On the convergence on nonrectangular grids (Q1375454)
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scientific article; zbMATH DE number 1100618
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the convergence on nonrectangular grids |
scientific article; zbMATH DE number 1100618 |
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On the convergence on nonrectangular grids (English)
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28 January 1998
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The goal of the paper is to study the convergence properties of the full discrete approximations to the solution of a 1D convection-diffusion problem. A finite difference scheme is defined on a nonrectangular temporal-spatial grid and is of Lagrangian type -- Euler implicit on time and centered finite difference on space. A stability inequality is derived and by its help convergence of the fully discrete scheme is proved under some smoothness conditions imposed on the spatial-temporal grids.
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convection-diffusion problem
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nonrectangular grids
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moving grid methods
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convergence
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finite difference scheme
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stability
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