Polynomial basis functions for curved elements using hyperbolas (Q914324)
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scientific article; zbMATH DE number 4149439
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Polynomial basis functions for curved elements using hyperbolas |
scientific article; zbMATH DE number 4149439 |
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Polynomial basis functions for curved elements using hyperbolas (English)
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1990
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The authors try to construct a polynomial second order basis for the three sided two-dimensional finite elements with one curved side. The idea is to approximate the curved side by an arc of hyperbola. The constructed basis is used to calculate approximate solutions for the Dirichlet problem of the Laplace equation over the unit disk. The work offers an idea that could be more profoundly analyzed.
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curved elements
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polynomial second order basis
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finite elements
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Dirichlet problem
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Laplace equation
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