A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes M Dumbser, DS Balsara, EF Toro, CD Munz Journal of Computational Physics 227 (18), 8209-8253, 2008 | 658 | 2008 |
An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes—II. The three-dimensional isotropic case M Dumbser, M Käser Geophysical Journal International 167 (1), 319-336, 2006 | 524 | 2006 |
An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes—I. The two-dimensional isotropic case with external source terms M Käser, M Dumbser Geophysical Journal International 166 (2), 855-877, 2006 | 521 | 2006 |
Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems M Dumbser, M Käser Journal of Computational Physics 221 (2), 693-723, 2007 | 506 | 2007 |
A new 3D parallel SPH scheme for free surface flows A Ferrari, M Dumbser, EF Toro, A Armanini Computers & Fluids 38 (6), 1203-1217, 2009 | 428 | 2009 |
Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems M Dumbser, M Käser, VA Titarev, EF Toro Journal of Computational Physics 226 (1), 204-243, 2007 | 384 | 2007 |
Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws M Dumbser, C Enaux, EF Toro Journal of Computational Physics 227 (8), 3971-4001, 2008 | 375 | 2008 |
A posteriori subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws M Dumbser, O Zanotti, R Loubère, S Diot Journal of Computational Physics 278, 47-75, 2014 | 374 | 2014 |
An arbitrary high-order Discontinuous Galerkin method for elastic waves on unstructured meshes - V. Local time stepping and p-adaptivity M Dumbser, M Käser, EF Toro Geophysical Journal International 171 (2), 695-717, 2007 | 346 | 2007 |
Arbitrary high order PNPM schemes on unstructured meshes for the compressible Navier–Stokes equations M Dumbser Computers & Fluids 39 (1), 60-76, 2010 | 297 | 2010 |
A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems M Dumbser, EF Toro Journal of Scientific Computing 48, 70-88, 2011 | 282 | 2011 |
Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics DS Balsara, T Rumpf, M Dumbser, CD Munz Journal of Computational Physics 228 (7), 2480-2516, 2009 | 278 | 2009 |
Runge–Kutta discontinuous Galerkin method using WENO limiters II: unstructured meshes J Zhu, J Qiu, CW Shu, M Dumbser Journal of Computational Physics 227 (9), 4330-4353, 2008 | 237 | 2008 |
Very high order PNPM schemes on unstructured meshes for the resistive relativistic MHD equations M Dumbser, O Zanotti Journal of Computational Physics 228 (18), 6991-7006, 2009 | 217 | 2009 |
ADER schemes on unstructured meshes for nonconservative hyperbolic systems: Applications to geophysical flows M Dumbser, M Castro, C Parés, EF Toro Computers & Fluids 38 (9), 1731-1748, 2009 | 214 | 2009 |
An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes—III. Viscoelastic attenuation M Käser, M Dumbser, J De La Puente, H Igel Geophysical Journal International 168 (1), 224-242, 2007 | 209 | 2007 |
Building blocks for arbitrary high order discontinuous Galerkin schemes M Dumbser, CD Munz Journal of Scientific Computing 27, 215-230, 2006 | 209 | 2006 |
High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids M Dumbser, I Peshkov, E Romenski, O Zanotti Journal of Computational Physics 314, 824-862, 2016 | 203 | 2016 |
A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems M Dumbser, DS Balsara Journal of Computational Physics 304, 275-319, 2016 | 201 | 2016 |
FORCE schemes on unstructured meshes II: Non-conservative hyperbolic systems M Dumbser, A Hidalgo, M Castro, C Parés, EF Toro Computer Methods in Applied Mechanics and Engineering 199 (9-12), 625-647, 2010 | 196 | 2010 |