Finite element approximation of elliptic problems with Dirac measure terms in weighted spaces: applications to one- and three-dimensional coupled problems (Q2882339)
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scientific article; zbMATH DE number 6030211
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite element approximation of elliptic problems with Dirac measure terms in weighted spaces: applications to one- and three-dimensional coupled problems |
scientific article; zbMATH DE number 6030211 |
Statements
4 May 2012
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elliptic problems
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Dirac measure
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weighted spaces
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finite element method
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graded mesh
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error estimates
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reduced models
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multiscale models
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microcirculation
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stability
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convergence
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fluid flow in porous media
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0.9030942
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0.8754475
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0.8738532
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0.8722161
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0.87174106
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0.8716758
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Finite element approximation of elliptic problems with Dirac measure terms in weighted spaces: applications to one- and three-dimensional coupled problems (English)
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This paper deals with the stability and the convergence rates of the finite element approximation of elliptic problems involving Dirac measures. In order to verify the theoretical estimates the author searches the standard finite element solution on uniform and graded meshes and reported the errors in different weighted norms. Also an approach to apply the theoretical results to certain coupled problems involving fluid flow in porous three-dimensional media with one-dimensional fractures is presented.
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