Error estimates using the cell discretization method for some parabolic problems (Q1919399)
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scientific article; zbMATH DE number 908346
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Error estimates using the cell discretization method for some parabolic problems |
scientific article; zbMATH DE number 908346 |
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Error estimates using the cell discretization method for some parabolic problems (English)
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11 February 1997
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The cell discretization method is used to approximate solutions to parabolic problems with coefficients independent of time. Error estimates are obtained showing general convergence for homogeneous problems. A polynomial implementation of the algorithm is described. It can be viewed as a nonconforming extension of the finite element method that can also produce the continuous approximations of an \(h-p\) finite element method. Numerical tests confirming the theoretical estimates are discussed.
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primal hybrid method
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numerical examples
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error estimates
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\(h-p\) finite element method
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cell discretization method
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convergence
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algorithm
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