Michael Dumbser

发表

Arbitrary High-Order Discontinuous Galerkin Schemes for the Magnetohydrodynamic Equations

Arne Taube, Michael Dumbser, Dinshaw S. Balsara, 2007, J. Sci. Comput..

A simple diffuse interface approach for compressible flows around moving solids of arbitrary shape based on a reduced Baer-Nunziato model pdf

Michael Dumbser, Friedemann Kemm, Elena Gaburro, 2020, Computers & Fluids.

Preface to the special issue "Recent Advances in Numerical Methods for Hyperbolic Partial Differential Equations"

Michael Dumbser, Gregor Gassner, Sabine Roller, 2016, Appl. Math. Comput..

Arbitrary High Order Finite Volume Schemes on Unstructured Meshes

Michael Dumbser, Claus-Dieter Munz, 2009 .

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

Michael Dumbser, Martin Käser, M. Dumbser, 2007, J. Comput. Phys..

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

Michael Dumbser, Dinshaw S. Balsara, Claus-Dieter Munz, 2008, J. Comput. Phys..

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

Michael Dumbser, Maurizio Tavelli, M. Dumbser, 2016, J. Comput. Phys..

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

Michael Dumbser, Eleuterio F. Toro, Vladimir A. Titarev, 2007, J. Comput. Phys..

A direct Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume scheme on unstructured tetrahedral meshes for conservative and non-conservative hyperbolic systems in 3D

Michael Dumbser, Walter Boscheri, 2014, J. Comput. Phys..

Central Weighted ENO Schemes for Hyperbolic Conservation Laws on Fixed and Moving Unstructured Meshes

Michael Dumbser, Matteo Semplice, Giovanni Russo, 2017, SIAM J. Sci. Comput..

Arbitrary-Lagrangian-Eulerian Discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes

Michael Dumbser, Walter Boscheri, M. Dumbser, 2016, J. Comput. Phys..

High order direct Arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes

Michael Dumbser, Elena Gaburro, Christian Klingenberg, 2019, J. Comput. Phys..

High Order ADER Schemes for Continuum Mechanics

Michael Dumbser, Elena Gaburro, Simone Chiocchetti, 2020, Frontiers in Physics.

High order ADER schemes for a unified first order hyperbolic formulation of Newtonian continuum mechanics coupled with electro-dynamics

Michael Dumbser, Ilya Peshkov, Evgeniy Romenski, 2016, J. Comput. Phys..

Space-time adaptive ADER discontinuous Galerkin schemes for nonlinear hyperelasticity with material failure pdf

Michael Dumbser, Alice-Agnes Gabriel, Maurizio Tavelli, 2020, J. Comput. Phys..

On numerical methods for hyperbolic PDE with curl involutions pdf

Michael Dumbser, Simone Chiocchetti, Ilya Peshkov, 2020, Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy.

FORCE schemes on unstructured meshes I: Conservative hyperbolic systems

Michael Dumbser, Eleuterio F. Toro, Arturo Hidalgo, 2009, J. Comput. Phys..

Divergence-free MHD on unstructured meshes using high order finite volume schemes based on multidimensional Riemann solvers

Michael Dumbser, Dinshaw S. Balsara, D. Balsara, 2015, J. Comput. Phys..

Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity

Michael Dumbser, Raphaël Loubère, Walter Boscheri, 2018, J. Comput. Phys..

A simple robust and accurate a posteriori sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes

Michael Dumbser, Raphaël Loubère, M. Dumbser, 2016, J. Comput. Phys..

A Posteriori Subcell Finite Volume Limiter for General PNPM\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$P_NP_M$$\en pdf

Michael Dumbser, Elena Gaburro, M. Dumbser, 2020, Journal of Scientific Computing.

Linearized acoustic perturbation equations for low Mach number flow with variable density and temperature

Michael Dumbser, Claus-Dieter Munz, Sabine Roller, 2007, J. Comput. Phys..

A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics

Michael Dumbser, Walter Boscheri, Ilya Peshkov, 2020, J. Comput. Phys..

On Source Terms and Boundary Conditions Using Arbitrary High Order Discontinuous Galerkin Schemes

Michael Dumbser, Claus-Dieter Munz, M. Dumbser, 2007, Int. J. Appl. Math. Comput. Sci..

ADER Schemes for Nonlinear Systems of Stiff Advection–Diffusion–Reaction Equations

Michael Dumbser, Arturo Hidalgo, M. Dumbser, 2011, J. Sci. Comput..

A Novel Staggered Semi-implicit Space-Time Discontinuous Galerkin Method for the Incompressible Navier-Stokes Equations pdf

Michael Dumbser, Maurizio Tavelli, Francesco Lohengrin Romeo, 2020, Communications on Applied Mathematics and Computation.

On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations

Michael Dumbser, Elena Gaburro, Francesco Fambri, 2020, J. Comput. Phys..

A space-time discontinuous Galerkin method for Boussinesq-type equations

Michael Dumbser, M. Facchini, M. Dumbser, 2016, Appl. Math. Comput..

An efficient hyperbolic relaxation system for dispersive non-hydrostatic water waves and its solution with high order discontinuous Galerkin schemes

Michael Dumbser, Manuel Jesús Castro Díaz, Cipriano Escalante, 2019, J. Comput. Phys..

Construction and comparison of parallel implicit kinetic solvers in three spatial dimensions

Michael Dumbser, Vladimir A. Titarev, Sergey V. Utyuzhnikov, 2014, J. Comput. Phys..

A path-conservative finite volume scheme for compressible multi-phase flows with surface tension

Michael Dumbser, Nguyen T. Nguyen, M. Dumbser, 2015, Appl. Math. Comput..

A staggered semi-implicit spectral discontinuous Galerkin scheme for the shallow water equations

Michael Dumbser, Vincenzo Casulli, M. Dumbser, 2013, Appl. Math. Comput..

High order cell-centered Lagrangian-type finite volume schemes with time-accurate local time stepping on unstructured triangular meshes

Michael Dumbser, Walter Boscheri, Olindo Zanotti, 2014, J. Comput. Phys..

Arbitrary high order accurate space-time discontinuous Galerkin finite element schemes on staggered unstructured meshes for linear elasticity

Michael Dumbser, Maurizio Tavelli, M. Dumbser, 2018, J. Comput. Phys..

A staggered semi-implicit discontinuous Galerkin method for the two dimensional incompressible Navier-Stokes equations

Michael Dumbser, Maurizio Tavelli, M. Dumbser, 2014, Appl. Math. Comput..

A Flux Splitting Method for the SHTC Model for High-performance Simulations of Two-phase Flows

Michael Dumbser, M. N. Petrov, Evgeniy Romenski, 2018, Supercomput. Front. Innov..

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

Michael Dumbser, Eleuterio F. Toro, E. Toro, 2011, J. Sci. Comput..

FORCE schemes on moving unstructured meshes for hyperbolic systems

Michael Dumbser, Walter Boscheri, Maurizio Righetti, 2019, Comput. Math. Appl..

Efficient Implementation of ADER Discontinuous Galerkin Schemes for a Scalable Hyperbolic PDE Engine

Michael Dumbser, Michael Bader, Tobias Weinzierl, 2018, Axioms.

Heterogeneous Domain Decomposition for CAA

Michael Dumbser, Claus-Dieter Munz, Jens Utzmann, 2005 .

Solving Hyperbolic PDE Systems with ExaHyPE

Michael Dumbser, Leonhard Rannabauer, Alice-Agnes Gabriel, 2020 .

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

Michael Dumbser, Raphaël Loubère, Steven Diot, 2014, J. Comput. Phys..

A hyperbolic reformulation of the Serre-Green-Naghdi model for general bottom topographies pdf

Michael Dumbser, Luca Bonaventura, Caterina Bassi, 2020, Computers & Fluids.

ADER discontinuous Galerkin schemes for aeroacoustics

Michael Dumbser, Claus-Dieter Munz, M. Dumbser, 2005 .

Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems

Michael Dumbser, Maurizio Tavelli, Walter Boscheri, 2019, Computers & Fluids.

A New Hllem-Type Riemann Solver for Compressible Multi-phase Flows with Surface Tension

Michael Dumbser, Nguyen T. Nguyen, M. Dumbser, 2015, 2015 International Conference on Advanced Computing and Applications (ACOMP).

High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension pdf

Michael Dumbser, Simone Chiocchetti, Sergey Gavrilyuk, 2020, J. Comput. Phys..

Staggered discontinuous Galerkin methods for the incompressible Navier–Stokes equations: Spectral analysis and computational results

Michael Dumbser, Stefano Serra Capizzano, Mariarosa Mazza, 2016, Numer. Linear Algebra Appl..

Aeroacoustic Simulations for Complex Geometries based on Hybrid Meshes

Michael Dumbser, Claus-Dieter Munz, Frieder Lörcher, 2006 .

Modeling solid-fluid transformations in non-Newtonian viscoplastic flows with a unified flow theory pdf

Michael Dumbser, Walter Boscheri, Simone Chiocchetti, 2020, ArXiv.

Space-time adaptive ADER-DG schemes for dissipative flows: Compressible Navier-Stokes and resistive MHD equations

Michael Dumbser, Olindo Zanotti, Francesco Fambri, 2016, Comput. Phys. Commun..

Curl constraint-preserving reconstruction and the guidance it gives for mimetic scheme design pdf

Michael Dumbser, Dinshaw S. Balsara, Walter Boscheri, 2020, ArXiv.

A Novel Solver for the Generalized Riemann Problem Based on a Simplified LeFloch–Raviart Expansion and a Local Space–Time Discontinuous Galerkin Formulation

Michael Dumbser, Claus R. Goetz, M. Dumbser, 2016, J. Sci. Comput..

Runge-Kutta Discontinuous Galerkin Method Using WENO Limiters

Michael Dumbser, Jun Zhu, Chi-Wang Shu, 2005, SIAM J. Sci. Comput..

A staggered space-time discontinuous Galerkin method for the three-dimensional incompressible Navier-Stokes equations on unstructured tetrahedral meshes

Michael Dumbser, Maurizio Tavelli, M. Dumbser, 2016, J. Comput. Phys..

Preface to the special issue “Recent progress in numerical methods for nonlinear time-dependent flow & transport problems”

Michael Dumbser, Richard Saurel, Vladimir Titarev, 2018, Computers & Fluids.

High order ADER-DG schemes for the simulation of linear seismic waves induced by nonlinear dispersive free-surface water waves pdf

Michael Dumbser, Caterina Bassi, Saray Busto, 2020, Applied Numerical Mathematics.

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

Michael Dumbser, Dinshaw S. Balsara, D. Balsara, 2016, J. Comput. Phys..

ExaHyPE: An Engine for Parallel Dynamically Adaptive Simulations of Wave Problems

Michael Dumbser, Kenneth Duru, Leonhard Rannabauer, 2019, Comput. Phys. Commun..

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

Michael Dumbser, Dinshaw S. Balsara, Olindo Zanotti, 2012, J. Comput. Phys..

Explicit one-step time discretizations for discontinuous Galerkin and finite volume schemes based on local predictors

Michael Dumbser, Claus-Dieter Munz, Gregor Gassner, 2011, J. Comput. Phys..

A high order semi-implicit discontinuous Galerkin method for the two dimensional shallow water equations on staggered unstructured meshes

Michael Dumbser, Maurizio Tavelli, M. Dumbser, 2014, Appl. Math. Comput..

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

Michael Dumbser, Dinshaw S. Balsara, Claus-Dieter Munz, 2008, Journal of Computational Physics.

A well balanced diffuse interface method for complex nonhydrostatic free surface flows

Michael Dumbser, Elena Gaburro, Manuel J. Castro, 2018, Computers & Fluids.

Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms

Michael Dumbser, Eleuterio F. Toro, Gino I. Montecinos, 2012, J. Comput. Phys..

A second-order cell-centered Lagrangian ADER-MOOD finite volume scheme on multidimensional unstructured meshes for hydrodynamics

Michael Dumbser, Raphaël Loubère, Pierre-Henri Maire, 2018, J. Comput. Phys..

A conservative, weakly nonlinear semi-implicit finite volume scheme for the compressible Navier-Stokes equations with general equation of state

Michael Dumbser, Vincenzo Casulli, M. Dumbser, 2016, Appl. Math. Comput..

High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: Viscous heat-conducting fluids and elastic solids

Michael Dumbser, Ilya Peshkov, Evgeniy Romenski, 2015, J. Comput. Phys..

A p-Adaptive Discontinuous Galerkin Method with Local Time Steps for Computational Seismology

Michael Dumbser, Martin Käser, M. Dumbser, 2009 .

Multidimensional HLLC Riemann solver for unstructured meshes - With application to Euler and MHD flows

Rémi Abgrall, Michael Dumbser, Dinshaw S. Balsara, 2014, J. Comput. Phys..

Local Time-Stepping for Explicit Discontinuous Galerkin Schemes

Michael Dumbser, Claus-Dieter Munz, Florian Hindenlang, 2011 .

An ADER-WENO Finite Volume AMR code for Astrophysics

Michael Dumbser, Arturo Hidalgo, Olindo Zanotti, 2014 .

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

Michael Dumbser, Olindo Zanotti, M. Dumbser, 2009, J. Comput. Phys..

A Staggered Semi-implicit Discontinuous Galerkin Scheme with a Posteriori Subcell Finite Volume Limiter for the Euler Equations of Gasdynamics

Michael Dumbser, Raphaël Loubère, Matteo Ioriatti, 2020, J. Sci. Comput..

ADER-DG with a-posteriori finite-volume limiting to simulate tsunamis in a parallel adaptive mesh refinement framework

Michael Dumbser, Leonhard Rannabauer, Michael Bader, 2018, Computers & Fluids.

A simple diffuse interface approach on adaptive Cartesian grids for the linear elastic wave equations with complex topography

Michael Dumbser, Leonhard Rannabauer, Michael Bader, 2018, J. Comput. Phys..

Multidimensional Riemann problem with self-similar internal structure. Part II - Application to hyperbolic conservation laws on unstructured meshes

Michael Dumbser, Dinshaw S. Balsara, D. Balsara, 2015, J. Comput. Phys..

Building Blocks for Arbitrary High Order Discontinuous Galerkin Schemes

Michael Dumbser, Claus-Dieter Munz, M. Dumbser, 2006, J. Sci. Comput..

Heterogeneous Domain Decomposition for Numerical Aeroacoustics

Michael Dumbser, Claus-Dieter Munz, Jens Utzmann, 2006 .

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

Michael Dumbser, Eleuterio F. Toro, Cedric Enaux, 2008, J. Comput. Phys..

A sub-cell based indicator for troubled zones in RKDG schemes and a novel class of hybrid RKDG+HWENO schemes

Michael Dumbser, Dinshaw S. Balsara, Claus-Dieter Munz, 2004, J. Comput. Phys..

Direct Arbitrary-Lagrangian-Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws

Michael Dumbser, Raphaël Loubère, Walter Boscheri, 2015, J. Comput. Phys..

Studies on the energy and deep memory behaviour of a cache-oblivious, task-based hyperbolic PDE solver

Michael Dumbser, Tobias Weinzierl, Alexander Moskovsky, 2019, Int. J. High Perform. Comput. Appl..

Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes - Speed comparisons with Runge-Kutta methods

Michael Dumbser, Dinshaw S. Balsara, Zhiliang Xu, 2013, J. Comput. Phys..

A high order special relativistic hydrodynamic and magnetohydrodynamic code with space-time adaptive mesh refinement

Michael Dumbser, Olindo Zanotti, M. Dumbser, 2013, Comput. Phys. Commun..

An Efficient Quadrature-Free Formulation for High Order Arbitrary-Lagrangian–Eulerian ADER-WENO Finite Volume Schemes on Unstructured Meshes

Michael Dumbser, Walter Boscheri, 2016, J. Sci. Comput..

A two-dimensional Riemann solver with self-similar sub-structure - Alternative formulation based on least squares projection

Michael Dumbser, Dinshaw S. Balsara, Edouard Audit, 2016, J. Comput. Phys..

A New Parallel SPH Method for 3D Free Surface Flows

Michael Dumbser, Eleuterio F. Toro, Aronne Armanini, 2010 .

Advances in the Computational Aeroacoustics with the Discontinuous Galerkin Solver NoisSol

Michael Dumbser, Claus-Dieter Munz, Andreas Birkefeld, 2010 .

Lagrangian ADER-WENO finite volume schemes on unstructured triangular meshes based on genuinely multidimensional HLL Riemann solvers

Michael Dumbser, Dinshaw S. Balsara, Walter Boscheri, 2013, J. Comput. Phys..

A new class of Moving-Least-Squares WENO-SPH schemes

Michael Dumbser, Diego Avesani, Alberto Bellin, 2014, J. Comput. Phys..

A well balanced finite volume scheme for general relativity

Michael Dumbser, Manuel Jesús Castro Díaz, Elena Gaburro, 2021, SIAM J. Sci. Comput..

An alternative SPH formulation: ADER-WENO-SPH

Michael Dumbser, Diego Avesani, Maurizio Righetti, 2021 .

Curl Constraint-Preserving Reconstruction and the Guidance it Gives for Mimetic Scheme Design pdf

Michael Dumbser, Dinshaw S. Balsara, Walter Boscheri, 2020, Communications on Applied Mathematics and Computation.

On Thermodynamically Compatible Finite Volume Methods and Path-Conservative ADER Discontinuous Galerkin Schemes for Turbulent Shallow Water Flows

Michael Dumbser, Saray Busto, Kseniya Ivanova, 2021, Journal of Scientific Computing.

Arbitrary high order central non-oscillatory schemes on mixed-element unstructured meshes

Michael Dumbser, Panagiotis Tsoutsanis, M. Dumbser, 2021, Computers & Fluids.

A Massively Parallel Hybrid Finite Volume/Finite Element Scheme for Computational Fluid Dynamics

Michael Dumbser, Saray Busto, Laura Río-Martín, 2021, Mathematics.

An Arbitrary High Order Well-Balanced ADER-DG Numerical Scheme for the Multilayer Shallow-Water Model with Variable Density

Michael Dumbser, Manuel Jesús Castro Díaz, Tomás Morales de Luna, 2021, J. Sci. Comput..

Structure-Preserving Discretizations for Nonlinear Systems of Hyperbolic, Involution-Constrained Partial Differential Equations on Manifolds

Michael Dumbser, Bruno Després, Christian Klingenberg, 2021, Oberwolfach Reports.

High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension

Michael Dumbser, Simone Chiocchetti, Sergey Gavrilyuk, 2020, J. Comput. Phys..

A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics

Michael Dumbser, Walter Boscheri, Ilya Peshkov, 2020, J. Comput. Phys..

A semi-implicit hybrid finite volume/finite element scheme for all Mach number flows on staggered unstructured meshes

Michael Dumbser, Saray Busto, M. Elena Vázquez-Cendón, 2021, Appl. Math. Comput..

On High Order ADER Discontinuous Galerkin Schemes for First Order Hyperbolic Reformulations of Nonlinear Dispersive Systems

Michael Dumbser, Nicolas Favrie, Cipriano Escalante, 2021, Journal of Scientific Computing.

Efficient conservative ADER schemes based on WENO reconstruction and space-time predictor in primitive variables

Michael Dumbser, Olindo Zanotti, M. Dumbser, 2015, Computational astrophysics and cosmology.

A new 3D parallel SPH scheme for free surface flows

Michael Dumbser, Eleuterio F. Toro, Aronne Armanini, 2009 .

PNPM SCHEMES ON UNSTRUCTURED MESHES FOR TIME-DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS

Michael Dumbser, M. Dumbser, 2011 .

A staggered space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations on two-dimensional triangular meshes

Michael Dumbser, Maurizio Tavelli, M. Dumbser, 2014, 1412.1260.

Seismic wave field modelling using high performance computing

Michael Dumbser, Verena Hermann, M. Dumbser, 2008 .

Submerged granular channel flows driven by gravity

Michael Dumbser, Michele Larcher, Aronne Armanini, 2014 .

The Derivative Riemann Problem: The basis for high order ADER Schemes

Michael Dumbser, Eleuterio F. Toro, Martin Käser, 2006 .

Implicit multiblock method for solving a kinetic equation on unstructured meshes

Michael Dumbser, Sergei Utyuzhnikov, Vladimir Titarev, 2013 .

Arbitrary-Lagrangian-Eulerian One-Step WENO Finite Volume Schemes on Unstructured Triangular Meshes

Michael Dumbser, Walter Boscheri, M. Dumbser, 2013, 1302.3076.

Well-balanced Arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming meshes for the Euler equations of gas dynamics with gravity

Michael Dumbser, Elena Gaburro, Manuel J. Castro, 2017, 1712.07765.

The role of 3D-hydraulics in habitat modelling of hydropeaking events.

Michael Dumbser, Matthias Schneider, Valentina Cavedon, 2017, The Science of the total environment.

High-Order Unstructured One-Step PNPM Schemes for the Viscous and Resistive MHD Equations

Michael Dumbser, Dinshaw S. Balsara, D. Balsara, 2009 .

Arbitrary-Lagrangian–Eulerian ADER–WENO finite volume schemes with time-accurate local time stepping for hyperbolic conservation laws

Michael Dumbser, M. Dumbser, 2014, 1402.6897.

A simple two-phase method for the simulation of complex free surface flows

Michael Dumbser, M. Dumbser, 2011 .

A unified hyperbolic formulation for viscous fluids and elastoplastic solids

Michael Dumbser, Ilya Peshkov, Evgeniy Romenski, 2016, 1705.02151.

Reprint of: Direct Arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming unstructured meshes

Michael Dumbser, Elena Gaburro, Manuel J. Castro, 2016, Computers & Fluids.

Spectral semi-implicit and space-time discontinuous Galerkin methods for the incompressible Navier-Stokes equations on staggered Cartesian grids

Michael Dumbser, Francesco Fambri, M. Dumbser, 2016, 1602.05806.

Space–time adaptive ADER discontinuous Galerkin finite element schemes with a posteriori sub-cell finite volume limiting

Michael Dumbser, Arturo Hidalgo, Olindo Zanotti, 2014, 1412.0081.

Well-Balanced High-Order Centred Schemes for Non-Conservative Hyperbolic Systems. Applications to Shallow Water Equations with Fixed and Mobile Bed

Michael Dumbser, Eleuterio F. Toro, Annunziato Siviglia, 2009 .

Solving the relativistic magnetohydrodynamics equations with ADER discontinuous Galerkin methods, a posteriori subcell limiting and adaptive mesh refinement

Michael Dumbser, Olindo Zanotti, Francesco Fambri, 2015, 1504.07458.

A diffuse interface method for complex three-dimensional free surface flows

Michael Dumbser, M. Dumbser, 2013 .

ADER discontinuous Galerkin schemes for general-relativistic ideal magnetohydrodynamics

Michael Dumbser, Luciano Rezzolla, Olindo Zanotti, 2018, 1801.02839.

An efficient semi-implicit method for three-dimensional non-hydrostatic flows in compliant arterial vessels.

Michael Dumbser, Vincenzo Casulli, Francesco Fambri, 2014, International journal for numerical methods in biomedical engineering.

Semi-implicit discontinuous Galerkin methods for the incompressible Navier–Stokes equations on adaptive staggered Cartesian grids

Michael Dumbser, Francesco Fambri, M. Dumbser, 2016, 1612.09558.

A highly accurate discontinuous Galerkin method for complex interfaces between solids and moving fluids

Michael Dumbser, Martin Käser, M. Dumbser, 2008 .

High resolution methods for scalar transport problems in compliant systems of arteries

Michael Dumbser, Maurizio Tavelli, Vincenzo Casulli, 2013 .

High order accurate direct Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes on moving curvilinear unstructured meshes

Michael Dumbser, Walter Boscheri, M. Dumbser, 2016 .

Calculation of low Mach number acoustics : a comparison of MPV, EIF and linearized Euler equations

Michael Dumbser, Claus-Dieter Munz, Sabine Roller, 2005 .

Three-dimensional flow evolution after a dam break

Michael Dumbser, Eleuterio F. Toro, Aronne Armanini, 2010, Journal of Fluid Mechanics.

The discontinuous Galerkin method with Lax-Wendroff type time discretizations

Michael Dumbser, Jianxian Qiu, Chi-Wang Shu, 2005 .

Numerical simulations of high Lundquist number relativistic magnetic reconnection

Michael Dumbser, Olindo Zanotti, M. Dumbser, 2011, 1103.5924.

A strongly hyperbolic first-order CCZ4 formulation of the Einstein equations and its solution with discontinuous Galerkin schemes

Michael Dumbser, Federico Guercilena, Luciano Rezzolla, 2017 .

A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws

Michael Dumbser, Raphaël Loubère, Steven Diot, 2014 .

An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes - IV. Anisotropy

Michael Dumbser, Martin Käser, Heiner Igel, 2007 .

Arbitrary high-order finite volume schemes for seismic wave propagation on unstructured meshes in 2D and 3D

Michael Dumbser, Martin Käser, Josep de la Puente, 2007 .

Arbitrary high order finite volume schemes for linear wave propagation

Michael Dumbser, Claus-Dieter Munz, Thomas Schwartzkopff, 2006 .

A high-order discontinuous Galerkin method with time-accurate local time stepping for the Maxwell equations

Arne Taube, Michael Dumbser, Claus-Dieter Munz, 2009 .

A matrix stability analysis of the carbuncle phenomenon

Michael Dumbser, Jean-Marc Moschetta, Jérémie Gressier, 2004 .

Central WENO Subcell Finite Volume Limiters for ADER Discontinuous Galerkin Schemes on Fixed and Moving Unstructured Meshes

Michael Dumbser, Matteo Semplice, Walter Boscheri, 2019, Communications in Computational Physics.

Accurate Calculation of Fault-Rupture Models Using the High-Order Discontinuous Galerkin Method on Tetrahedral Meshes

Michael Dumbser, Martin Käser, P. Martin Mai, 2007 .

A novel numerical method of high‐order accuracy for flow in unsaturated porous media

Michael Dumbser, Eleuterio F. Toro, N. O. Moraga, 2012 .

A family of HLL-type solvers for the generalized Riemann problem

Michael Dumbser, Dinshaw S. Balsara, Claus R. Goetz, 2017, Computers & Fluids.

High‐order ADER‐WENO ALE schemes on unstructured triangular meshes—application of several node solvers to hydrodynamics and magnetohydrodynamics

Michael Dumbser, Walter Boscheri, Dinshaw Balsara, 2013, 1310.7256.

Continuum mechanics with torsion

Michael Dumbser, Ilya Peshkov, Evgeniy Romenski, 2018, Continuum Mechanics and Thermodynamics.

Fluid-Acoustic Coupling and Wave Propagation

Michael Dumbser, Claus-Dieter Munz, Eric Sonnendrücker, 2009 .

Discontinuous Galerkin methods for wave propagation in poroelastic media

Michael Dumbser, Martin Käser, Heiner Igel, 2008 .

On Arbitrary-Lagrangian-Eulerian One-Step WENO Schemes for Stiff Hyperbolic Balance Laws

Michael Dumbser, Olindo Zanotti, Ariunaa Uuriintsetseg, 2012, 1207.6407.

Efficient implementation of high order unstructured WENO schemes for cavitating flows

Michael Dumbser, Claus-Dieter Munz, Uwe Iben, 2013 .

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

Michael Dumbser, Eleuterio F. Toro, E. Toro, 2011 .

Semi-implicit numerical modeling of axially symmetric flows in compliant arterial systems.

Michael Dumbser, Vincenzo Casulli, Eleuterio F Toro, 2012, International journal for numerical methods in biomedical engineering.

A semi‐implicit scheme for 3D free surface flows with high‐order velocity reconstruction on unstructured Voronoi meshes

Michael Dumbser, Walter Boscheri, Maurizio Righetti, 2013 .

High-order finite volume schemes based on defect corrections

Michael Dumbser, Claus-Dieter Munz, Alexander Filimon, 2013 .

Fast high order ADER schemes for linear hyperbolic equations

Michael Dumbser, Claus-Dieter Munz, Thomas Schwartzkopff, 2004 .

Cell centered direct Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes for nonlinear hyperelasticity

Michael Dumbser, Raphaël Loubère, Walter Boscheri, 2016 .

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

Michael Dumbser, M. Dumbser, 2010 .

Numerical simulations of solute transport in highly heterogeneous formations: A comparison of alternative numerical schemes

Michael Dumbser, Alberto Bellin, Francesca Boso, 2013 .