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Michael Dumbser

Michael Dumbser

D-Index & Metrics

Engineering and Technology

D-Index
73
Citations
17391
World Ranking
871
National Ranking
16

Overview

Michael Dumbser is affiliated with the University of Trento in Italy and specializes in the field of Engineering, with a primary focus on Computational Mechanics. Their research contributions also extend to Applied Mathematics, Atmospheric Science, Oceanography, and Biomedical Engineering as subfields of study.

The scientist's research covers a range of topics, prominently including Computational Fluid Dynamics and Aerodynamics, Advanced Numerical Methods in Computational Mathematics, Fluid Dynamics and Turbulent Flows, Gas Dynamics and Kinetic Theory, Navier-Stokes equation solutions, Lattice Boltzmann Simulation Studies, and Meteorological Phenomena and Simulations.

Frequent co-authors in their publications include:

  • Saray Busto
  • Ilya Peshkov
  • Evgeniy Romenski
  • Walter Boscheri
  • Laura Río-Martín

Michael Dumbser has published extensively in a number of academic journals and venues. The most frequent publication outlets are:

  • arXiv (Cornell University)
  • Journal of Computational Physics
  • Journal of Scientific Computing
  • Computers & Fluids
  • Communications on Applied Mathematics and Computation

Recent papers illustrate the scope of the scientist's work, including the following:

  • "High Order ADER Schemes for Continuum Mechanics," 2020, Frontiers in Physics
  • "ExaHyPE: An engine for parallel dynamically adaptive simulations of wave problems," 2020, Computer Physics Communications
  • "On High Order ADER Discontinuous Galerkin Schemes for First Order Hyperbolic Reformulations of Nonlinear Dispersive Systems," 2021, Journal of Scientific Computing
  • "A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics," 2020, Journal of Computational Physics
  • "A simple diffuse interface approach for compressible flows around moving solids of arbitrary shape based on a reduced Baer-Nunziato model," 2020, HAL (Le Centre pour la Communication Scientifique Directe)

Best Publications

  • A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes

    Michael Dumbser;Dinshaw S. Balsara;Eleuterio F. Toro;Claus-Dieter Munz

  • Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems

    Michael Dumbser;Martin Käser

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

    Michael Dumbser;Michael Dumbser;Martin Käser

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

    Martin Käser;Michael Dumbser

  • A new 3D parallel SPH scheme for free surface flows

    Angela Ferrari;Michael Dumbser;Eleuterio F. Toro;Aronne Armanini

  • Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems

    Michael Dumbser;Martin Käser;Vladimir A. Titarev;Eleuterio F. Toro

  • Arbitrary high order PNPM schemes on unstructured meshes for the compressible Navier–Stokes equations

    Michael Dumbser;Michael Dumbser

  • A posteriori subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws

    Michael Dumbser;Olindo Zanotti;Raphaël Loubère;Steven Diot

  • Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws

    Michael Dumbser;Cedric Enaux;Eleuterio F. Toro

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

    Michael Dumbser;Michael Dumbser;Martin Käser;Eleuterio F. Toro

  • Very high order PNPM schemes on unstructured meshes for the resistive relativistic MHD equations

    Michael Dumbser;Olindo Zanotti

  • A Simple Extension of the Osher Riemann Solver to Non-conservative Hyperbolic Systems

    Michael Dumbser;Eleuterio F. Toro

  • Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics

    Dinshaw S. Balsara;Tobias Rumpf;Michael Dumbser;Claus-Dieter Munz

  • Runge-Kutta discontinuous Galerkin method using WENO limiters II

    Jun Zhu;Jianxian Qiu;Chi-Wang Shu;Michael Dumbser

  • High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics

    Michael Dumbser;Ilya Peshkov;Evgeniy Romenski;Olindo Zanotti

  • On Universal Osher-Type Schemes for General Nonlinear Hyperbolic Conservation Laws

    Michael Dumbser;Eleuterio F. Toro

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

    Martin Käser;Michael Dumbser;Michael Dumbser;Josep De La Puente;Heiner Igel

  • ADER schemes on unstructured meshes for nonconservative hyperbolic systems: Applications to geophysical flows

    Michael Dumbser;Manuel Castro;Carlos Parés;Eleuterio F. Toro

  • Building Blocks for Arbitrary High Order Discontinuous Galerkin Schemes

    Michael Dumbser;Claus-Dieter Munz

  • A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems

    Michael Dumbser;Dinshaw S. Balsara

  • ADER-WENO finite volume schemes with space-time adaptive mesh refinement

    Michael Dumbser;Olindo Zanotti;Arturo Hidalgo;Dinshaw S. Balsara

Frequent Co-Authors

Claus-Dieter Munz
Claus-Dieter Munz University of Stuttgart
Eleuterio F. Toro
Eleuterio F. Toro University of Trento
Luciano Rezzolla
Luciano Rezzolla Goethe University Frankfurt
Alberto Bellin
Alberto Bellin University of Trento
Heiner Igel
Heiner Igel Ludwig-Maximilians-Universität München
Stefano Serra-Capizzano
Stefano Serra-Capizzano University of Insubria
Giovanni Russo
Giovanni Russo University of Catania
Chi-Wang Shu
Chi-Wang Shu Brown University
Alfredo Bermúdez
Alfredo Bermúdez University of Santiago de Compostela
Volker Springel
Volker Springel Max Planck Institute for Astrophysics

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