Implicit--explicit time stepping with spatial discontinuous finite elements (Q1874217)
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scientific article; zbMATH DE number 1915292
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Implicit--explicit time stepping with spatial discontinuous finite elements |
scientific article; zbMATH DE number 1915292 |
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Implicit--explicit time stepping with spatial discontinuous finite elements (English)
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22 May 2003
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This paper considers approximation of the solution of convection-reaction equations in one spatial dimension by means of a combination of: -- discontinuous, piecewise linear finite elements; -- backward differentiation formula 2 implicit-explicit time stepping; low order quadrature rules. A careful study of convergence is developed and special attention is brought to accuracy and stability. Theoretical results are nicely illustrated by pertinent numerical simulations.
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initial-boundary value problems
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discontinuous Galerkin
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finite-elements methods
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implicit-explicit methods
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convection-reaction equations
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numerical examples
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convergence
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stability
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