The method of finite spheres (Q1567379)
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scientific article; zbMATH DE number 1455722
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The method of finite spheres |
scientific article; zbMATH DE number 1455722 |
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The method of finite spheres (English)
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15 January 2001
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Steady-state elliptic boundary-value problems for ordinary or partial differential equations are solved numerically by the method of finite spheres, viewed as a special case of meshless local Petrov-Galerkin procedure. Special emphasis is payed to a numerical integration scheme, the way in which the Dirichlet boundary conditions are incorporated, and the treatment of doubly-connected domains. The illustrative one- and two-dimensional examples include a string with distributed loading, a high Peclet number flow problem, Poisson's equation, and the linear elasticity.
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meshless approximation
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numerical examples
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method of finite spheres
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local Petrov-Galerkin procedure
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high Peclet number flow problem, Poisson's equation
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linear elasticity
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