Local error estimates and adaptive refinement for first-order system least squares (FOSLS) (Q1381052)
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scientific article; zbMATH DE number 1128750
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local error estimates and adaptive refinement for first-order system least squares (FOSLS) |
scientific article; zbMATH DE number 1128750 |
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Local error estimates and adaptive refinement for first-order system least squares (FOSLS) (English)
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15 March 1998
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This paper deals with the FOSLS methodology. The authors establish the theory for such a local a posteriori error estimate using only results from standard FOSLS theory in a general setting and prove that any FOSLS \(L^2\)-functional can be used as a local a posteriori estimate for error in the norm that it induces. Next, they show how the FOSLS functional can be used to obtain a local a priori lower error bound. Some numerical examples to support the theoretical results are presented.
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adaptive refinement
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first-order system least squares
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error bound
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numerical examples
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