Michael Dumbser
Orcid: 0000-0002-8201-8372
According to our database1,
Michael Dumbser
authored at least 106 papers
between 2006 and 2024.
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on orcid.org
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on d-nb.info
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Bibliography
2024
An exactly curl-free finite-volume scheme for a hyperbolic compressible barotropic two-phase model.
CoRR, 2024
2023
A semi-implicit finite volume scheme for blood flow in elastic and viscoelastic vessels.
J. Comput. Phys., December, 2023
A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume / finite element scheme for the incompressible MHD equations.
J. Comput. Phys., November, 2023
Thermodynamically Compatible Discretization of a Compressible Two-Fluid Model with Two Entropy Inequalities.
J. Sci. Comput., October, 2023
Preface for the special issue "Hyperbolic PDE in computational physics: Advanced mathematical models and structure-preserving numerics".
Appl. Math. Comput., August, 2023
SIAM J. Numer. Anal., February, 2023
An Exactly Curl-Free Staggered Semi-Implicit Finite Volume Scheme for a First Order Hyperbolic Model of Viscous Two-Phase Flows with Surface Tension.
J. Sci. Comput., 2023
A well-balanced discontinuous Galerkin method for the first-order Z4 formulation of the Einstein-Euler system.
CoRR, 2023
CoRR, 2023
High-order ADER Discontinuous Galerkin schemes for a symmetric hyperbolic model of compressible barotropic two-fluid flows.
CoRR, 2023
An implicit staggered hybrid finite volume/finite element solver for the incompressible Navier-Stokes equations.
CoRR, 2023
A staggered semi-implicit hybrid finite volume / finite element scheme for the shallow water equations at all Froude numbers.
CoRR, 2023
An Arbitrary-Lagrangian-Eulerian hybrid finite volume/finite element method on moving unstructured meshes for the Navier-Stokes equations.
Appl. Math. Comput., 2023
A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics.
Appl. Math. Comput., 2023
2022
SIAM J. Sci. Comput., February, 2022
Exact and Numerical Solutions of the Riemann Problem for a Conservative Model of Compressible Two-Phase Flows.
J. Sci. Comput., 2022
An Arbitrary High Order Well-Balanced ADER-DG Numerical Scheme for the Multilayer Shallow-Water Model with Variable Density.
J. Sci. Comput., 2022
A New Family of Thermodynamically Compatible Discontinuous Galerkin Methods for Continuum Mechanics and Turbulent Shallow Water Flows.
J. Sci. Comput., 2022
A first order hyperbolic reformulation of the Navier-Stokes-Korteweg system based on the GPR model and an augmented Lagrangian approach.
J. Comput. Phys., 2022
An exactly curl-free staggered semi-implicit finite volume scheme for a first order hyperbolic model of viscous flow with surface tension.
CoRR, 2022
Continuous finite element subgrid basis functions for Discontinuous Galerkin schemes on unstructured polygonal Voronoi meshes.
CoRR, 2022
2021
SIAM J. Sci. Comput., 2021
A Posteriori Subcell Finite Volume Limiter for General P<sub>NP<sub>M</sub></sub> Schemes: Applications from Gasdynamics to Relativistic Magnetohydrodynamics.
J. Sci. Comput., 2021
On Thermodynamically Compatible Finite Volume Methods and Path-Conservative ADER Discontinuous Galerkin Schemes for Turbulent Shallow Water Flows.
J. Sci. Comput., 2021
On High Order ADER Discontinuous Galerkin Schemes for First Order Hyperbolic Reformulations of Nonlinear Dispersive Systems.
J. Sci. Comput., 2021
High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension.
J. Comput. Phys., 2021
A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics.
J. Comput. Phys., 2021
A semi-implicit hybrid finite volume/finite element scheme for all Mach number flows on staggered unstructured meshes.
Appl. Math. Comput., 2021
2020
A Staggered Semi-implicit Discontinuous Galerkin Scheme with a Posteriori Subcell Finite Volume Limiter for the Euler Equations of Gasdynamics.
J. Sci. Comput., 2020
Space-time adaptive ADER discontinuous Galerkin schemes for nonlinear hyperelasticity with material failure.
J. Comput. Phys., 2020
High order direct Arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes.
J. Comput. Phys., 2020
On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations.
J. Comput. Phys., 2020
A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows.
J. Comput. Phys., 2020
Comput. Phys. Commun., 2020
Modeling solid-fluid transformations in non-Newtonian viscoplastic flows with a unified flow theory.
CoRR, 2020
A posteriori subcell finite volume limiter for general PNPM schemes: applications from gasdynamics to relativistic magnetohydrodynamics.
CoRR, 2020
Curl constraint-preserving reconstruction and the guidance it gives for mimetic scheme design.
CoRR, 2020
High order ADER-DG schemes for the simulation of linear seismic waves induced by nonlinear dispersive free-surface water waves.
CoRR, 2020
A hyperbolic reformulation of the Serre-Green-Naghdi model for general bottom topographies.
CoRR, 2020
A novel staggered semi-implicit space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations.
CoRR, 2020
A simple diffuse interface approach for compressible flows around moving solids of arbitrary shape based on a reduced Baer-Nunziato model.
CoRR, 2020
2019
A simple diffuse interface approach on adaptive Cartesian grids for the linear elastic wave equations with complex topography.
J. Comput. Phys., 2019
Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity.
J. Comput. Phys., 2019
An efficient hyperbolic relaxation system for dispersive non-hydrostatic water waves and its solution with high order discontinuous Galerkin schemes.
J. Comput. Phys., 2019
Studies on the energy and deep memory behaviour of a cache-oblivious, task-based hyperbolic PDE solver.
Int. J. High Perform. Comput. Appl., 2019
On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations.
CoRR, 2019
Comput. Math. Appl., 2019
2018
A Flux Splitting Method for the SHTC Model for High-performance Simulations of Two-phase Flows.
Supercomput. Front. Innov., 2018
Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations: Spectral analysis and computational results.
Numer. Linear Algebra Appl., 2018
Arbitrary high order accurate space-time discontinuous Galerkin finite element schemes on staggered unstructured meshes for linear elasticity.
J. Comput. Phys., 2018
A second-order cell-centered Lagrangian ADER-MOOD finite volume scheme on multidimensional unstructured meshes for hydrodynamics.
J. Comput. Phys., 2018
Efficient Implementation of ADER Discontinuous Galerkin Schemes for a Scalable Hyperbolic PDE Engine.
Axioms, 2018
2017
Central Weighted ENO Schemes for Hyperbolic Conservation Laws on Fixed and Moving Unstructured Meshes.
SIAM J. Sci. Comput., 2017
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.
J. Comput. Phys., 2017
High order ADER schemes for a unified first order hyperbolic formulation of Newtonian continuum mechanics coupled with electro-dynamics.
J. Comput. Phys., 2017
Arbitrary-Lagrangian-Eulerian Discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes.
J. Comput. Phys., 2017
Space-time adaptive ADER-DG schemes for dissipative flows: Compressible Navier-Stokes and resistive MHD equations.
Comput. Phys. Commun., 2017
2016
A Novel Solver for the Generalized Riemann Problem Based on a Simplified LeFloch-Raviart Expansion and a Local Space-Time Discontinuous Galerkin Formulation.
J. Sci. Comput., 2016
An Efficient Quadrature-Free Formulation for High Order Arbitrary-Lagrangian-Eulerian ADER-WENO Finite Volume Schemes on Unstructured Meshes.
J. Sci. Comput., 2016
A staggered space-time discontinuous Galerkin method for the three-dimensional incompressible Navier-Stokes equations on unstructured tetrahedral meshes.
J. Comput. Phys., 2016
High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: Viscous heat-conducting fluids and elastic solids.
J. Comput. Phys., 2016
A simple robust and accurate a posteriori sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes.
J. Comput. Phys., 2016
A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems.
J. Comput. Phys., 2016
A two-dimensional Riemann solver with self-similar sub-structure - Alternative formulation based on least squares projection.
J. Comput. Phys., 2016
Preface to the special issue "Recent Advances in Numerical Methods for Hyperbolic Partial Differential Equations".
Appl. Math. Comput., 2016
Appl. Math. Comput., 2016
A conservative, weakly nonlinear semi-implicit finite volume scheme for the compressible Navier-Stokes equations with general equation of state.
Appl. Math. Comput., 2016
2015
Direct Arbitrary-Lagrangian-Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws.
J. Comput. Phys., 2015
High order cell-centered Lagrangian-type finite volume schemes with time-accurate local time stepping on unstructured triangular meshes.
J. Comput. Phys., 2015
Divergence-free MHD on unstructured meshes using high order finite volume schemes based on multidimensional Riemann solvers.
J. Comput. Phys., 2015
Multidimensional Riemann problem with self-similar internal structure. Part II - Application to hyperbolic conservation laws on unstructured meshes.
J. Comput. Phys., 2015
A high order special relativistic hydrodynamic and magnetohydrodynamic code with space-time adaptive mesh refinement.
Comput. Phys. Commun., 2015
A path-conservative finite volume scheme for compressible multi-phase flows with surface tension.
Appl. Math. Comput., 2015
A New Hllem-Type Riemann Solver for Compressible Multi-phase Flows with Surface Tension.
Proceedings of the 2015 International Conference on Advanced Computing and Applications, 2015
2014
Construction and comparison of parallel implicit kinetic solvers in three spatial dimensions.
J. Comput. Phys., 2014
A posteriori subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws.
J. Comput. Phys., 2014
A direct Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume scheme on unstructured tetrahedral meshes for conservative and non-conservative hyperbolic systems in 3D.
J. Comput. Phys., 2014
Lagrangian ADER-WENO finite volume schemes on unstructured triangular meshes based on genuinely multidimensional HLL Riemann solvers.
J. Comput. Phys., 2014
Multidimensional HLLC Riemann solver for unstructured meshes - With application to Euler and MHD flows.
J. Comput. Phys., 2014
A high order semi-implicit discontinuous Galerkin method for the two dimensional shallow water equations on staggered unstructured meshes.
Appl. Math. Comput., 2014
A staggered semi-implicit discontinuous Galerkin method for the two dimensional incompressible Navier-Stokes equations.
Appl. Math. Comput., 2014
2013
J. Comput. Phys., 2013
Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes - Speed comparisons with Runge-Kutta methods.
J. Comput. Phys., 2013
A staggered semi-implicit spectral discontinuous Galerkin scheme for the shallow water equations.
Appl. Math. Comput., 2013
2012
Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms.
J. Comput. Phys., 2012
2011
J. Sci. Comput., 2011
A Simple Extension of the Osher Riemann Solver to Non-conservative Hyperbolic Systems.
J. Sci. Comput., 2011
Explicit one-step time discretizations for discontinuous Galerkin and finite volume schemes based on local predictors.
J. Comput. Phys., 2011
2009
J. Comput. Phys., 2009
Very high order P<sub>N</sub>P<sub>M</sub> schemes on unstructured meshes for the resistive relativistic MHD equations.
J. Comput. Phys., 2009
Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics.
J. Comput. Phys., 2009
2008
Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes.
J. Comput. Phys., 2008
Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws.
J. Comput. Phys., 2008
A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes.
J. Comput. Phys., 2008
2007
Arbitrary High-Order Discontinuous Galerkin Schemes for the Magnetohydrodynamic Equations.
J. Sci. Comput., 2007
Linearized acoustic perturbation equations for low Mach number flow with variable density and temperature.
J. Comput. Phys., 2007
Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems.
J. Comput. Phys., 2007
Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems.
J. Comput. Phys., 2007
A sub-cell based indicator for troubled zones in RKDG schemes and a novel class of hybrid RKDG+HWENO schemes.
J. Comput. Phys., 2007
On Source Terms and Boundary Conditions Using Arbitrary High Order Discontinuous Galerkin Schemes.
Int. J. Appl. Math. Comput. Sci., 2007
2006
J. Sci. Comput., 2006