Is the one-equation coupling of finite and boundary element methods always stable? (Q2863158)
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scientific article; zbMATH DE number 6231615
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Is the one-equation coupling of finite and boundary element methods always stable? |
scientific article; zbMATH DE number 6231615 |
Statements
Is the one-equation coupling of finite and boundary element methods always stable? (English)
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21 November 2013
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finite elements
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boundary elements
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non-symmetric coupling
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free space transmission problem
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double layer integral operator
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numerical example
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A coupling of finite element and boundary element methods is considered to solve a scalar free space transmission problem. The paper presents a sufficient and necessary condition to ensure the ellipticity of the bilinear form. This condition relates the minimal eigenvalue of the coefficient matrix in the bounded interior domain to the contraction constant of the shifted double layer integral operator reflecting the shape of the interface. Numerical examples are presented to support the theoretical results.
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