\(L^{2}\) error estimates and superconvergence of the finite volume element methods on quadrilateral meshes (Q695645)
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scientific article; zbMATH DE number 6117986
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L^{2}\) error estimates and superconvergence of the finite volume element methods on quadrilateral meshes |
scientific article; zbMATH DE number 6117986 |
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\(L^{2}\) error estimates and superconvergence of the finite volume element methods on quadrilateral meshes (English)
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21 December 2012
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The authors consider the finite volume element methods on quadrilateral mesh for second-order elliptic equation with variable coefficients. An error estimate in \(L^{2}\) norm is shown on the quadrilateral meshes consisting of \(h^{2}\)-parallelograms. Superconvergence of numerical solution is also derived in an average gradient norm on \(h^{2}\)-uniform quadrilateral meshes. Numerical examples supporting the theoretical results are presented.
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\(L^{2}\) error estimates
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superconvergence
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finite volume element methods
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quadrilateral meshes
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