Analysis of asymptotic preserving DG-IMEX schemes for linear kinetic transport equations in a diffusive scaling (Q2927845)
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scientific article; zbMATH DE number 6365792
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analysis of asymptotic preserving DG-IMEX schemes for linear kinetic transport equations in a diffusive scaling |
scientific article; zbMATH DE number 6365792 |
Statements
4 November 2014
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kinetic transport equations
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asymptotic preserving
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high-order discontinuous Galerking method
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stability
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error estimate
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telegraph equation
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one-group transport equation
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slab geometry
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0.93556523
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0.9309235
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0.9296976
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0.90974224
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0.8922947
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0.8855805
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0.8842584
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0.8840103
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Analysis of asymptotic preserving DG-IMEX schemes for linear kinetic transport equations in a diffusive scaling (English)
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The paper deals with a family of linear kinetic transport equations which comprises the telegraph equation and the one-group transport equation in slab geometry as special cases. Various theoretical results are stated on stability analysis, local truncation errors and error equations, and the rigorous asymptotic analysis which is established. The key is the use of the asymptotic preserving discontinuous Galerkin implicit-explicit scheme (DG-IMEX), recently proposed by one of the authors. The paper deals with one-dimensional systems because the calculations are lengthy, but the methods and techniques apply directly to multidimensional systems.
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