A posteriori error estimation and adaptivity in the method of lines with mixed finite elements. (Q1775172)
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scientific article; zbMATH DE number 2165529
| Language | Label | Description | Also known as |
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| English | A posteriori error estimation and adaptivity in the method of lines with mixed finite elements. |
scientific article; zbMATH DE number 2165529 |
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A posteriori error estimation and adaptivity in the method of lines with mixed finite elements. (English)
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4 May 2005
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The method of lines for a linear parabolic initial-boundary value problem is examined. A semi-discretization in space is done by a mixed finite element method. Then the author considers a fully adaptive time-stepping based on the Euler backward method. Some superconvergence results known for elliptic problems are applied to the semi-discrete scheme to obtain an a posteriori error estimate. Numerical experiments are included.
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superconvergence
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method of lines
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mixed finite elements
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a posteriori error estimation
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adaptive time-stepping
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adaptive refinement
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