Error estimates using the cell discretization method for some parabolic problems
type: Item
instance of: scholarly article
title: Error estimates using the cell discretization method for some parabolic problems
zbMATH Open document ID: 0856.65105
DOI: 10.1016/0377-0427(95)00189-1
author: Howard Swann
published in: Journal of Computational and Applied Mathematics
publication date: 1997-02-11T00:00:00Z
review text: The cell discretization method is used to approximate solutions to parabolic problems with coefficients independent of time. Error estimates are obtained showing general convergence for homogeneous problems. A polynomial implementation of the algorithm is described. It can be viewed as a nonconforming extension of the finite element method that can also produce the continuous approximations of an \(h-p\) finite element method. Numerical tests confirming the theoretical estimates are discussed.
reviewed by: Roumen Anguelov
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 908346
zbMATH Keywords: primal hybrid method
zbMATH Keywords: numerical examples
zbMATH Keywords: error estimates
zbMATH Keywords: \(h-p\) finite element method
zbMATH Keywords: cell discretization method
zbMATH Keywords: convergence
zbMATH Keywords: algorithm
MaRDI profile type: Publication
full work available at URL: 0377-0427(95)00189-1
OpenAlex ID: W2011328714
cites work: The h‐p version of the finite element method for parabolic equations. II. The h‐p version in time
cites work: On the Convergence Rate of the Cell Discretization Algorithm for Solving Elliptic Problems
cites work: The Cell Discretization Algorithm for Elliptic Partial Differential Equations
cites work: Error estimates for some mixed finite element methods for parabolic type problems
cites work: Primal Hybrid Finite Element Methods for 2nd Order Elliptic Equations
cites work: On the Use of Lagrange Multipliers in Domain Decomposition for Solving Elliptic Problems
cites work: Some Interior Estimates for Semidiscrete Galerkin Approximations for Parabolic Equations
cites work: Negative Norm Estimates and Superconvergence in Galerkin Methods for Parabolic Problems
cites work: Q4727360
cites work: Q3760934
description: scientific article; zbMATH DE number 908346