Analysis of Schwarz Methods for a Hybridizable Discontinuous Galerkin Discretization

Martin J. Gander; Soheil Hajian

doi:10.1137/140961857

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 ◽

Cited By ~ 9

Author(s):

Martin J. Gander ◽

Soheil Hajian

Keyword(s):

Discontinuous Galerkin ◽

Schwarz Methods ◽

Galerkin Discretization ◽

Hybridizable Discontinuous Galerkin

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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 ◽

Cited By ~ 3

Author(s):

Martin J. Gander ◽

Soheil Hajian

Keyword(s):

Discontinuous Galerkin ◽

Schwarz Methods ◽

Galerkin Discretization ◽

Hybridizable Discontinuous Galerkin ◽

The Many

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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 ◽

Space Time ◽

Algebraic Multigrid ◽

Galerkin Discretization ◽

Hybridizable Discontinuous Galerkin ◽

Advection Diffusion

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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 ◽

Cited By ~ 2

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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hawen: time-harmonic wave modeling and inversion using hybridizable discontinuous Galerkin discretization

The Journal of Open Source Software ◽

10.21105/joss.02699 ◽

2021 ◽

Vol 6 (57) ◽

pp. 2699

Author(s):

Florian Faucher

Keyword(s):

Discontinuous Galerkin ◽

Harmonic Wave ◽

Wave Modeling ◽

Galerkin Discretization ◽

Hybridizable Discontinuous Galerkin ◽

Time Harmonic ◽

And Inversion

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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 ◽

Cited By ~ 1

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 Comparison of the Explicit and Implicit Hybridizable Discontinuous Galerkin Methods for Nonlinear Shallow Water Equations

Journal of Scientific Computing ◽

10.1007/s10915-019-01007-z ◽

2019 ◽

Vol 80 (3) ◽

pp. 1936-1956 ◽

Cited By ~ 3

Author(s):

Ali Samii ◽

Kazbek Kazhyken ◽

Craig Michoski ◽

Clint Dawson

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Hybridizable Discontinuous Galerkin ◽

Nonlinear Shallow Water Equations ◽

Hybridizable Discontinuous Galerkin Methods

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Abstract theory of hybridizable discontinuous Galerkin methods for second-order quasilinear elliptic problems

Computational Mathematics and Mathematical Physics ◽

10.1134/s096554251403004x ◽

2014 ◽

Vol 54 (3) ◽

pp. 474-490 ◽

Cited By ~ 5

Author(s):

R. Z. Dautov ◽

E. M. Fedotov

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Second Order ◽

Galerkin Methods ◽

Abstract Theory ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Methods ◽

Quasilinear Elliptic Problems ◽

Quasilinear Elliptic

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An Implicit Hybridizable Discontinuous Galerkin Time-Domain Method to Solve S-parameters in the Waveguide Port

2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting ◽

10.1109/ieeeconf35879.2020.9329795 ◽

2020 ◽

Author(s):

Xing Li ◽

Li Xu ◽

Zhen Ye ◽

Zhong-Hai Yang ◽

Bin Li

Keyword(s):

Discontinuous Galerkin ◽

Time Domain ◽

Time Domain Method ◽

Hybridizable Discontinuous Galerkin ◽

Domain Method ◽

S Parameters

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High-order unstructured grid generation and Discontinuous Galerkin discretization applied to a 3D high-lift configuration

53rd AIAA Aerospace Sciences Meeting ◽

10.2514/6.2015-0819 ◽

2015 ◽

Cited By ~ 6

Author(s):

Ralf Hartmann ◽

Tobias Leicht

Keyword(s):

Discontinuous Galerkin ◽

Unstructured Grid ◽

Grid Generation ◽

High Order ◽

High Lift ◽

Galerkin Discretization

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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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