Wavelet and finite element solutions for the Neumann problem using fictitious domains (Q1917107)
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scientific article; zbMATH DE number 896661
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Wavelet and finite element solutions for the Neumann problem using fictitious domains |
scientific article; zbMATH DE number 896661 |
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Wavelet and finite element solutions for the Neumann problem using fictitious domains (English)
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5 December 1996
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This paper considers the Neumann problem in 2 dimensions as a classical test case for any elliptic solver. The method used is a fictitious domain method where the actual domain is embedded in a \(D\)-dimensional box. With this scheme periodic boundary conditions are used in the fictitious domain, for which standard methods exist. Some theoretical error analysis and numerical examples are given.
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wavelets
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Neumann problem
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fictitious domain method
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periodic boundary conditions
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error analysis
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numerical examples
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