An \(h\)-adaptive SUPG-FEM solution of the pure advection equation (Q1379038)
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scientific article; zbMATH DE number 1115965
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An \(h\)-adaptive SUPG-FEM solution of the pure advection equation |
scientific article; zbMATH DE number 1115965 |
Statements
An \(h\)-adaptive SUPG-FEM solution of the pure advection equation (English)
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27 September 1998
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A standard \(h\)-adaptive finite element procedure based on a posteriori error estimation is described. The first-order wave equation (pure advection) is solved using the SUPG form of the finite element method (FEM). A benchmark problem is solved which has a uniform flow advecting a function with a boundary discontinuity. The \(h\)-adaptive procedure is used in combination with the SUPG formulation and after a number of adaptive cycles produces a high quality solution.
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pure advection equation
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streamline upwind Petrov Galerkin method
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\(h\)-version
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error estimation
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wave equation
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finite element method
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0.91328955
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0.9118348
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0.90450233
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0.89471745
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0.89144695
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0.8902736
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0.8880136
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