Singularly perturbed finite element methods (Q1060825)
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scientific article; zbMATH DE number 3909669
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Singularly perturbed finite element methods |
scientific article; zbMATH DE number 3909669 |
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Singularly perturbed finite element methods (English)
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1984
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The paper deals with the approximation of singularly perturbed ordinary differential equations by new piecewise linear finite elements (hinged elements). The purpose of introducing one or more hinges into a standard element is to allow the element to modify itself as the perturbation parameter \(\epsilon\) changes. As a result, pointwise and global error estimates (independent of \(\epsilon)\) are presented.
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piecewise linear finite elements
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hinged elements
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perturbation parameter
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pointwise and global error estimates
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