AIR Algebraic Multigrid for a Space-Time Hybridizable Discontinuous Galerkin Discretization of Advection(-Diffusion)

SIAM Journal on Scientific Computing ◽

10.1137/20m1375103 ◽

2021 ◽

Vol 43 (5) ◽

pp. A3393-A3416

Author(s):

A. A. Sivas ◽

B. S. Southworth ◽

S. Rhebergen

Keyword(s):

Discontinuous Galerkin ◽

Algebraic Multigrid ◽

Galerkin Discretization ◽

Hybridizable Discontinuous Galerkin ◽

Advection Diffusion

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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 ◽

Author(s):

K. L. A. Kirk ◽

T. L. Horvath ◽

A. Cesmelioglu ◽

S. Rhebergen

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Diffusion Problem ◽

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 ◽

Author(s):

Sander Rhebergen ◽

Bernardo Cockburn

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Advection Diffusion Equation ◽

Hybridizable Discontinuous Galerkin ◽

Advection Diffusion ◽

Hybridizable Discontinuous Galerkin Method

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Space–time discontinuous Galerkin discretization of rotating shallow water equations

Journal of Computational Physics ◽

10.1016/j.jcp.2007.01.036 ◽

2007 ◽

Vol 225 (2) ◽

pp. 1233-1261 ◽

Author(s):

V.R. Ambati ◽

O. Bokhove

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Galerkin Discretization ◽

Rotating Shallow Water ◽

Rotating Shallow Water Equations

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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 ◽

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 ◽

Time Dependent ◽

Advection Diffusion ◽

Diffusion Problems

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Analysis of Schwarz methods for a hybridizable discontinuous Galerkin discretization: The many-subdomain case

Mathematics of Computation ◽

10.1090/mcom/3293 ◽

2017 ◽

Vol 87 (312) ◽

pp. 1635-1657 ◽

Author(s):

Martin J. Gander ◽

Soheil Hajian

Keyword(s):

Discontinuous Galerkin ◽

Schwarz Methods ◽

Galerkin Discretization ◽

Hybridizable Discontinuous Galerkin ◽

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Adaptive Hybridizable Discontinuous Galerkin discretization of the Grad–Shafranov equation by extension from polygonal subdomains

Computer Physics Communications ◽

10.1016/j.cpc.2020.107239 ◽

2020 ◽

Vol 255 ◽

pp. 107239 ◽

Author(s):

Tonatiuh Sánchez-Vizuet ◽

Manuel E. Solano ◽

Antoine J. Cerfon

Keyword(s):

Discontinuous Galerkin ◽

Galerkin Discretization ◽

Hybridizable Discontinuous Galerkin ◽

Shafranov Equation

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Analysis of Schwarz Methods for a Hybridizable Discontinuous Galerkin Discretization

SIAM Journal on Numerical Analysis ◽

10.1137/140961857 ◽

2015 ◽

Vol 53 (1) ◽

pp. 573-597 ◽

Author(s):

Martin J. Gander ◽

Soheil Hajian

Keyword(s):

Discontinuous Galerkin ◽

Schwarz Methods ◽

Galerkin Discretization ◽

Hybridizable Discontinuous Galerkin

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High-Order Space-Time Discontinuous Galerkin Discretization Using Tensor-Product Formulations

AIAA Scitech 2021 Forum ◽

10.2514/6.2021-0156 ◽

2021 ◽

Author(s):

Sung-Hwan Yoon ◽

Dimitri Mavriplis

Keyword(s):

Tensor Product ◽

Discontinuous Galerkin ◽

Galerkin Discretization

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Adjoint-state method for Hybridizable Discontinuous Galerkin discretization, application to the inverse acoustic wave problem

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2020.113406 ◽

2020 ◽

Vol 372 ◽

pp. 113406 ◽

Author(s):

Florian Faucher ◽

Otmar Scherzer

Keyword(s):

Acoustic Wave ◽

Discontinuous Galerkin ◽

Wave Problem ◽

Galerkin Discretization ◽

Hybridizable Discontinuous Galerkin ◽

Adjoint State ◽

State Method ◽

Adjoint State Method

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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 ◽

Free Surface Waves ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

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