A discontinuous Galerkin method for the Wigner-Fokker-Planck equation with a non-polynomial approximation space

PAMM ◽

10.1002/pamm.200700738 ◽

2007 ◽

Vol 7 (1) ◽

pp. 2020105-2020106

Author(s):

Richard Sharp ◽

Maria Pia Gualdani ◽

Irene Gamba

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Polynomial Approximation ◽

Planck Equation ◽

Approximation Space ◽

Fokker Planck Equation ◽

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A discontinuous Galerkin method for the mono-energetic Fokker–Planck equation based on a spherical interior penalty formulation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.08.019 ◽

2018 ◽

Vol 330 ◽

pp. 253-267 ◽

Author(s):

Aldo Hennink ◽

Danny Lathouwers

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Planck Equation ◽

Interior Penalty ◽

Penalty Formulation ◽

Fokker Planck Equation ◽

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On a numerical investigation of the time fractional Fokker– Planck equation via local discontinuous Galerkin method

International Journal of Computer Mathematics ◽

10.1080/00207160.2016.1247442 ◽

2016 ◽

Vol 94 (9) ◽

pp. 1916-1942 ◽

Author(s):

Jafar Eshaghi ◽

Hojatollah Adibi ◽

Saeed Kazem

Keyword(s):

Galerkin Method ◽

Numerical Investigation ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Planck Equation ◽

Local Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin ◽

Fokker Planck Equation ◽

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A Time-Discontinuous Galerkin Approach for the Numerical Solution of the Fokker-Planck Equation

Recent Developments and Innovative Applications in Computational Mechanics ◽

10.1007/978-3-642-17484-1_35 ◽

2011 ◽

pp. 311-319

Author(s):

Udo Nackenhorst ◽

Friederike Loerke

Keyword(s):

Numerical Solution ◽

Discontinuous Galerkin ◽

Planck Equation ◽

Galerkin Approach ◽

Fokker Planck Equation ◽

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Investigations on the numerical solution of the Fokker-Planck equation with discontinuous Galerkin Methods

PAMM ◽

10.1002/pamm.201110156 ◽

2011 ◽

Vol 11 (1) ◽

pp. 329-330

Author(s):

Friederike Loerke ◽

Udo Nackenhorst

Keyword(s):

Numerical Solution ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Planck Equation ◽

Galerkin Methods ◽

Fokker Planck Equation ◽

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The numerical solution of Fokker–Planck equation with radial basis functions (RBFs) based on the meshless technique of Kansa׳s approach and Galerkin method

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2014.05.004 ◽

2014 ◽

Vol 47 ◽

pp. 38-63 ◽

Author(s):

Mehdi Dehghan ◽

Vahid Mohammadi

Keyword(s):

Galerkin Method ◽

Numerical Solution ◽

Radial Basis Functions ◽

Planck Equation ◽

Basis Functions ◽

Fokker Planck Equation ◽

Radial Basis ◽

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Discontinuous Galerkin method based on non-polynomial approximation spaces

Journal of Computational Physics ◽

10.1016/j.jcp.2006.02.013 ◽

2006 ◽

Vol 218 (1) ◽

pp. 295-323 ◽

Author(s):

Ling Yuan ◽

Chi-Wang Shu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Polynomial Approximation ◽

Approximation Spaces

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An adaptable discontinuous Galerkin scheme for the Wigner-Fokker-Planck equation

Communications in Mathematical Sciences ◽

10.4310/cms.2009.v7.n3.a7 ◽

2009 ◽

Vol 7 (3) ◽

pp. 635-664 ◽

Author(s):

Irene Gamba ◽

Maria Pia Gualdani ◽

Richard W. Sharp

Keyword(s):

Discontinuous Galerkin ◽

Planck Equation ◽

Galerkin Scheme ◽

Discontinuous Galerkin Scheme ◽

Fokker Planck Equation ◽

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The Entropy Satisfying Discontinuous Galerkin Method for Fokker–Planck equations

Journal of Scientific Computing ◽

10.1007/s10915-014-9878-1 ◽

2014 ◽

Vol 62 (3) ◽

pp. 803-830 ◽

Author(s):

Hailiang Liu ◽

Hui Yu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fokker Planck Equations ◽

Entropy Satisfying ◽

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Numerical Solution of the Fokker-Planck Equation with Time-Discontinuous Galerkin Methods

PAMM ◽

10.1002/pamm.201010120 ◽

2010 ◽

Vol 10 (1) ◽

pp. 255-256

Author(s):

Friederike Loerke ◽

Udo Nackenhorst

Keyword(s):

Numerical Solution ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Planck Equation ◽

Galerkin Methods ◽

Fokker Planck Equation ◽

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A short note on the error estimates of Yuan–Shu discontinuous Galerkin method based on non-polynomial approximation spaces

Journal of Computational Physics ◽

10.1016/j.jcp.2016.05.032 ◽

2016 ◽

Vol 320 ◽

pp. 33-39 ◽

Author(s):

Hyoseon Yang ◽

Jungho Yoon

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Polynomial Approximation ◽

Approximation Spaces

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