Meshless Galerkin algorithms for boundary integral equations with moving least square approximations (Q651084)
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scientific article; zbMATH DE number 5987758
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Meshless Galerkin algorithms for boundary integral equations with moving least square approximations |
scientific article; zbMATH DE number 5987758 |
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Meshless Galerkin algorithms for boundary integral equations with moving least square approximations (English)
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8 December 2011
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Firstly, the author provides some error estimates which refer to moving least square approximation in two dimension for nodes and weights satisfying some restrictions. Then, he combines this approximation with a weak formulation of an integral equation of the first kind in order to obtain a Galerkin boundary node method. Some asymptotic error estimates corresponding to this method are reported and a Dirichlet boundary value problem for the Laplace equation is solved.
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meshless
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moving least square approximation
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first kind integral equation
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Galerkin boundary node method
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error estimates
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Dirichlet boundary value problem
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Laplace equation
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