\(L^p\) error estimates of two-grid schemes of expanded mixed finite element methods (Q1008579)
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scientific article; zbMATH DE number 5534854
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L^p\) error estimates of two-grid schemes of expanded mixed finite element methods |
scientific article; zbMATH DE number 5534854 |
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\(L^p\) error estimates of two-grid schemes of expanded mixed finite element methods (English)
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30 March 2009
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This paper contains an analysis of a two-grid finite-element method for a semilinear reaction-diffusion equation. A supplementary variable is introduced to handle the nonlinear diffusion coefficient. On the fine grid the nonlinearity of the source term is treated by linearization about the course-grid solution. Error bounds are proved.
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two-grid scheme
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finite elements
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error bound
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semilinear reaction-diffusion equation
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0.9301062
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0.92057633
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0.9188131
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0.91770715
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0.91554594
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0.9114986
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0.90822196
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0.90717804
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