Numerical integration for high-order pyramidal finite elements (Q2846145)
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scientific article; zbMATH DE number 6205755
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical integration for high-order pyramidal finite elements |
scientific article; zbMATH DE number 6205755 |
Statements
5 September 2013
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higher-order conforming pyramidal finite element methods
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quadrature rule
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convergence
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consistency
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discrete de Rham complex
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Numerical integration for high-order pyramidal finite elements (English)
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This paper is concerned with the study of the accuracy of higher-order conforming pyramidal finite element methods. More precisely, the authors prove that an \(n\)th-order quadrature rule can be used for the integration of bilinear forms involving \(n\)th-order elements without decreasing the overall order of convergence of the method. A unified analysis of the consistency error due to using these quadrature rules for each of the approximation spaces of the discrete de Rham complex is presented.
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