\(h\)- and \(p\)-adaptive boundary element methods (Q1803724)
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scientific article; zbMATH DE number 221756
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(h\)- and \(p\)-adaptive boundary element methods |
scientific article; zbMATH DE number 221756 |
Statements
\(h\)- and \(p\)-adaptive boundary element methods (English)
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29 June 1993
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For 2-D potential and elasticity problems described by an boundary integral equation adaptive boundary element methods are proposed. Based on approximation theory, an a posteriori error estimate for the boundary element solution is developed. Both \(h\)-version and \(p\)-version of the estimate are studied. Linear elements are used in the \(h\)-version, on the other hand, hierarchical shape functions are employed for the implementation of the \(p\)-version. A number of numerical examples is given, demonstrating the success of the techniques developed in the paper.
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potential problem
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elasticity problems
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boundary integral equation
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error estimate
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\(h\)-version
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\(p\)-version
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hierarchical shape functions
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numerical examples
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adaptive boundary element methods
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