An entropy stable discontinuous Galerkin finite-element moment method for the Boltzmann equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.05.021 ◽

2016 ◽

Vol 72 (8) ◽

pp. 1988-1999 ◽

Author(s):

M.R.A. Abdelmalik ◽

E.H. van Brummelen

Keyword(s):

Finite Element ◽

Boltzmann Equation ◽

Discontinuous Galerkin ◽

Moment Method ◽

Galerkin Finite Element ◽

The Boltzmann Equation ◽

Discontinuous Galerkin Finite Element ◽

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A Discontinuous Galerkin Finite Element Method for a Class of Spherical Harmonic Expansions of the Boltzmann Equation

10.1109/icops36761.2021.9588543 ◽

2021 ◽

Author(s):

David A. Kessler ◽

Stephen B. Swanekamp ◽

Steve Richardson ◽

Paul E. Adamson ◽

Lina Petrova

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boltzmann Equation ◽

Discontinuous Galerkin ◽

Spherical Harmonic ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

The Boltzmann Equation ◽

Discontinuous Galerkin Finite Element ◽

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A discontinuous Galerkin finite-element method for a 1D prototype of the Boltzmann equation

Journal of Computational Physics ◽

10.1016/j.jcp.2011.04.016 ◽

2011 ◽

Vol 230 (15) ◽

pp. 6115-6135 ◽

Author(s):

W. Hoitinga ◽

E.H. van Brummelen

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boltzmann Equation ◽

Discontinuous Galerkin ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

The Boltzmann Equation ◽

Discontinuous Galerkin Finite Element ◽

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Entropy Stable Discontinuous Galerkin Finite Element Moment Methods for Compressible Fluid Dynamics

Lecture Notes in Computational Science and Engineering - Numerical Methods for Flows ◽

10.1007/978-3-030-30705-9_8 ◽

2020 ◽

pp. 75-95

Author(s):

M. R. A. Abdelmalik ◽

Harald van Brummelen

Keyword(s):

Fluid Dynamics ◽

Finite Element ◽

Discontinuous Galerkin ◽

Compressible Fluid ◽

Galerkin Finite Element ◽

Moment Methods ◽

Discontinuous Galerkin Finite Element ◽

Entropy Stable ◽

Compressible Fluid Dynamics

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Discontinuous Galerkin finite element differential calculus and applications to numerical solutions of linear and nonlinear partial differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2015.10.024 ◽

2016 ◽

Vol 299 ◽

pp. 68-91 ◽

Author(s):

Xiaobing Feng ◽

Thomas Lewis ◽

Michael Neilan

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Discontinuous Galerkin ◽

Differential Calculus ◽

Numerical Solutions ◽

Nonlinear Partial Differential Equations ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Linear And Nonlinear

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Flooding and Drying in Discontinuous Galerkin Finite-Element Discretizations of Shallow-Water Equations. Part 1: One Dimension

Journal of Scientific Computing ◽

10.1007/s10915-004-4136-6 ◽

2005 ◽

Vol 22-23 (1-3) ◽

pp. 47-82 ◽

Author(s):

Onno Bokhove

Keyword(s):

Finite Element ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

One Dimension ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Finite Element Discretizations ◽

Flooding And Drying ◽

Element Discretizations

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Application of hp-discontinuous Galerkin finite element methods to the rotating disk electrode problems in electrochemistry

Journal of Applied Mathematics and Computing ◽

10.1007/bf02896457 ◽

2006 ◽

Vol 22 (1-2) ◽

pp. 1-20 ◽

Author(s):

Daniel Okuonghae

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Rotating Disk ◽

Rotating Disk Electrode ◽

Disk Electrode ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Galerkin Finite Element Methods

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An efficient discontinuous Galerkin finite element method with nested domain decomposition for simulations of microresistivity imaging

Journal of Applied Geophysics ◽

10.1016/j.jappgeo.2015.01.006 ◽

2015 ◽

Vol 114 ◽

pp. 116-122 ◽

Author(s):

Jiefu Chen

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Domain Decomposition ◽

Discontinuous Galerkin ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

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Discontinuous Galerkin finite element methods for dynamic linear solid viscoelasticity problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20215 ◽

2007 ◽

Vol 23 (5) ◽

pp. 1149-1166 ◽

Author(s):

Béatrice Rivière ◽

Simon Shaw ◽

J.R. Whiteman

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Galerkin Finite Element Methods

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A discontinuous Galerkin finite element model for river bed evolution under shallow flows

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2008.01.023 ◽

2008 ◽

Vol 197 (33-40) ◽

pp. 2930-2947 ◽

Author(s):

P.A. Tassi ◽

S. Rhebergen ◽

C.A. Vionnet ◽

O. Bokhove

Keyword(s):

Finite Element ◽

Finite Element Model ◽

Discontinuous Galerkin ◽

Element Model ◽

Galerkin Finite Element ◽

Shallow Flows ◽

River Bed ◽

Discontinuous Galerkin Finite Element ◽

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Fully Computable Error Bounds for Discontinuous Galerkin Finite Element Approximations on Meshes with an Arbitrary Number of Levels of Hanging Nodes

SIAM Journal on Numerical Analysis ◽

10.1137/080725945 ◽

2010 ◽

Vol 47 (6) ◽

pp. 4112-4141 ◽

Author(s):

Mark Ainsworth ◽

Richard Rankin

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Error Bounds ◽

Arbitrary Number ◽

Galerkin Finite Element ◽

Hanging Nodes ◽

Finite Element Approximations ◽

Discontinuous Galerkin Finite Element ◽

Computable Error Bounds

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