A mixed-type finite element approximation for radiation problems using fictitious domain method (Q1872962)
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scientific article; zbMATH DE number 1912280
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A mixed-type finite element approximation for radiation problems using fictitious domain method |
scientific article; zbMATH DE number 1912280 |
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A mixed-type finite element approximation for radiation problems using fictitious domain method (English)
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19 May 2003
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This paper analyzes an approximation of a two-dimensional exterior Helmholtz problem. The approach combines: -- a mixed-type finite element approximation, -- with a fictitious domain method. The authors develop a careful study of the convergence of the solution and compare the performance with more classical approximation methods. Finally, some numerical examples illustrate the efficiency of this new methodology.
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radiation
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non-local operator
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DtN mapping
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artificial boundary condition
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Helmholtz equation
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comparison of methods
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mixed-type finite element
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fictitious domain method
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convergence
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numerical examples
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0.8955385
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0.8930081
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0.86960137
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0.86342067
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0.86261976
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