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

Michael Dumbser; Martin Käser

doi:10.1111/j.1365-246x.2006.03120.x

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

Geophysical Journal International ◽

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 ◽

Discontinuous Galerkin Method ◽

Elastic Waves ◽

Three Dimensional ◽

Unstructured Meshes ◽

High Order ◽

Isotropic Case

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

Geophysical Journal International ◽

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 ◽

Discontinuous Galerkin Method ◽

Elastic Waves ◽

External Source ◽

Unstructured Meshes ◽

High Order ◽

Isotropic Case ◽

Two Dimensional ◽

Source Terms

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

Geophysical Journal International ◽

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 ◽

Discontinuous Galerkin Method ◽

Elastic Waves ◽

Unstructured Meshes ◽

High Order

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

Geophysical Journal International ◽

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 ◽

Discontinuous Galerkin Method ◽

Elastic Waves ◽

Unstructured Meshes ◽

High Order

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

Geophysical Journal International ◽

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 ◽

Discontinuous Galerkin Method ◽

Elastic Waves ◽

Unstructured Meshes ◽

High Order ◽

Time Stepping ◽

Local Time Stepping

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A high-order nodal discontinuous Galerkin method for simulation of three-dimensional non-cavitating/cavitating flows

Finite Elements in Analysis and Design ◽

10.1016/j.finel.2021.103681 ◽

2022 ◽

Vol 200 ◽

pp. 103681

Author(s):

Mahya Hajihassanpour ◽

Kazem Hejranfar

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Three Dimensional ◽

High Order ◽

Cavitating Flows ◽

Nodal Discontinuous Galerkin Method

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A sparse and high-order accurate line-based discontinuous Galerkin method for unstructured meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2012.09.008 ◽

2013 ◽

Vol 233 ◽

pp. 414-429 ◽

Cited By ~ 20

Author(s):

Per-Olof Persson

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Unstructured Meshes ◽

High Order

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Assessment of a high-order discontinuous Galerkin method for vortex convection and wave propagation on unstructured meshes

Journal of Mechanical Science and Technology ◽

10.1007/s12206-013-0855-7 ◽

2013 ◽

Vol 27 (11) ◽

pp. 3331-3346

Author(s):

Hee Dong Lee ◽

Oh Joon Kwon

Keyword(s):

Wave Propagation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Unstructured Meshes ◽

High Order

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Assessment of a high-order discontinuous Galerkin method for incompressible three-dimensional Navier–Stokes equations: Benchmark results for the flow past a sphere up to Re=500

Computers & Fluids ◽

10.1016/j.compfluid.2013.07.027 ◽

2013 ◽

Vol 86 ◽

pp. 442-458 ◽

Cited By ~ 18

Author(s):

Andrea Crivellini ◽

Valerio D’Alessandro ◽

Francesco Bassi

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Stokes Equations ◽

Three Dimensional ◽

High Order ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Flow Past ◽

Flow Past A Sphere

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Three-dimensional dynamic rupture simulation with a high-order discontinuous Galerkin method on unstructured tetrahedral meshes

Journal of Geophysical Research Atmospheres ◽

10.1029/2011jb008857 ◽

2012 ◽

Vol 117 (B2) ◽

pp. n/a-n/a ◽

Cited By ~ 60

Author(s):

Christian Pelties ◽

Josep de la Puente ◽

Jean-Paul Ampuero ◽

Gilbert B. Brietzke ◽

Martin Käser

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Three Dimensional ◽

High Order ◽

Dynamic Rupture ◽

Tetrahedral Meshes ◽

Unstructured Tetrahedral Meshes ◽

Dynamic Rupture Simulation

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A high order semi-implicit discontinuous Galerkin method for the two dimensional shallow water equations on staggered unstructured meshes

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.02.032 ◽

2014 ◽

Vol 234 ◽

pp. 623-644 ◽

Cited By ~ 11

Author(s):

Maurizio Tavelli ◽

Michael Dumbser

Keyword(s):

Galerkin Method ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Shallow Water Equations ◽

Unstructured Meshes ◽

High Order ◽

Two Dimensional

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