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Michael Dumbser
Michael Dumbser
Professor for Numerical Analysis University of Trento, Italy
Verified email at unitn.it
Title
Cited by
Cited by
Year
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
6522008
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
5262006
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
5232006
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
5032007
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
4222009
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
3832007
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
3662008
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
3642014
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
3482007
Arbitrary high order PNPM schemes on unstructured meshes for the compressible Navier–Stokes equations
M Dumbser
Computers & Fluids 39 (1), 60-76, 2010
2962010
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
2802011
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
2762009
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
2352008
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
2162009
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
2082009
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
2072007
Building blocks for arbitrary high order discontinuous Galerkin schemes
M Dumbser, CD Munz
Journal of Scientific Computing 27, 215-230, 2006
2022006
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
2002016
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
1962016
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
1912010
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