Convergence of meshless Petrov-Galerkin method using radial basis functions (Q864773)
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scientific article; zbMATH DE number 5125222
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of meshless Petrov-Galerkin method using radial basis functions |
scientific article; zbMATH DE number 5125222 |
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Convergence of meshless Petrov-Galerkin method using radial basis functions (English)
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13 February 2007
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A new meshless Petrov-Galerkin method is introduced and it is shown that under certain assumptions, the result obtained using this method combined with radial basis functions converges to the solution of partial differential equations gradually [cf. \textit{H. Wendland}, Math. Comput. 68, No. 228, 1521--1531 (1999; Zbl 1020.65084)]. The theoretical analysis and numerical results presented here indicate the efficiency and accuracy of the method.
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convergence
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numerical results
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