A Hybridizable Discontinuous Galerkin Method for the Helmholtz Equation with High Wave Number

Huangxin Chen; Peipei Lu; Xuejun Xu

doi:10.1137/120883451

A Hybridizable Discontinuous Galerkin Method for the Helmholtz Equation with High Wave Number

SIAM Journal on Numerical Analysis ◽

10.1137/120883451 ◽

2013 ◽

Vol 51 (4) ◽

pp. 2166-2188 ◽

Cited By ~ 22

Author(s):

Huangxin Chen ◽

Peipei Lu ◽

Xuejun Xu

Keyword(s):

Helmholtz Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Wave Number ◽

High Wave Number ◽

High Wave ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

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Error Analysis for a Hybridizable Discontinuous Galerkin Method for the Helmholtz Equation

Journal of Scientific Computing ◽

10.1007/s10915-011-9460-z ◽

2011 ◽

Vol 49 (3) ◽

pp. 291-310 ◽

Cited By ~ 39

Author(s):

Roland Griesmaier ◽

Peter Monk

Keyword(s):

Error Analysis ◽

Helmholtz Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

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A robust multilevel method for hybridizable discontinuous Galerkin method for the Helmholtz equation

Journal of Computational Physics ◽

10.1016/j.jcp.2014.01.042 ◽

2014 ◽

Vol 264 ◽

pp. 133-151 ◽

Cited By ~ 9

Author(s):

Huangxin Chen ◽

Peipei Lu ◽

Xuejun Xu

Keyword(s):

Helmholtz Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Multilevel Method ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

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A phase-based hybridizable discontinuous Galerkin method for the numerical solution of the Helmholtz equation

Journal of Computational Physics ◽

10.1016/j.jcp.2015.02.002 ◽

2015 ◽

Vol 290 ◽

pp. 318-335 ◽

Cited By ~ 22

Author(s):

N.C. Nguyen ◽

J. Peraire ◽

F. Reitich ◽

B. Cockburn

Keyword(s):

Helmholtz Equation ◽

Galerkin Method ◽

Numerical Solution ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

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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Hybridizable Discontinuous Galerkin Method Contrast Source Inversion of 2-D and 3-D Dielectric and Magnetic Targets

IEEE Transactions on Microwave Theory and Techniques ◽

10.1109/tmtt.2019.2905214 ◽

2019 ◽

Vol 67 (5) ◽

pp. 1766-1777 ◽

Cited By ~ 4

Author(s):

Kevin G. Brown ◽

Nicholas Geddert ◽

Mohammad Asefi ◽

Joe LoVetri ◽

Ian Jeffrey

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Source Inversion ◽

Hybridizable Discontinuous Galerkin ◽

Contrast Source Inversion ◽

Hybridizable Discontinuous Galerkin Method

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