Error analysis of a fictitious domain method applied to a Dirichlet problem
type: Item
instance of: scholarly article
title: Error analysis of a fictitious domain method applied to a Dirichlet problem
zbMATH Open document ID: 0843.65076
DOI: 10.1007/BF03167240
author: V. Girault
author: Roland Glowinski
published in: Japan Journal of Industrial and Applied Mathematics
publication date: 1996-05-09T00:00:00Z
review text: The purpose of this paper is to derive error estimates of a fictitious domain method with a Lagrange multiplier. The main goal is the proof of a uniform discrete inf-sup conditon via the construction of a suitable restriction operator. The nonlinear analysis is presented in the simplified case where the boundary is a polygon. This study is applied to solve a non-homogeneous elliptic Dirichlet problem with conforming finite elements of degree one on a regular grid.
reviewed by: N. F. F. Ebecken
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 852113
zbMATH Keywords: error estimates
zbMATH Keywords: fictitious domain method
zbMATH Keywords: Lagrange multiplier
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: conforming finite elements
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 852113