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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

High order discontinuous Galerkin method for reduced flow models in fractured porous media

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2021.07.012 ◽

2021 ◽

Author(s):

Igor Mozolevski ◽

Marcio A. Murad ◽

Luciane A. Schuh

Keyword(s):

Porous Media ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

High Order ◽

Fractured Porous Media ◽

Flow Models ◽

Reduced Flow

Download Full-text

An improvement of classical slope limiters for high-order discontinuous Galerkin method

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1823 ◽

2009 ◽

Vol 59 (4) ◽

pp. 423-442 ◽

Cited By ~ 10

Author(s):

R. Ghostine ◽

G. Kesserwani ◽

R. Mosé ◽

J. Vazquez ◽

A. Ghenaim

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

High Order ◽

Slope Limiters

Download Full-text

High-Order Navier-Stokes Simulations Using a Sparse Line-Based Discontinuous Galerkin Method

50th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition ◽

10.2514/6.2012-456 ◽

2012 ◽

Cited By ~ 5

Author(s):

Per-Olof Persson

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

High Order ◽

Navier Stokes

Download Full-text