A two-grid parallel partition of unity finite element scheme
type: Item
instance of: scholarly article
title: A two-grid parallel partition of unity finite element scheme
zbMATH Open document ID: 1428.65063
author: Guangzhi Du
author: Liyun Zuo
published in: Numerical Algorithms
publication date: 2019-02-07T00:00:00Z
review text: For linear elliptic boundary value problems a two-grid parallel partition of unity finite element scheme is proposed and analyzed. This interesting scheme features include: \begin{itemize} \item[(1)] a partition of unity is constructed to derive the globally continuous finite element solution; \item[(2)] errors decay exponentially with patches of diameter kH increase; and \item[(3)] a global coarse grid correction is done to improve the \(L2\)-accuracy of the approximation. \end{itemize} Numerical experiments are presented at the end to support our analysis.
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 65Y05
zbMATH DE Number: 7015332
zbMATH Keywords: partition of unity
zbMATH Keywords: parallel algorithm
zbMATH Keywords: error estimates
zbMATH Keywords: finite element
zbMATH Keywords: two-grid method
describes a project that uses: FreeFem++
describes a project that uses: SG
MaRDI profile type: Publication
full work available at URL: s11075-018-0491-5
OpenAlex ID: W2791261914
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DOI: 10.1007/S11075-018-0491-5
description: scientific article; zbMATH DE number 7015332