Uniform convergence and preconditioning methods for projection nonconforming and mixed methods for nonselfadjoint and indefinite problems
type: Item
instance of: scholarly article
title: Uniform convergence and preconditioning methods for projection nonconforming and mixed methods for nonselfadjoint and indefinite problems
zbMATH Open document ID: 0970.65114
DOI: 10.1016/S0045-7825(99)00347-3
author: Jinru Chen
author: Likang Li
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2000-06-04T00:00:00Z
review text: This paper is mainly concerned with the approximation of the solution of an elliptic problem on a bounded polygonal domain in two dimensions. Basic ingredients are some associated mixed and projection nonconforming element methods for which equivalence of the formulations, existence, uniqueness and uniform convergence of the approximated solutions are proved. Moreover, the error estimate is given as well as properties of discrete compactness and preconditioning methods. Only theoretical studies are developed without any numerical experiments.
reviewed by: Michel Bernadou
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65F35
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 1454746
zbMATH Keywords: uniform convergence
zbMATH Keywords: preconditioning
zbMATH Keywords: nonconforming element
zbMATH Keywords: mixed element
zbMATH Keywords: indefinite problems
zbMATH Keywords: elliptic problem
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1454746