Convergence analysis of the high-order mimetic finite difference method (Q841122)
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scientific article; zbMATH DE number 5603872
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence analysis of the high-order mimetic finite difference method |
scientific article; zbMATH DE number 5603872 |
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Convergence analysis of the high-order mimetic finite difference method (English)
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14 September 2009
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The paper deals with the numerical solution of a second order elliptic problem with the aid of the mimetic finite difference (MFD) method. The elliptic operator has to be strongly elliptic. The author proves a priori error estimates, namely the second order of convergence of the conservative variable and its flux. Moreover, a new family of MFD methods is developed for non-constant coefficients of the elliptic operator. Finally, numerical examples verifying the theoretical results are presented.
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mimetic finite difference method
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convergence
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second order elliptic problem
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a priori error estimates
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numerical examples
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