Error analysis of a fictitious domain method applied to a Dirichlet problem (Q1908888)
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scientific article; zbMATH DE number 852113
| Language | Label | Description | Also known as |
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| English | Error analysis of a fictitious domain method applied to a Dirichlet problem |
scientific article; zbMATH DE number 852113 |
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Error analysis of a fictitious domain method applied to a Dirichlet problem (English)
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9 May 1996
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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.
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error estimates
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fictitious domain method
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Lagrange multiplier
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Dirichlet problem
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conforming finite elements
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