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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Vydáno v:Japan journal of industrial and applied mathematics Ročník 15; číslo 1; s. 75 - 85
Hlavní autor: Pan, Tsorng-Whay
Médium: Journal Article
Jazyk:angličtina
Vydáno: Heidelberg Springer Nature B.V 01.02.1998
Témata:
Dirichlet problem
fictitious domain method
finite element
Finite element analysis
inf-sup condition
Lagrange multiplier
Studies
ISSN:0916-7005, 1868-937X
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Shrnutí: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]
Bibliografie:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ISSN:0916-7005
1868-937X
DOI:10.1007/BF03167397