Effect of numerical integration for elliptic obstacle problems (Q1330387)
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scientific article; zbMATH DE number 606970
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Effect of numerical integration for elliptic obstacle problems |
scientific article; zbMATH DE number 606970 |
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Effect of numerical integration for elliptic obstacle problems (English)
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17 November 1994
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An elliptic obstacle problem is approximated by piecewise linear finite elements with numerical integration on the penalty and forcing terms. This leads to diagonal nonlinearities and thereby to a practical scheme. Optimal error estimates in the maximum norm are derived. The proof is based on constructing suitable super and subsolutions that exploit the special structure of the penalization, and using quite precise pointwise error estimates for an associated linear elliptic problem with quadrature via the discrete maximum principle.
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effect of numerical integration
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optimal error estimates
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penalty
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elliptic obstacle problem
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finite elements
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discrete maximum principle
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