Linearity-preserving flux correction and convergence acceleration for constrained Galerkin schemes (Q765281)
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scientific article; zbMATH DE number 6015747
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linearity-preserving flux correction and convergence acceleration for constrained Galerkin schemes |
scientific article; zbMATH DE number 6015747 |
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Linearity-preserving flux correction and convergence acceleration for constrained Galerkin schemes (English)
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19 March 2012
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This paper is concerned with a flux correction scheme for a continuous (linear and multilinear finite element method. This new method relies on a modified Galerkin discrretization of a scalar transport equation by adding diffusive and antidiffusive fluxes. This brings a nonlinear algebraic system satisfying the discrete version of the maximum principle which is solved by means of fixed point defect correction. Various numerical computations are presented that support the theoretical findings.
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Transport equations
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flux correction
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convergence acceleration
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linearity preservation
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slope limiting
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Anderson acceleration
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finite element method
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Galerkin discrretization
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maximum principle
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