A uniformly convergent difference scheme for the singular perturbation of a self adjoint elliptic partial differential equation (Q579877)
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scientific article; zbMATH DE number 4016098
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A uniformly convergent difference scheme for the singular perturbation of a self adjoint elliptic partial differential equation |
scientific article; zbMATH DE number 4016098 |
Statements
A uniformly convergent difference scheme for the singular perturbation of a self adjoint elliptic partial differential equation (English)
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1986
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A fitted finite-difference scheme is constructed for the singularly perturbed problem given by \(-\epsilon \Delta u+b(x,y)u=f(x,y),\) (x,y)\(\in R\), and the homogeneous Dirichlet condition. Here R denotes a rectangular region. For the particular case of constant b maximum norm error bounds are derived which are uniform in \(\epsilon\).
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convergence
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fitted finite-difference scheme
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singularly perturbed problem
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maximum norm error bounds
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