Discontinuous Galerkin Galerkin Differences for the Wave Equation in Second-Order Form

J. W. Banks; B. Brett Buckner; T. Hagstrom; K. Juhnke

doi:10.1137/20m1328671

Discontinuous Galerkin Galerkin Differences for the Wave Equation in Second-Order Form

SIAM Journal on Scientific Computing ◽

10.1137/20m1328671 ◽

2021 ◽

Vol 43 (2) ◽

pp. A1497-A1526

Author(s):

J. W. Banks ◽

B. Brett Buckner ◽

T. Hagstrom ◽

K. Juhnke

Keyword(s):

Wave Equation ◽

Discontinuous Galerkin ◽

Second Order ◽

Order Form

Download Full-text

Convergence analysis of an energy based discontinuous Galerkin method for the wave equation in second-order form: hp version

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.01.017 ◽

2020 ◽

Vol 79 (11) ◽

pp. 3223-3240 ◽

Cited By ~ 1

Author(s):

Yu Du ◽

Jiangxing Wang

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Convergence Analysis ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Second Order ◽

Order Form

Download Full-text

An energy-based discontinuous Galerkin discretization of the elastic wave equation in second order form

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2018.04.014 ◽

2018 ◽

Vol 338 ◽

pp. 362-391 ◽

Cited By ~ 7

Author(s):

Daniel Appelö ◽

Thomas Hagstrom

Keyword(s):

Wave Equation ◽

Elastic Wave ◽

Discontinuous Galerkin ◽

Second Order ◽

Elastic Wave Equation ◽

Galerkin Discretization ◽

Order Form

Download Full-text

Unconditional stability and optimal error estimates of discontinuous Galerkin methods for the second-order wave equation

Applicable Analysis ◽

10.1080/00036811.2019.1636968 ◽

2019 ◽

pp. 1-15 ◽

Cited By ~ 1

Author(s):

Limin He ◽

Weimin Han ◽

Fei Wang ◽

Wentao Cai

Keyword(s):

Wave Equation ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Unconditional Stability ◽

Second Order ◽

Optimal Error Estimates ◽

Galerkin Methods ◽

Optimal Error ◽

Second Order Wave Equation

Download Full-text

Spectral methods for the wave equation in second-order form

Physical Review D ◽

10.1103/physrevd.82.024037 ◽

2010 ◽

Vol 82 (2) ◽

Cited By ~ 13

Author(s):

Nicholas W. Taylor ◽

Lawrence E. Kidder ◽

Saul A. Teukolsky

Keyword(s):

Wave Equation ◽

Spectral Methods ◽

Second Order ◽

Order Form

Download Full-text

Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media

Journal of Computational Physics ◽

10.1016/j.jcp.2014.04.009 ◽

2014 ◽

Vol 272 ◽

pp. 88-107 ◽

Cited By ~ 35

Author(s):

Ching-Shan Chou ◽

Chi-Wang Shu ◽

Yulong Xing

Keyword(s):

Wave Equation ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Heterogeneous Media ◽

Second Order ◽

Galerkin Methods ◽

Local Discontinuous Galerkin ◽

Local Discontinuous Galerkin Methods ◽

Energy Conserving ◽

Second Order Wave Equation

Download Full-text

A high-order space–time ultra-weak discontinuous Galerkin method for the second-order wave equation in one space dimension

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.113331 ◽

2021 ◽

Vol 389 ◽

pp. 113331

Author(s):

Mahboub Baccouch ◽

Helmi Temimi

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Space Dimension ◽

Space Time ◽

Second Order ◽

High Order ◽

Second Order Wave Equation ◽

One Space Dimension

Download Full-text

Convergence Analysis of a Discontinuous Galerkin Method for Wave Equations in Second-Order Form

SIAM Journal on Numerical Analysis ◽

10.1137/18m1190495 ◽

2019 ◽

Vol 57 (1) ◽

pp. 238-265 ◽

Cited By ~ 2

Author(s):

Yu Du ◽

Lu Zhang ◽

Zhimin Zhang

Keyword(s):

Galerkin Method ◽

Convergence Analysis ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Wave Equations ◽

Second Order ◽

Order Form

Download Full-text

An Adaptive Multiresolution Interior Penalty Discontinuous Galerkin Method for Wave Equations in Second Order Form

Journal of Scientific Computing ◽

10.1007/s10915-020-01322-w ◽

2020 ◽

Vol 85 (1) ◽

Author(s):

Juntao Huang ◽

Yuan Liu ◽

Wei Guo ◽

Zhanjing Tao ◽

Yingda Cheng

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Wave Equations ◽

Second Order ◽

Interior Penalty ◽

Order Form

Download Full-text

A Trefftz Polynomial Space-Time Discontinuous Galerkin Method for the Second Order Wave Equation

SIAM Journal on Numerical Analysis ◽

10.1137/16m1065744 ◽

2017 ◽

Vol 55 (1) ◽

pp. 63-86 ◽

Cited By ~ 7

Author(s):

Lehel Banjai ◽

Emmanuil H. Georgoulis ◽

Oluwaseun Lijoka

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Space Time ◽

Second Order ◽

Polynomial Space ◽

Second Order Wave Equation

Download Full-text

Asymptotically exact a posteriori local discontinuous Galerkin error estimates for the one-dimensional second-order wave equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21955 ◽

2014 ◽

Vol 31 (5) ◽

pp. 1461-1491 ◽

Cited By ~ 8

Author(s):

Mahboub Baccouch

Keyword(s):

Wave Equation ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Second Order ◽

A Posteriori ◽

One Dimensional ◽

Local Discontinuous Galerkin ◽

Second Order Wave Equation ◽

The One

Download Full-text