A posteriori error estimates of the discontinuous Galerkin method for the heat conduction equation (Q2837297)
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scientific article; zbMATH DE number 6186454
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A posteriori error estimates of the discontinuous Galerkin method for the heat conduction equation |
scientific article; zbMATH DE number 6186454 |
Statements
10 July 2013
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heat diffusion
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discontinuous Galerkin finite element method
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Helmholtz decomposition
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Oswald interpolation operator
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Euler backward scheme
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a residual based a posteriori upper error bound
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A posteriori error estimates of the discontinuous Galerkin method for the heat conduction equation (English)
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The authors develop a numerical solution of the transient heat conduction with heat source under mixed Dirichlet/Neumann boundary conditions. The discontinuous Galerkin method is used to discretize the space and the backward Euler method is used to dicretize the time domain. Some theorems and lemmas are proved to derive a posteriori error estimates. No example is presented to demonstrate the applicability of the method.
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