An adaptable discontinuous Galerkin scheme for the Wigner-Fokker-Planck equation (Q1049720)
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scientific article; zbMATH DE number 5657332
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An adaptable discontinuous Galerkin scheme for the Wigner-Fokker-Planck equation |
scientific article; zbMATH DE number 5657332 |
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An adaptable discontinuous Galerkin scheme for the Wigner-Fokker-Planck equation (English)
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13 January 2010
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The authors propose a discontinuous Galerkin (DG) scheme for the Wigner-Fokker-Planck (WFP) equation with a general potential. Estimates showing convergence and stability of the scheme are provided. The scheme is adaptive and may use both polynomial and non-polynomial basis functions. The DG approach proposed in this paper provides several opportunities to optimize the approximation space.
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Wigner-Fokker-Planck equation
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discontinuous Galerkin method
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Quantum Fokker-Planck operator
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pseudo-differential operator
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adaptive method
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convergence
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stability
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