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

J.J. Sudirham; J.J.W. van der Vegt; R.M.J. van Damme

doi:10.1016/j.apnum.2005.11.003

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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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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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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Analysis of space–time discontinuous Galerkin method for nonlinear convection–diffusion problems

Numerische Mathematik ◽

10.1007/s00211-010-0348-x ◽

2010 ◽

Vol 117 (2) ◽

pp. 251-288 ◽

Cited By ~ 21

Author(s):

Miloslav Feistauer ◽

Václav Kučera ◽

Karel Najzar ◽

Jaroslava Prokopová

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Space Time ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Diffusion Problems

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A high-order discontinuous Galerkin method with Lagrange multipliers for advection–diffusion problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2013.05.003 ◽

2013 ◽

Vol 264 ◽

pp. 49-66 ◽

Cited By ~ 10

Author(s):

S. Brogniez ◽

C. Farhat ◽

E. Hachem

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Lagrange Multipliers ◽

High Order ◽

Advection Diffusion ◽

Diffusion Problems

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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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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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A Compact Discontinuous Galerkin Method for Advection-Diffusion Problems

2018 AIAA Aerospace Sciences Meeting ◽

10.2514/6.2018-1091 ◽

2018 ◽

Cited By ~ 3

Author(s):

Eric Johnsen ◽

Philip E. Johnson

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Advection Diffusion ◽

Diffusion Problems

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Finite volume - space-time discontinuous Galerkin method for the numerical simulation of compressible turbulent flow in time dependent domains

EPJ Web of Conferences ◽

10.1051/epjconf/201714302014 ◽

2017 ◽

Vol 143 ◽

pp. 02014

Author(s):

Jan Česenek

Keyword(s):

Numerical Simulation ◽

Turbulent Flow ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Finite Volume ◽

Discontinuous Galerkin Method ◽

Space Time ◽

Time Dependent ◽

Compressible Turbulent Flow

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A discontinuous Galerkin method with Lagrange multipliers for spatially-dependent advection–diffusion problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2017.08.024 ◽

2017 ◽

Vol 327 ◽

pp. 93-117 ◽

Cited By ~ 8

Author(s):

Raunak Borker ◽

Charbel Farhat ◽

Radek Tezaur

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Lagrange Multipliers ◽

Advection Diffusion ◽

Diffusion Problems

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A space–time discontinuous Galerkin method for the time-dependent Oseen equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2007.11.010 ◽

2008 ◽

Vol 58 (12) ◽

pp. 1892-1917 ◽

Cited By ~ 23

Author(s):

J.J.W. van der Vegt ◽

J.J. Sudirham

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Space Time ◽

Time Dependent ◽

Oseen Equations

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