Error Bounds for a Fictitious Domain Method with Lagrange Multiplier Treatment on the Boundary for a Dirichlet Problem

In this article we obtain discrete inf-sup conditions and error bounds for a fictitious domain with Lagrange multiplier treatment for the boundary condition on the curved boundary to an elliptic Dirichlet problem with conforming finite elements of degree one on a uniform mesh.[PUBLICATION ABSTRACT]

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Bibliographic Details
Published in:	Japan journal of industrial and applied mathematics Vol. 15; no. 1; pp. 75 - 85
Main Author:	Pan, Tsorng-Whay
Format:	Journal Article
Language:	English
Published:	Heidelberg Springer Nature B.V 01.02.1998
Subjects:	Dirichlet problem fictitious domain method finite element Finite element analysis inf-sup condition Lagrange multiplier Studies
ISSN:	0916-7005, 1868-937X
Online Access:	Get full text
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Summary:	In this article we obtain discrete inf-sup conditions and error bounds for a fictitious domain with Lagrange multiplier treatment for the boundary condition on the curved boundary to an elliptic Dirichlet problem with conforming finite elements of degree one on a uniform mesh.[PUBLICATION ABSTRACT]
Bibliography:	SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14
ISSN:	0916-7005 1868-937X
DOI:	10.1007/BF03167397