A split formulation of the nearly perfectly matched layer for an acoustic wave equation using the discontinuous Galerkin method

Author(s):

Hyunseo Park* ◽

Jaejoon Lee ◽

Kunwoo Lee ◽

Changsoo Shin

Keyword(s):

Wave Equation ◽

Acoustic Wave ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Perfectly Matched Layer ◽

Acoustic Wave Equation

A space–time Trefftz discontinuous Galerkin method for the acoustic wave equation in first-order formulation

Numerische Mathematik ◽

10.1007/s00211-017-0910-x ◽

2017 ◽

Vol 138 (2) ◽

pp. 389-435 ◽

Cited By ~ 5

Author(s):

Andrea Moiola ◽

Ilaria Perugia

Keyword(s):

Wave Equation ◽

Acoustic Wave ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Space Time ◽

Acoustic Wave Equation ◽

First Order

An explicit hybridizable discontinuous Galerkin method for the acoustic wave equation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2015.12.003 ◽

2016 ◽

Vol 300 ◽

pp. 748-769 ◽

Cited By ~ 30

Author(s):

M. Stanglmeier ◽

N.C. Nguyen ◽

J. Peraire ◽

B. Cockburn

Keyword(s):

Wave Equation ◽

Acoustic Wave ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

Acoustic Wave Equation ◽

Hybridizable Discontinuous Galerkin ◽

A non-uniform basis order for the discontinuous Galerkin method of the 3D dissipative wave equation with perfectly matched layer

Journal of Computational Physics ◽

10.1016/j.jcp.2010.03.030 ◽

2010 ◽

Vol 229 (13) ◽

pp. 5144-5160 ◽

Cited By ~ 10

Author(s):

T. Lähivaara ◽

T. Huttunen

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Perfectly Matched Layer ◽

Dissipative Wave Equation

Local discontinuous Galerkin method for distributed‐order time‐fractional diffusion‐wave equation: Application of Laplace transform

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7077 ◽

2020 ◽

Author(s):

Hadi Mohammadi‐Firouzjaei ◽

Hojatollah Adibi ◽

Mehdi Dehghan

Keyword(s):

Wave Equation ◽

Laplace Transform ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Local Discontinuous Galerkin ◽

Distributed Order

Direct Solution of the Acoustic Wave Equation using the Wavelet-Galerkin Method

10.1190/sbgf2013-290 ◽

2013 ◽

Author(s):

Rodrigo Bird Burgos ◽

Marco Antonio Cetale Santos ◽

Raul Rosas e Silva

Keyword(s):

Wave Equation ◽

Acoustic Wave ◽

Galerkin Method ◽

Direct Solution ◽

Acoustic Wave Equation ◽

Wavelet Galerkin Method

Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the fractional diffusion-wave equation

Numerical Algorithms ◽

10.1007/s11075-014-9827-y ◽

2014 ◽

Vol 67 (4) ◽

pp. 845-862 ◽

Cited By ~ 13

Author(s):

Huiya Dai ◽

Leilei Wei ◽

Xindong Zhang

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Numerical Algorithm ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Fully Discrete ◽

Local Discontinuous Galerkin

An Energy Conserving Local Discontinuous Galerkin Method for a Nonlinear Variational Wave Equation

Communications in Computational Physics ◽

10.4208/cicp.oa-2016-0189 ◽

2018 ◽

Vol 23 (3) ◽

Author(s):

Nianyu Yi ◽

Hailiang Liu

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Local Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin ◽

Energy Conserving ◽

Variational Wave

Dispersive Behavior of an Energy-Conserving Discontinuous Galerkin Method for the One-Way Wave Equation

Journal of Scientific Computing ◽

10.1007/s10915-018-0846-z ◽

2018 ◽

Vol 79 (1) ◽

pp. 209-226 ◽

Author(s):

Mark Ainsworth ◽

Guosheng Fu

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Energy Conserving ◽

The One

Discontinuous Galerkin method for numerical solution of the regularized long wave equation

10.1063/1.4766775 ◽

2012 ◽

Author(s):

J. Hozman

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Numerical Solution ◽

Discontinuous Galerkin ◽

Long Wave ◽

Regularized Long Wave Equation

An efficient complex-frequency shifted-perfectly matched layer for second-order acoustic wave equation

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.4594 ◽

2013 ◽

Vol 97 (2) ◽

pp. 130-148 ◽

Cited By ~ 7

Author(s):

Youneng Ma ◽

Jinhua Yu ◽

Yuanyuan Wang

Keyword(s):

Wave Equation ◽

Acoustic Wave ◽

Perfectly Matched Layer ◽

Second Order ◽

Complex Frequency ◽

Acoustic Wave Equation