Some mixed finite element methods on anisotropic meshes (Q2781518)
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scientific article; zbMATH DE number 1721519
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some mixed finite element methods on anisotropic meshes |
scientific article; zbMATH DE number 1721519 |
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Some mixed finite element methods on anisotropic meshes (English)
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20 March 2002
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Laplace equation
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mixed finite element methods
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anisotropic meshes
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error estimates
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The paper deals with some mixed finite element methods on a class of anisotropic meshes based on tetrahedra and prismatic (pentahedral) elements. Anisotropic local interpolation error estimates are derived in some anisotropic weighted Sobolev spaces. As particular applications, the numerical approximation by mixed methods of the Laplace equation in domains with edges is investigated where anisotropic finite element meshes are appropriate. Optimal error estimates are obtained using some anisotropic regularity results of the solutions.
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