A nonoverlapping domain decomposition method for nonconforming finite element problems
type: Item
instance of: scholarly article
title: A nonoverlapping domain decomposition method for nonconforming finite element problems
zbMATH Open document ID: 1048.65123
author: Qingping Deng
published in: Communications on Pure and Applied Analysis
publication date: 2004-03-08T00:00:00Z
review text: A non-overlapping domain decomposition method for solving second-order elliptic boundary value problems is presented. The considered problems are discretized by means of non-conforming Crouzeix-Raviart elements. In each iteration step of the domain decomposition algorithm a subproblem with Robin-type boundary conditions has to be solved in each subdomain and a derivative-free data updating on the interface has to be performed. The convergence of the proposed method is proved and estimates of the convergence rate are given. Two numerical examples demonstrate the convergence behaviour of the presented domain decomposition algorithm. The algorithm is well-suited for parallel computers with MIMD architecture.
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65Y05
zbMATH DE Number: 2053141
zbMATH Keywords: iterative method
zbMATH Keywords: non-overlapping domain decomposition method
zbMATH Keywords: non-conforming finite element method
zbMATH Keywords: convergence
zbMATH Keywords: parallel algorithms
zbMATH Keywords: second-order elliptic boundary value problems
zbMATH Keywords: Crouzeix-Raviart elements
zbMATH Keywords: Robin-type boundary conditions
zbMATH Keywords: numerical examples
reviewed by: Michael Jung
MaRDI profile type: Publication
full work available at URL: cpaa.2003.2.297
OpenAlex ID: W2015280312
DOI: 10.3934/CPAA.2003.2.297
description: scientific article; zbMATH DE number 2053141