Examination of the finite-element method in the model problem of a crack (Q1082896)
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scientific article; zbMATH DE number 3974465
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Examination of the finite-element method in the model problem of a crack |
scientific article; zbMATH DE number 3974465 |
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Examination of the finite-element method in the model problem of a crack (English)
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1985
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The author examines the accuracy of the finite-element method on triangular elements with six nodes and quadratic basis functions, using the example of the model problem of a crack. Asymptotic expansions of the solution are constructed with respect to various types of nodes, and it is shown that the accuracy of the method is O(h/\(\sqrt{r})\), where r is the distance from the vertex of the crack.
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Laplace equation
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continuous solution
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accuracy
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triangular elements
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six nodes
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quadratic basis functions
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