A particle-partition of unity method. II: Efficient cover construction and reliable integration (Q2780597)
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scientific article; zbMATH DE number 1729209
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A particle-partition of unity method. II: Efficient cover construction and reliable integration |
scientific article; zbMATH DE number 1729209 |
Statements
15 April 2002
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meshfree method
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partition of unity
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Galerkin discretization
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convergence
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numerical examples
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meshless partition of unity method
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convection-diffusion equation
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A particle-partition of unity method. II: Efficient cover construction and reliable integration (English)
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This work is a sequel to the authors' paper [ibid. 22, No.~3, 853-890 (2000; Zbl 0974.65090)] where they introduced the implementation of a meshless partition of unity method for convection diffusion equation. In the present paper the cover construction and its interplay with the numerical integration problems in a Galerkin framework is treated in some detail. A hierarchical cover construction is advocated to increase the overall complexity of the method.
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