A low order nonconforming anisotropic finite element approximation to parabolic problem (Q968001)
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scientific article; zbMATH DE number 5703318
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A low order nonconforming anisotropic finite element approximation to parabolic problem |
scientific article; zbMATH DE number 5703318 |
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A low order nonconforming anisotropic finite element approximation to parabolic problem (English)
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3 May 2010
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The purpose of this paper is to study the nonconforming anisotropic finite element approximation for a classical parabolic problem. Both semidiscrete and fully discrete schemes are studied. First, a five nodal element is constructed and its anisotropic interpolation property is verified. Then, the nonconforming element is used in order to obtain superclosed properties for the semidiscrete form and for the fully discrete scheme. Finally, the superconvergence of the semidiscrete scheme is obtained.
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parabolic problem
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nonconforming anisotropic finite element approximation
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semidiscrete scheme
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fully discrete scheme
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superconvergence
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0.9031963
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0.89874744
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0.8979826
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0.89660764
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