Energy stable flux reconstruction schemes for advection-diffusion problems on tetrahedra (Q461263)
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scientific article; zbMATH DE number 6353587
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Energy stable flux reconstruction schemes for advection-diffusion problems on tetrahedra |
scientific article; zbMATH DE number 6353587 |
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Energy stable flux reconstruction schemes for advection-diffusion problems on tetrahedra (English)
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10 October 2014
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The authors propose and justify a new class of energy stable flux reconstruction (FR) schemes for 3D advection-diffusion problems on tetrahedral elements. These schemes refered to as VCJH (Vincent-Catonguay-Jameson-Huynh) schemes use a specific corrections of the solution and the flux to arrive at stable approximations (provably stable for linear advection-diffusion problems in 1D on triangular elements). Theoretical considerations are supported by numerical experiments on model problems.
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advection-diffusion problems
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flux reconstruction schemes
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tetraedra
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discontinuous Galerkin scheme
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stability
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numerical experiment
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