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Michael Dumbser

Identifiers

  • name variant Michael Dumbser 0.60 · backfill

Papers (52)

  1. On structure-preserving and pointwise conservative continuous DG schemes for hyperbolic systems math.NA · 2026 · author #2
  2. A structure-preserving semi-implicit finite volume scheme on vertex-staggered unstructured meshes math.NA · 2026 · author #3
  3. High order numerical discretizations of the Einstein-Euler equations in the Generalized Harmonic formulation math.NA · 2025 · author #2
  4. Studies on the energy and deep memory behaviour of a cache-oblivious, task-based hyperbolic PDE solver cs.MS · 2018 · author #5
  5. Continuum mechanics with torsion physics.flu-dyn · 2018 · author #3
  6. Efficient implementation of ADER discontinuous Galerkin schemes for a scalable hyperbolic PDE engine math.NA · 2018 · author #1
  7. An efficient semi-implicit method for three-dimensional non-hydrostatic flows in compliant arterial vessels math.NA · 2018 · author #2
  8. A well balanced diffuse interface method for complex nonhydrostatic free surface flows math.NA · 2018 · author #3
  9. Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity physics.flu-dyn · 2018 · author #5
  10. A simple diffuse interface approach on adaptive Cartesian grids for the linear elastic wave equations with complex topography math.NA · 2018 · author #2
  11. Arbitrary high order accurate space-time discontinuous Galerkin finite element schemes on staggered unstructured meshes for linear elasticity math.NA · 2018 · author #2
  12. A divergence-free semi-implicit finite volume scheme for ideal, viscous and resistive magnetohydrodynamics math.NA · 2018 · author #1
  13. ADER discontinuous Galerkin schemes for general-relativistic ideal magnetohydrodynamics physics.comp-ph · 2018 · author #2
  14. Well balanced Arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming meshes for the Euler equations of gasdynamics with gravity math.NA · 2017 · author #3
  15. Conformal and covariant Z4 formulation of the Einstein equations: strongly hyperbolic first-order reduction and solution with discontinuous Galerkin schemes gr-qc · 2017 · author #1
  16. A unified hyperbolic formulation for viscous fluids and elastoplastic solids physics.flu-dyn · 2017 · author #3
  17. Semi-implicit discontinuous Galerkin methods for the incompressible Navier-Stokes equations on adaptive staggered Cartesian grids math.NA · 2016 · author #2
  18. Central WENO schemes for hyperbolic conservation laws on fixed and moving unstructured meshes math.NA · 2016 · author #1
  19. A pressure-based semi-implicit space-time discontinuous Galerkin method on staggered unstructured meshes for the solution of the compressible Navier-Stokes equations at all Mach numbers math.NA · 2016 · author #2
  20. A square entropy stable flux limiter for $P_NP_M$ schemes math.NA · 2016 · author #2
  21. Arbitrary-Lagrangian-Eulerian discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes math.NA · 2016 · author #2
  22. High order ADER schemes for a unified first order hyperbolic formulation of Newtonian continuum mechanics coupled with electro-dynamics physics.flu-dyn · 2016 · author #1
  23. On direct Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes for the HPR model of nonlinear hyperelasticity math.NA · 2016 · author #2
  24. Spectral semi-implicit and space-time discontinuous Galerkin methods for the incompressible Navier-Stokes equations on staggered Cartesian grids math.NA · 2016 · author #2
  25. Direct Arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming unstructured meshes math.NA · 2016 · author #2
  26. A staggered space-time discontinuous Galerkin method for the three-dimensional incompressible Navier-Stokes equations on unstructured tetrahedral meshes math.NA · 2016 · author #2
  27. High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids math.NA · 2015 · author #1
  28. Efficient conservative ADER schemes based on WENO reconstruction and space-time predictor in primitive variables math.NA · 2015 · author #2
  29. Solving the relativistic magnetohydrodynamics equations with ADER discontinuous Galerkin methods, a posteriori subcell limiting and adaptive mesh refinement astro-ph.HE · 2015 · author #3
  30. A staggered space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations on two-dimensional triangular meshes math.NA · 2014 · author #2
  31. Space-time adaptive ADER discontinuous Galerkin finite element schemes with a posteriori sub-cell finite volume limiting math.NA · 2014 · author #3
  32. High order numerical simulations of the Richtmyer Meshkov instability in a relativistic fluid physics.flu-dyn · 2014 · author #2
  33. High Order Cell-Centered Lagrangian-Type Finite Volume Schemes with Time-Accurate Local Time Stepping on Unstructured Triangular Meshes math.NA · 2014 · author #2
  34. A staggered semi-implicit discontinuous Galerkin method for the two dimensional incompressible Navier-Stokes equations math.NA · 2014 · author #2
  35. A Posteriori Subcell Limiting of the Discontinuous Galerkin Finite Element Method for Hyperbolic Conservation Laws math.NA · 2014 · author #1
  36. Arbitrary-Lagrangian-Eulerian ADER-WENO Finite Volume Schemes with Time-Accurate Local Time Stepping for Hyperbolic Conservation Laws math.NA · 2014 · author #1
  37. Lagrangian ADER-WENO Finite Volume Schemes on Unstructured Tetrahedral Meshes for Conservative and Nonconservative Hyperbolic Systems in 3D math.NA · 2014 · author #2
  38. An ADER-WENO Finite Volume AMR code for Astrophysics astro-ph.IM · 2014 · author #2
  39. A high order special relativistic hydrodynamic and magnetohydrodynamic code with space-time adaptive mesh refinement astro-ph.HE · 2013 · author #2
  40. Lagrangian ADER-WENO Finite Volume Schemes on Unstructured Triangular Meshes Based On Genuinely Multidimensional HLL Riemann Solvers math.NA · 2013 · author #3
  41. High Order Lagrangian ADER-WENO Schemes on Unstructured Meshes - Application of Several Node Solvers to Hydrodynamics and Magnetohydrodynamics physics.comp-ph · 2013 · author #2
  42. High Order Space-Time Adaptive WENO Finite Volume Schemes for Non-Conservative Hyperbolic Systems math.NA · 2013 · author #1
  43. High-Order Unstructured Lagrangian One-Step WENO Finite Volume Schemes for Non-Conservative Hyperbolic Systems: Applications to Compressible Multi-Phase Flows math.NA · 2013 · author #1
  44. Arbitrary-Lagrangian-Eulerian One-Step WENO Finite Volume Schemes on Unstructured Triangular Meshes math.NA · 2013 · author #2
  45. ADER-WENO Finite Volume Schemes with Space-Time Adaptive Mesh Refinement math.NA · 2012 · author #1
  46. On Arbitrary-Lagrangian-Eulerian One-Step WENO Schemes for Stiff Hyperbolic Balance Laws math.NA · 2012 · author #1
  47. Numerical simulations of relativistic magnetic reconnection with Galerkin methods astro-ph.HE · 2011 · author #2
  48. Numerical simulations of high Lundquist number relativistic magnetic reconnection astro-ph.HE · 2011 · author #2
  49. Efficient Implementation of ADER Schemes for Euler and Magnetohydrodynamical Flows on Structured Meshes -- Comparison with Runge-Kutta Methods physics.comp-ph · 2010 · author #3
  50. Very High Order $\PNM$ Schemes on Unstructured Meshes for the Resistive Relativistic MHD Equations gr-qc · 2009 · author #1
  51. Efficient, High Accuracy ADER-WENO Schemes for Hydrodynamics and Divergence-Free Magnetohydrodynamics physics.comp-ph · 2008 · author #3
  52. A Sub-Cell Based Indicator for Troubled Zones in RKDG Schemes and a Novel Class of Hybrid RKDG+HWENO Schemes physics.comp-ph · 2004 · author #4

Mentions

  • 1808.03788 #1 · arxiv_oai · confidence 0.70 Michael Dumbser
  • 1808.03785 #2 · arxiv_oai · confidence 0.70 Michael Dumbser
  • 1806.04960 #3 · arxiv_oai · confidence 0.70 Michael Dumbser
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  • 1801.06592 #1 · arxiv_oai · confidence 0.70 Michael Dumbser
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  • 1612.09335 #1 · arxiv_oai · confidence 0.70 Michael Dumbser
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  • 1612.04793 #2 · arxiv_oai · confidence 0.70 Michael Dumbser
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  • 1511.08995 #1 · arxiv_oai · confidence 0.70 Michael Dumbser
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  • 1406.7416 #1 · arxiv_oai · confidence 0.70 Michael Dumbser
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  • 1302.3076 #2 · arxiv_oai · confidence 0.70 Michael Dumbser
  • 1207.6407 #1 · arxiv_oai · confidence 0.70 Michael Dumbser
  • 1504.07458 #3 · backfill · confidence 0.70 Michael Dumbser
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  • 1312.0436 #3 · backfill · confidence 0.70 Michael Dumbser
  • 1310.7256 #2 · backfill · confidence 0.70 Michael Dumbser
  • 1304.5408 #1 · backfill · confidence 0.70 Michael Dumbser
  • 1304.4816 #1 · backfill · confidence 0.70 Michael Dumbser
  • 1302.3076 #2 · backfill · confidence 0.70 Michael Dumbser
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  • 1207.6407 #1 · backfill · confidence 0.70 Michael Dumbser
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Frequent Coauthors