Quadratic finite-volume methods for elliptic and parabolic problems on quadrilateral meshes: optimal-order errors based on Barlow points (Q2856624)
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scientific article; zbMATH DE number 6220957
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quadratic finite-volume methods for elliptic and parabolic problems on quadrilateral meshes: optimal-order errors based on Barlow points |
scientific article; zbMATH DE number 6220957 |
Statements
Quadratic finite-volume methods for elliptic and parabolic problems on quadrilateral meshes: optimal-order errors based on Barlow points (English)
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30 October 2013
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Barlow points
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error estimation
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elliptic boundary value problems
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finite volume element methods
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parabolic equations
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quadrilateral meshes
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numerical examples
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This paper deals with the finite volume methods for elliptic and parabolic problems on a family of quadrilateral meshes. The authors utilize Bralow points for constructing dual volumes and developing quadratic finite volume methods. To derive optimal-order error estimates in the \(H^1\)- and \(L^2\)-norms for parabolic problems, a symmetrization technique is used. Two numerical examples are presented.
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