Improved maximum-norm a posteriori error estimates for linear and semilinear parabolic equations
type: Item
instance of: scholarly article
title: Improved maximum-norm a posteriori error estimates for linear and semilinear parabolic equations
zbMATH Open document ID: 1378.65167
author: Natalia Kopteva
author: Torsten Linss
published in: Advances in Computational Mathematics
publication date: 2017-12-06T00:00:00Z
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 35K58
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65L06
zbMATH DE Number: 6816262
zbMATH Keywords: parabolic problems
zbMATH Keywords: maximum-norm a posteriori error estimates
zbMATH Keywords: backward Euler
zbMATH Keywords: Crank-Nicolson
zbMATH Keywords: elliptic reconstructions
zbMATH Keywords: semidiscretization
zbMATH Keywords: numerical example
MaRDI profile type: Publication
full work available at URL: s10444-017-9514-3
OpenAlex ID: W2592448143
cites work: Q5610080
cites work: Non-Gaussian Aspects of Heat Kernel Behaviour
cites work: Maximum-norm a posteriori error estimates for singularly perturbed elliptic reaction-diffusion problems
cites work: A Posteriori Error Estimates in the Maximum Norm for Parabolic Problems
cites work: Sharply local pointwise a posteriori error estimates for parabolic problems
cites work: Adaptive Finite Element Methods for Parabolic Problems II: Optimal Error Estimates in $L_\infty L_2 $ and $L_\infty L_\infty $
cites work: Q5520962
cites work: Q3151394
cites work: Maximum-Norm A Posteriori Error Estimates for Singularly Perturbed Reaction-Diffusion Problems on Anisotropic Meshes
cites work: Maximum norm a posteriori error estimation for a time-dependent reaction-diffusion problem
cites work: Maximum norm a posteriori error estimation for parabolic problems using elliptic reconstructions
cites work: Numerical Study of Maximum Norm a Posteriori Error Estimates for Singularly Perturbed Parabolic Problems
cites work: Q5562267
cites work: Maximum-norm error analysis of a non-monotone FEM for a singularly perturbed reaction-diffusion problem
cites work: A posteriori error estimation for arbitrary order FEM applied to singularly perturbed one-dimensional reaction-diffusion problems.
cites work: Elliptic Reconstruction and a Posteriori Error Estimates for Parabolic Problems
cites work: Pointwise a posteriori error estimates for monotone semi-linear equations
DOI: 10.1007/S10444-017-9514-3
description: scientific article; zbMATH DE number 6816262