpolation operator is employed that may be of independent interest.
Year
DOI
Venue
2017
10.1007/s00211-017-0889-3
Numerische Mathematik
Keywords
Field
DocType
65N15, 65N30
Aspect ratio (image),Polygon,Mathematical optimization,Anisotropy,Mathematical analysis,A priori and a posteriori,Finite element method,Operator (computer programming),Reaction–diffusion system,Mathematics,Perturbation (astronomy)
Journal
Volume
Issue
ISSN
137
3
0029-599X
Citations 
PageRank 
References 
0
0.34
7
Authors
1
Name
Order
Citations
PageRank
Natalia Kopteva113022.08