Thumbnail Image
Publication

Maximum-norm a posteriori error estimates for singularly perturbed reaction-diffusuion problems on anisotropic meshes

Date
2015
Abstract
Residual-type a posteriori error estimates in the maximum 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.
Supervisor
Description
peer-reviewed
Publisher
Society for Industrial and Applied Mathematics (SIAM)
Citation
SIAM Journal on Numerical Analysis;53 (6), pp. 2519-2544
Collections
Mathematics & Statistics
Show all metadata
Files
Thumbnail Image
rd_ani_R1_mar15__.pdf
Adobe PDF, 512.68 KB
Keywords
a posteriori error estimate, anisotropic triangulation, maximum norm, singular perturbation, reaction-diffusion, elliptic problems, tetrahedral meshes, equations
ULRR Identifiers
https://hdl.handle.net/10344/5604
 https://doi.org/10.34961/4178
Funding code
Funding Information
Sustainable Development Goals
External Link
License
Embedded videos