Discontinuous Galerkin finite element method for parabolic problems (Q861119)
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scientific article; zbMATH DE number 5083693
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Discontinuous Galerkin finite element method for parabolic problems |
scientific article; zbMATH DE number 5083693 |
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Discontinuous Galerkin finite element method for parabolic problems (English)
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9 January 2007
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The authors develop a time and its corresponding spatial discretization scheme, based upon the assumption of a certain weak singularity of \(| | u_t(t)| | _{L_2(\Omega)}=| | u_t| | _2\), for the discontinuous Galerkin finite element method for one-dimensional parabolic problems. They give optimal convergence rates in both time and spatial variables.
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parabolic equations
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discontinuous Galerkin finite element method
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convergence
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0.9592297
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0.95518637
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0.95323145
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0.95287406
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0.9517312
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