A New Discontinuous Galerkin Method for Elastic Waves with Physically Motivated Numerical Fluxes

Elastic Waves ◽

Numerical Fluxes

An arbitrary high-order Discontinuous Galerkin method for elastic waves on unstructured meshes - III. Viscoelastic attenuation

10.1111/j.1365-246x.2006.03193.x ◽

2007 ◽

Vol 168 (1) ◽

pp. 224-242 ◽

Cited By ~ 96

Author(s):

Martin Käser ◽

Michael Dumbser ◽

Josep de la Puente ◽

Heiner Igel

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Elastic Waves ◽

Unstructured Meshes ◽

High Order

Systematic development of upwind numerical fluxes for the space discontinuous Galerkin method applied to elastic wave propagation in anisotropic and heterogeneous media with physical interfaces

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2020.113352 ◽

2020 ◽

Vol 372 ◽

pp. 113352 ◽

Cited By ~ 1

Author(s):

B. Tie ◽

A.-S. Mouronval

Keyword(s):

Wave Propagation ◽

Elastic Wave ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Heterogeneous Media ◽

Elastic Wave Propagation ◽

Physical Interfaces ◽

Numerical Fluxes ◽

Systematic Development

A discontinuous Galerkin method with a modified penalty flux for the propagation and scattering of acousto-elastic waves

10.1093/gji/ggw070 ◽

2016 ◽

Vol 205 (2) ◽

pp. 1267-1289 ◽

Cited By ~ 30

Author(s):

Ruichao Ye ◽

Maarten V. de Hoop ◽

Christopher L. Petrovitch ◽

Laura J. Pyrak-Nolte ◽

Lucas C. Wilcox

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Elastic Waves

An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes - I. The two-dimensional isotropic case with external source terms

10.1111/j.1365-246x.2006.03051.x ◽

2006 ◽

Vol 166 (2) ◽

pp. 855-877 ◽

Cited By ~ 227

Author(s):

Martin Käser ◽

Michael Dumbser

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Elastic Waves ◽

External Source ◽

Unstructured Meshes ◽

High Order ◽

Isotropic Case ◽

Two Dimensional ◽

Source Terms

A Numerical Comparison of the Lax–Wendroff Discontinuous Galerkin Method Based on Different Numerical Fluxes

Journal of Scientific Computing ◽

10.1007/s10915-006-9109-5 ◽

2006 ◽

Vol 30 (3) ◽

pp. 345-367 ◽

Cited By ~ 8

Author(s):

Jianxian Qiu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Numerical Comparison ◽

Numerical Fluxes

A stable discontinuous Galerkin method for linear elastodynamics in 3D geometrically complex elastic solids using physics based numerical fluxes

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2021.114386 ◽

2022 ◽

Vol 389 ◽

pp. 114386

Author(s):

Kenneth Duru ◽

Leonhard Rannabauer ◽

Alice-Agnes Gabriel ◽

On Ki Angel Ling ◽

Heiner Igel ◽

...

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Elastic Solids ◽

Linear Elastodynamics ◽

Numerical Fluxes ◽

Geometrically Complex

Numerical Accuracy Analysis of Triangle-based Discontinuous Galerkin Method for Elastic Waves

10.3997/2214-4609.202010852 ◽

2020 ◽

Author(s):

D. Han ◽

W. Liu ◽

Y. Xu ◽

Y. Rao

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Elastic Waves ◽

Accuracy Analysis ◽

Numerical Accuracy

An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes - II. The three-dimensional isotropic case

10.1111/j.1365-246x.2006.03120.x ◽

2006 ◽

Vol 167 (1) ◽

pp. 319-336 ◽

Cited By ~ 224

Author(s):

Michael Dumbser ◽

Martin Käser

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Elastic Waves ◽

Three Dimensional ◽

Unstructured Meshes ◽

High Order ◽

Isotropic Case

An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes - IV. Anisotropy

10.1111/j.1365-246x.2007.03381.x ◽

2007 ◽

Vol 169 (3) ◽

pp. 1210-1228 ◽

Cited By ~ 90

Author(s):

Josep de la Puente ◽

Martin Käser ◽

Michael Dumbser ◽

Heiner Igel

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Elastic Waves ◽

Unstructured Meshes ◽

High Order

An arbitrary high-order Discontinuous Galerkin method for elastic waves on unstructured meshes - V. Local time stepping andp-adaptivity

10.1111/j.1365-246x.2007.03427.x ◽

2007 ◽

Vol 171 (2) ◽

pp. 695-717 ◽

Cited By ~ 161

Author(s):

Michael Dumbser ◽

Martin Käser ◽

Eleuterio F. Toro

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Local Time ◽

Elastic Waves ◽

Unstructured Meshes ◽

High Order ◽

Time Stepping ◽

Local Time Stepping