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

K. L. A. Kirk; T. L. Horvath; A. Cesmelioglu; S. Rhebergen

doi:10.1137/18m1202049

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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Space-Time Hybridizable Discontinuous Galerkin Method for the Advection–Diffusion Equation on Moving and Deforming Meshes

The Courant–Friedrichs–Lewy (CFL) Condition ◽

10.1007/978-0-8176-8394-8_4 ◽

2013 ◽

pp. 45-63 ◽

Cited By ~ 8

Author(s):

Sander Rhebergen ◽

Bernardo Cockburn

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Space Time ◽

Advection Diffusion Equation ◽

Hybridizable Discontinuous Galerkin ◽

Advection Diffusion ◽

Hybridizable Discontinuous Galerkin Method

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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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A Space-Time Hybridizable Discontinuous Galerkin Method for Linear Free-Surface Waves

Journal of Scientific Computing ◽

10.1007/s10915-020-01340-8 ◽

2020 ◽

Vol 85 (3) ◽

Author(s):

Giselle Sosa Jones ◽

Jeonghun J. Lee ◽

Sander Rhebergen

Keyword(s):

Free Surface ◽

Galerkin Method ◽

Surface Waves ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Space Time ◽

Free Surface Waves ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

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A space–time hybridizable discontinuous Galerkin method for incompressible flows on deforming domains

Journal of Computational Physics ◽

10.1016/j.jcp.2012.02.011 ◽

2012 ◽

Vol 231 (11) ◽

pp. 4185-4204 ◽

Cited By ~ 53

Author(s):

Sander Rhebergen ◽

Bernardo Cockburn

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Incompressible Flows ◽

Space Time ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

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A hybridizable discontinuous Galerkin method for two-phase flow in heterogeneous porous media

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.5919 ◽

2018 ◽

Vol 116 (3) ◽

pp. 161-177 ◽

Cited By ~ 10

Author(s):

Maurice S. Fabien ◽

Matthew G. Knepley ◽

Béatrice M. Rivière

Keyword(s):

Porous Media ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Phase Flow ◽

Heterogeneous Porous Media ◽

Phase Flow ◽

Two Phase ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

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A hybridizable discontinuous Galerkin method for solving nonlocal optical response models

Computer Physics Communications ◽

10.1016/j.cpc.2017.05.012 ◽

2017 ◽

Vol 219 ◽

pp. 99-107 ◽

Cited By ~ 20

Author(s):

Liang Li ◽

Stéphane Lanteri ◽

N. Asger Mortensen ◽

Martijn Wubs

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Optical Response ◽

Response Models ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

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A Hybridizable Discontinuous Galerkin Method for Kirchhoff Plates

Journal of Scientific Computing ◽

10.1007/s10915-018-0780-0 ◽

2018 ◽

Vol 78 (1) ◽

pp. 290-320 ◽

Cited By ~ 2

Author(s):

Jianguo Huang ◽

Xuehai Huang

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Kirchhoff Plates ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

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A GPU-Accelerated Hybridizable Discontinuous Galerkin Method for Linear Elasticity

Communications in Computational Physics ◽

10.4208/cicp.oa-2018-0235 ◽

2020 ◽

Vol 27 (2) ◽

pp. 513-545 ◽

Cited By ~ 1

Author(s):

Maurice S. Fabien

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Linear Elasticity ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

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A hybridizable discontinuous Galerkin method for simulation of electrostatic problems with floating potential conductors

International Journal of Numerical Modelling Electronic Networks Devices and Fields ◽

10.1002/jnm.2804 ◽

2020 ◽

Author(s):

Liang Chen ◽

Ming Dong ◽

Ping Li ◽

Hakan Bagci

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Floating Potential ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method ◽

Electrostatic Problems

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A hybridizable discontinuous Galerkin method for both thin and 3D nonlinear elastic structures

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2019.04.029 ◽

2019 ◽

Vol 352 ◽

pp. 561-585 ◽

Cited By ~ 4

Author(s):

S. Terrana ◽

N.C. Nguyen ◽

J. Bonet ◽

J. Peraire

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Elastic Structures ◽

Hybridizable Discontinuous Galerkin ◽

Nonlinear Elastic Structures ◽

Hybridizable Discontinuous Galerkin Method ◽

Nonlinear Elastic

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