Grid adjustment for parabolic systems based on a posteriori error estimates
type: Item
instance of: scholarly article
title: Grid adjustment for parabolic systems based on a posteriori error estimates
zbMATH Open document ID: 0939.65107
DOI: 10.1016/0377-0427(95)00063-1
published in: Journal of Computational and Applied Mathematics
publication date: 2000-07-10T00:00:00Z
review text: Parabolic systems with an elliptic operator represented by a general symmetric positive definite matrix are studied. The author formulates a simple parabolic model problem and proposes its discretization by the method of lines. Subsequently, the concept of error indicator and error estimator are introduced. A numerical experiment with grid adjustment is also presented.
reviewed by: S. C. Rajvanshi
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 65M50
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35K15
zbMATH DE Number: 903517
zbMATH Keywords: error estimates
zbMATH Keywords: parabolic systems
zbMATH Keywords: method of lines
zbMATH Keywords: numerical experiment
zbMATH Keywords: grid adjustment
author: Karel Segeth
describes a project that uses: DASSL
MaRDI profile type: Publication
full work available at URL: 0377-0427(95)00063-1
OpenAlex ID: W1991663513
cites work: A Moving Finite Element Method with Error Estimation and Refinement for One-Dimensional Time Dependent Partial Differential Equations
cites work: A posteriori error estimation with finite element methods of lines for one-dimensional parabolic systems
cites work: A‐posteriori error estimates for the finite element method
cites work: The finite element method for parabolic equations. II. A posteriori error estimation and adaptive approach
cites work: Order Results for Implicit Runge–Kutta Methods Applied to Differential/Algebraic Systems
cites work: A posteriori error estimates for parabolic differential systems solved by the finite element method of lines
description: scientific article; zbMATH DE number 903517