A new approach to analyticity of Dirichlet-Neumann operators (Q2784206)
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scientific article; zbMATH DE number 1731205
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new approach to analyticity of Dirichlet-Neumann operators |
scientific article; zbMATH DE number 1731205 |
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A new approach to analyticity of Dirichlet-Neumann operators (English)
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20 August 2003
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Dirichlet-Neumann operator
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simple geometry
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numerical simulation
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The authors develop the theoretical background of a new approach towards an accurate and well-conditioned perturbative calculation of Dirichlet-Neumann operators (DNO) on domains that are perturbations of simple geometries. As a byproduct, they produce a novel proof of analyticity of DNOs associated with Laplace's equation upon boundary perturbations. The authors indicate possible numerical implications of the obtained results.
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