The Costabel-Stephan system of boundary integral equations in the time domain (Q2814443)
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scientific article; zbMATH DE number 6596190
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Costabel-Stephan system of boundary integral equations in the time domain |
scientific article; zbMATH DE number 6596190 |
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The Costabel-Stephan system of boundary integral equations in the time domain (English)
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22 June 2016
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transmission problem
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boundary integral equations
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transient acoustic wave equation
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Galerkin semidiscretization in space
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convolution quadrature in time
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numerical result
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The transmission problem for the transient wave equation arising in acoustics is formulated as a system of retarded boundary integral equations. The authors analyze a fully discrete method where they use a general Galerkin semidiscretization in space and a convolution quadrature in time. The proofs are based on the theory of evolution equations. Additionally, some numerical results for both smooth and non-smooth scatterer are given.
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