Interactions between moderately close inclusions for the two-dimensional Dirichlet-Laplacian (Q2800164)
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scientific article; zbMATH DE number 6569160
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Interactions between moderately close inclusions for the two-dimensional Dirichlet-Laplacian |
scientific article; zbMATH DE number 6569160 |
Statements
15 April 2016
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Poisson equation
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Dirichlet problem
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perforated domain
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conformal mapping
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asymptotic expansion
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0.94144976
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0.9061618
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0.89294493
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0.87840515
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0.86702734
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0.85899556
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0.85509956
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0.8545247
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0.8499038
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Interactions between moderately close inclusions for the two-dimensional Dirichlet-Laplacian (English)
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The authors study the Dirichlet problem for the Poisson equation in two-dimensional domains with a finite number of inclusions (holes, cracks) of the characteristic size \(\varepsilon\to 0\). They determine the asymptotic expansion of solutions using complex analytic tools. The correctors to the solution built in this paper are numerically computable.
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