An Adaptive Multiresolution Discontinuous Galerkin Method for Time-Dependent Transport Equations in Multidimensions

Wei Guo; Yingda Cheng

doi:10.1137/16m1083190

An Adaptive Multiresolution Discontinuous Galerkin Method for Time-Dependent Transport Equations in Multidimensions

SIAM Journal on Scientific Computing ◽

10.1137/16m1083190 ◽

2017 ◽

Vol 39 (6) ◽

pp. A2962-A2992 ◽

Cited By ~ 7

Author(s):

Wei Guo ◽

Yingda Cheng

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Transport Equations ◽

Time Dependent ◽

Dependent Transport

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A high-order discontinuous Galerkin method for the SN transport equations on 2D unstructured triangular meshes

Annals of Nuclear Energy ◽

10.1016/j.anucene.2009.03.002 ◽

2009 ◽

Vol 36 (7) ◽

pp. 931-939 ◽

Cited By ~ 20

Author(s):

Yaqi Wang ◽

Jean C. Ragusa

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Transport Equations ◽

High Order ◽

Triangular Meshes

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A New Nonsymmetric Discontinuous Galerkin Method for Time Dependent Convection Diffusion Equations

Journal of Scientific Computing ◽

10.1007/s10915-012-9637-0 ◽

2012 ◽

Vol 54 (2-3) ◽

pp. 663-683 ◽

Cited By ~ 6

Author(s):

Jue Yan

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Dependent ◽

Diffusion Equations ◽

Convection Diffusion

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A Sparse Grid Discontinuous Galerkin Method for High-Dimensional Transport Equations and Its Application to Kinetic Simulations

SIAM Journal on Scientific Computing ◽

10.1137/16m1060017 ◽

2016 ◽

Vol 38 (6) ◽

pp. A3381-A3409 ◽

Cited By ~ 15

Author(s):

Wei Guo ◽

Yingda Cheng

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Transport Equations ◽

Sparse Grid ◽

High Dimensional

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Analysis of a Space-Time Hybridizable Discontinuous Galerkin Method for the Advection-Diffusion Problem on Time-Dependent Domains

SIAM Journal on Numerical Analysis ◽

10.1137/18m1202049 ◽

2019 ◽

Vol 57 (4) ◽

pp. 1677-1696 ◽

Cited By ~ 2

Author(s):

K. L. A. Kirk ◽

T. L. Horvath ◽

A. Cesmelioglu ◽

S. Rhebergen

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Diffusion Problem ◽

Space Time ◽

Time Dependent ◽

Hybridizable Discontinuous Galerkin ◽

Advection Diffusion ◽

Hybridizable Discontinuous Galerkin Method

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The Discontinuous Galerkin Method for Convection-Diffusion Problems in Time-Dependent Domains

Numerical Mathematics and Advanced Applications 2009 ◽

10.1007/978-3-642-11795-4_59 ◽

2010 ◽

pp. 551-559

Author(s):

Václav Kučera ◽

Miloslav Feistauer ◽

Jaroslava Prokopov́

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Dependent ◽

Convection Diffusion ◽

Diffusion Problems

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A Fourier spectral-discontinuous Galerkin method for time-dependent 3-D Schrödinger–Poisson equations with discontinuous potentials

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2007.09.025 ◽

2008 ◽

Vol 220 (1-2) ◽

pp. 588-614 ◽

Cited By ~ 10

Author(s):

Tiao Lu ◽

Wei Cai

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Dependent ◽

Poisson Equations

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Non-dissipative space–time hp-discontinuous Galerkin method for the time-dependent Maxwell equations

Journal of Computational Physics ◽

10.1016/j.jcp.2014.07.015 ◽

2014 ◽

Vol 275 ◽

pp. 589-607 ◽

Cited By ~ 16

Author(s):

M. Lilienthal ◽

S.M. Schnepp ◽

T. Weiland

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Maxwell Equations ◽

Space Time ◽

Time Dependent

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Space–time discontinuous Galerkin method for advection–diffusion problems on time-dependent domains

Applied Numerical Mathematics ◽

10.1016/j.apnum.2005.11.003 ◽

2006 ◽

Vol 56 (12) ◽

pp. 1491-1518 ◽

Cited By ~ 44

Author(s):

J.J. Sudirham ◽

J.J.W. van der Vegt ◽

R.M.J. van Damme

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Space Time ◽

Time Dependent ◽

Advection Diffusion ◽

Diffusion Problems

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On the stability of the ale space-time discontinuous Galerkin method for nonlinear convection-diffusion problems in time-dependent domains

Applications of Mathematics ◽

10.1007/s10492-015-0109-3 ◽

2015 ◽

Vol 60 (5) ◽

pp. 501-526 ◽

Cited By ~ 5

Author(s):

Monika Balázsová ◽

Miloslav Feistauer

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Space Time ◽

Time Dependent ◽

Nonlinear Convection ◽

Convection Diffusion ◽

The Stability ◽

Ale Space ◽

Diffusion Problems

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Superconvergence of the local discontinuous Galerkin method for linear fourth-order time-dependent problems in one space dimension

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drr047 ◽

2012 ◽

Vol 32 (4) ◽

pp. 1294-1328 ◽

Cited By ~ 21

Author(s):

X. Meng ◽

C.-W. Shu ◽

B. Wu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fourth Order ◽

Space Dimension ◽

Local Discontinuous Galerkin Method ◽

Time Dependent ◽

Local Discontinuous Galerkin ◽

Time Dependent Problems ◽

One Space Dimension

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