A Petrov-Galerkin finite element method for convection-dominated flows: An accurate upwinding technique for satisfying the maximum principle (Q759597)
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scientific article; zbMATH DE number 3882104
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Petrov-Galerkin finite element method for convection-dominated flows: An accurate upwinding technique for satisfying the maximum principle |
scientific article; zbMATH DE number 3882104 |
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A Petrov-Galerkin finite element method for convection-dominated flows: An accurate upwinding technique for satisfying the maximum principle (English)
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1985
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In this paper we present a new Petrov-Galerkin method for convection- dominated flow problems which is conservative and satisfies the discrete maximum principle. This method also possesses no spurious crosswind diffusion and gives very accurate solutions. The method is representative of a class of methods which may be described as 'fixed-mesh adaptive'.
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discrete maximum principle
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optimal upwind/Petrov-Galerkin method
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0.9342065
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0.9026536
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0.8943313
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0.89205205
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0.8913584
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