Integral equation methods for scattering from an impedance crack. (Q1412823)
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scientific article; zbMATH DE number 2009275
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integral equation methods for scattering from an impedance crack. |
scientific article; zbMATH DE number 2009275 |
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Integral equation methods for scattering from an impedance crack. (English)
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25 November 2003
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The authors investigate the uniqueness and existence for the scattering problem for time-harmonic waves from an impedance crack in two dimensions. They combine a single and double layer potential approach in a Hölder space setting leading to a system of integral equations that contains a hypersingular operator. Its numerical solution via a fully discrete collocation method based on trigonometric and interpolatory quadrature rules is investigated.
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Helmholtz equation
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Impedance crack
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Collocation method
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Integral equation methods
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single layer method
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double layer method
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quadrature method
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scattering
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hypersingular operator
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