A global uniformly convergent finite element method for a quasi-linear singularly perturbed elliptic problem (Q1963133)
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scientific article; zbMATH DE number 1391658
| Language | Label | Description | Also known as |
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| English | A global uniformly convergent finite element method for a quasi-linear singularly perturbed elliptic problem |
scientific article; zbMATH DE number 1391658 |
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A global uniformly convergent finite element method for a quasi-linear singularly perturbed elliptic problem (English)
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20 January 2000
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The authors construct a bilinear finite element method based on a special piecewise uniform mesh in order to solve a quasilinear singularly perturbed elliptic boundary value problem in two-space dimensions. They obtain a quasi-optimal global uniform convergence rate which is independent with regard to the perturbation parameter. In fact, they generalize their older results concerning linear cases.
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finite element method
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singular perturbation
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uniform convergence
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quasilinear
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