Michael Dumbser

ORCID

Publication Activity (10 Years)

Years Active: 2006-2024
Publications (10 Years): 89

Top Venues

Publications

Michael Dumbser, Olindo Zanotti, Gabriella Puppo
A monolithic first-order BSSNOK formulation of the Einstein-Euler equations and its solution with path-conservative finite difference CWENO schemes. CoRR (2024)
Michael Dumbser, Olindo Zanotti, Ilya Peshkov
High order discontinuous Galerkin schemes with subcell finite volume limiter and AMR for a monolithic first-order BSSNOK formulation of the Einstein-Euler equations. CoRR (2024)
Walter Boscheri, Michael Dumbser, Pierre-Henri Maire
A New Thermodynamically Compatible Finite Volume Scheme for Lagrangian Gas Dynamics. SIAM J. Sci. Comput. 46 (4) (2024)
Laura Río-Martín, Firas Dhaouadi, Michael Dumbser
An exactly curl-free finite-volume scheme for a hyperbolic compressible barotropic two-phase model. CoRR (2024)
Enrico Zampa, Michael Dumbser
An asymptotic-preserving and exactly mass-conservative semi-implicit scheme for weakly compressible flows based on compatible finite elements. CoRR (2024)
Michael Dumbser, Olindo Zanotti, Elena Gaburro, Ilya Peshkov
A well-balanced discontinuous Galerkin method for the first-order Z4 formulation of the Einstein-Euler system. J. Comput. Phys. 504 (2024)
Walter Boscheri, Saray Busto, Michael Dumbser
An all Mach number semi-implicit hybrid Finite Volume/Virtual Element method for compressible viscous flows on Voronoi meshes. CoRR (2024)
Davide Ferrari, Ilya Peshkov, Evgeniy I. Romenski, Michael Dumbser
A unified SHTC multiphase model of continuum mechanics. CoRR (2024)
Dinshaw S. Balsara, Deepak Bhoriya, Olindo Zanotti, Michael Dumbser
Well-balanced high order finite difference WENO schemes for a first-order Z4 formulation of the Einstein field equations. CoRR (2024)
Saray Busto, Laura Río-Martín, María Elena Vázquez-Cendón, Michael Dumbser
A semi-implicit hybrid finite volume / finite element scheme for all Mach number flows on staggered unstructured meshes. CoRR (2023)
Saray Busto, Michael Dumbser
A new thermodynamically compatible finite volume scheme for magnetohydrodynamics. CoRR (2023)
Laura Río-Martín, Michael Dumbser
High-order ADER Discontinuous Galerkin schemes for a symmetric hyperbolic model of compressible barotropic two-fluid flows. CoRR (2023)
Alessia Lucca, Saray Busto, Lucas O. Müller, Eleuterio F. Toro, Michael Dumbser
A semi-implicit finite volume scheme for blood flow in elastic and viscoelastic vessels. J. Comput. Phys. 495 (2023)
Simone Chiocchetti, Michael Dumbser
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. 94 (1) (2023)
Saray Busto, Michael Dumbser, L. Río-Martín
An Arbitrary-Lagrangian-Eulerian hybrid finite volume/finite element method on moving unstructured meshes for the Navier-Stokes equations. Appl. Math. Comput. 437 (2023)
Michael Dumbser, Olindo Zanotti, Elena Gaburro, Ilya Peshkov
A well-balanced discontinuous Galerkin method for the first-order Z4 formulation of the Einstein-Euler system. CoRR (2023)
Saray Busto, Michael Dumbser, Laura Río-Martín
An Arbitrary-Lagrangian-Eulerian hybrid finite volume/finite element method on moving unstructured meshes for the Navier-Stokes equations. CoRR (2023)
Michael Dumbser, Saray Busto, M. Elena Vázquez-Cendón, Ilya Peshkov
Preface for the special issue "Hyperbolic PDE in computational physics: Advanced mathematical models and structure-preserving numerics". Appl. Math. Comput. 450 (2023)
Saray Busto, Michael Dumbser
A New Thermodynamically Compatible Finite Volume Scheme for Magnetohydrodynamics. SIAM J. Numer. Anal. 61 (1) (2023)
Saray Busto, Michael Dumbser
A staggered semi-implicit hybrid finite volume / finite element scheme for the shallow water equations at all Froude numbers. CoRR (2023)
Walter Boscheri, Michael Dumbser, Pierre-Henri Maire
A new thermodynamically compatible finite volume scheme for Lagrangian gas dynamics. CoRR (2023)
Saray Busto, Michael Dumbser, Ilya Peshkov, Evgeniy I. Romenski
On thermodynamically compatible finite volume schemes for continuum mechanics. CoRR (2023)
Rémi Abgrall, Saray Busto, Michael Dumbser
A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics. Appl. Math. Comput. 440 (2023)
Francesco Fambri, E. Zampa, Saray Busto, Laura Río-Martín, Florian Hindenlang, Eric Sonnendrücker, Michael Dumbser
A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume/finite element scheme for the incompressible MHD equations. CoRR (2023)
Andrea Thomann, Michael Dumbser
Thermodynamically Compatible Discretization of a Compressible Two-Fluid Model with Two Entropy Inequalities. J. Sci. Comput. 97 (1) (2023)
Alessia Lucca, Saray Busto, Michael Dumbser
An implicit staggered hybrid finite volume/finite element solver for the incompressible Navier-Stokes equations. CoRR (2023)
Francesco Fambri, E. Zampa, Saray Busto, Laura Río-Martín, Florian Hindenlang, Eric Sonnendrücker, Michael Dumbser
A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume / finite element scheme for the incompressible MHD equations. J. Comput. Phys. 493 (2023)
Walter Boscheri, Michael Dumbser, Elena Gaburro
Continuous finite element subgrid basis functions for Discontinuous Galerkin schemes on unstructured polygonal Voronoi meshes. CoRR (2022)
Saray Busto, Michael Dumbser
A New Family of Thermodynamically Compatible Discontinuous Galerkin Methods for Continuum Mechanics and Turbulent Shallow Water Flows. J. Sci. Comput. 93 (2) (2022)
Saray Busto, Michael Dumbser, Ilya Peshkov, Evgeniy I. Romenski
On Thermodynamically Compatible Finite Volume Schemes for Continuum Mechanics. SIAM J. Sci. Comput. 44 (1) (2022)
Simone Chiocchetti, Michael Dumbser
An exactly curl-free staggered semi-implicit finite volume scheme for a first order hyperbolic model of viscous flow with surface tension. CoRR (2022)
Firas Dhaouadi, Michael Dumbser
A first order hyperbolic reformulation of the Navier-Stokes-Korteweg system based on the GPR model and an augmented Lagrangian approach. J. Comput. Phys. 470 (2022)
Ferdinand Thein, Evgeniy I. Romenski, Michael Dumbser
Exact and Numerical Solutions of the Riemann Problem for a Conservative Model of Compressible Two-Phase Flows. J. Sci. Comput. 93 (3) (2022)
Ernesto Guerrero Fernández, Manuel Jesús Castro Díaz, Michael Dumbser, Tomás Morales de Luna
An Arbitrary High Order Well-Balanced ADER-DG Numerical Scheme for the Multilayer Shallow-Water Model with Variable Density. J. Sci. Comput. 90 (1) (2022)
Saray Busto, Michael Dumbser, Sergey L. Gavrilyuk, Kseniya Ivanova
On Thermodynamically Compatible Finite Volume Methods and Path-Conservative ADER Discontinuous Galerkin Schemes for Turbulent Shallow Water Flows. J. Sci. Comput. 88 (1) (2021)
Walter Boscheri, Michael Dumbser, Matteo Ioriatti, Ilya Peshkov, Evgeniy I. Romenski
A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics. J. Comput. Phys. 424 (2021)
Saray Busto, L. Río-Martín, M. Elena Vázquez-Cendón, Michael Dumbser
A semi-implicit hybrid finite volume/finite element scheme for all Mach number flows on staggered unstructured meshes. Appl. Math. Comput. 402 (2021)
Elena Gaburro, Michael Dumbser
Schemes: Applications from Gasdynamics to Relativistic Magnetohydrodynamics. J. Sci. Comput. 86 (3) (2021)
Saray Busto, Michael Dumbser, Cipriano Escalante, Nicolas Favrie, Sergey L. Gavrilyuk
On High Order ADER Discontinuous Galerkin Schemes for First Order Hyperbolic Reformulations of Nonlinear Dispersive Systems. J. Sci. Comput. 87 (2) (2021)
Simone Chiocchetti, Ilya Peshkov, Sergey L. Gavrilyuk, Michael Dumbser
High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension. J. Comput. Phys. 426 (2021)
Elena Gaburro, Manuel J. Castro, Michael Dumbser
A well balanced finite volume scheme for general relativity. CoRR (2021)
Elena Gaburro, Manuel J. Castro, Michael Dumbser
A Well Balanced Finite Volume Scheme for General Relativity. SIAM J. Sci. Comput. 43 (6) (2021)
Maurizio Tavelli, Simone Chiocchetti, Evgeniy I. Romenski, Alice-Agnes Gabriel, Michael Dumbser
Space-time adaptive ADER discontinuous Galerkin schemes for nonlinear hyperelasticity with material failure. CoRR (2020)
Simone Chiocchetti, Ilya Peshkov, Sergey L. Gavrilyuk, Michael Dumbser
High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension. CoRR (2020)
Caterina Bassi, Saray Busto, Michael Dumbser
High order ADER-DG schemes for the simulation of linear seismic waves induced by nonlinear dispersive free-surface water waves. CoRR (2020)
Friedemann Kemm, Elena Gaburro, Ferdinand Thein, Michael Dumbser
A simple diffuse interface approach for compressible flows around moving solids of arbitrary shape based on a reduced Baer-Nunziato model. CoRR (2020)
Elena Gaburro, Michael Dumbser
A posteriori subcell finite volume limiter for general PNPM schemes: applications from gasdynamics to relativistic magnetohydrodynamics. CoRR (2020)
Walter Boscheri, Michael Dumbser, Matteo Ioriatti, Ilya Peshkov, Evgeniy I. Romenski
A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics. CoRR (2020)
Michael Dumbser, Francesco Fambri, Elena Gaburro, Anne Reinarz
On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations. J. Comput. Phys. 404 (2020)
Ilya Peshkov, Michael Dumbser, Walter Boscheri, Evgeniy I. Romenski, Simone Chiocchetti, Matteo Ioriatti
Modeling solid-fluid transformations in non-Newtonian viscoplastic flows with a unified flow theory. CoRR (2020)
Michael Dumbser, Simone Chiocchetti, Ilya Peshkov
On numerical methods for hyperbolic PDE with curl involutions. CoRR (2020)
Matteo Ioriatti, Michael Dumbser, Raphaël Loubère
A Staggered Semi-implicit Discontinuous Galerkin Scheme with a Posteriori Subcell Finite Volume Limiter for the Euler Equations of Gasdynamics. J. Sci. Comput. 83 (2) (2020)
Alfredo Bermúdez, Saray Busto, Michael Dumbser, Jose Luis Ferrín, Laura Saavedra, M. Elena Vázquez-Cendón
A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows. J. Comput. Phys. 421 (2020)
Francesco Lohengrin Romeo, Michael Dumbser, Maurizio Tavelli
A novel staggered semi-implicit space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations. CoRR (2020)
Dinshaw S. Balsara, Roger Käppeli, Walter Boscheri, Michael Dumbser
Curl constraint-preserving reconstruction and the guidance it gives for mimetic scheme design. CoRR (2020)
Maurizio Tavelli, Simone Chiocchetti, Evgeniy I. Romenski, Alice-Agnes Gabriel, Michael Dumbser
Space-time adaptive ADER discontinuous Galerkin schemes for nonlinear hyperelasticity with material failure. J. Comput. Phys. 422 (2020)
Anne Reinarz, Dominic Etienne Charrier, Michael Bader, Luke Bovard, Michael Dumbser, Kenneth Duru, Francesco Fambri, Alice-Agnes Gabriel, Jean-Matthieu Gallard, Sven Köppel, Lukas Krenz, Leonhard Rannabauer, Luciano Rezzolla, Philipp Samfass, Maurizio Tavelli, Tobias Weinzierl
ExaHyPE: An engine for parallel dynamically adaptive simulations of wave problems. Comput. Phys. Commun. 254 (2020)
Elena Gaburro, Walter Boscheri, Simone Chiocchetti, Christian Klingenberg, Volker Springel, Michael Dumbser
High order direct Arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes. J. Comput. Phys. 407 (2020)
Caterina Bassi, Luca Bonaventura, Saray Busto, Michael Dumbser
A hyperbolic reformulation of the Serre-Green-Naghdi model for general bottom topographies. CoRR (2020)
Dominic Etienne Charrier, Benjamin Hazelwood, Ekaterina O. Tutlyaeva, Michael Bader, Michael Dumbser, Andrey Kudryavtsev, Alexander A. Moskovsky, Tobias Weinzierl
Studies on the energy and deep memory behaviour of a cache-oblivious, task-based hyperbolic PDE solver. Int. J. High Perform. Comput. Appl. 33 (5) (2019)
Cipriano Escalante, Michael Dumbser, Manuel Jesús Castro Díaz
An efficient hyperbolic relaxation system for dispersive non-hydrostatic water waves and its solution with high order discontinuous Galerkin schemes. J. Comput. Phys. 394 (2019)
Ilya Peshkov, Walter Boscheri, Raphaël Loubère, Evgeniy I. Romenski, Michael Dumbser
Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity. J. Comput. Phys. 387 (2019)
Walter Boscheri, Michael Dumbser, Maurizio Righetti
FORCE schemes on moving unstructured meshes for hyperbolic systems. Comput. Math. Appl. 78 (2) (2019)
Michael Dumbser, Francesco Fambri, Elena Gaburro
On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations. CoRR (2019)
Saray Busto, Simone Chiocchetti, Michael Dumbser, Elena Gaburro, Ilya Peshkov
High order ADER schemes for continuum mechanics. CoRR (2019)
Giulia Bertaglia, Matteo Ioriatti, Alessandro Valiani, Michael Dumbser, Valerio Caleffi
Numerical methods for hydraulic transients in visco-elastic pipes. CoRR (2019)
Anne Reinarz, Dominic Etienne Charrier, Michael Bader, Luke Bovard, Michael Dumbser, Kenneth Duru, Francesco Fambri, Alice-Agnes Gabriel, Jean-Mathieu Gallard, Sven Köppel, Lukas Krenz, Leonhard Rannabauer, Luciano Rezzolla, Philipp Samfass, Maurizio Tavelli, Tobias Weinzierl
ExaHyPE: An Engine for Parallel Dynamically Adaptive Simulations of Wave Problems. CoRR (2019)
Saray Busto, Maurizio Tavelli, Walter Boscheri, Michael Dumbser
Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems. CoRR (2019)
Maurizio Tavelli, Michael Dumbser, Dominic Etienne Charrier, Leonhard Rannabauer, Tobias Weinzierl, Michael Bader
A simple diffuse interface approach on adaptive Cartesian grids for the linear elastic wave equations with complex topography. J. Comput. Phys. 386 (2019)
Michael Dumbser, Francesco Fambri, Maurizio Tavelli, Michael Bader, Tobias Weinzierl
Efficient Implementation of ADER Discontinuous Galerkin Schemes for a Scalable Hyperbolic PDE Engine. Axioms 7 (3) (2018)
Maurizio Tavelli, Michael Dumbser
Arbitrary high order accurate space-time discontinuous Galerkin finite element schemes on staggered unstructured meshes for linear elasticity. J. Comput. Phys. 366 (2018)
Walter Boscheri, Michael Dumbser, Raphaël Loubère, Pierre-Henri Maire
A second-order cell-centered Lagrangian ADER-MOOD finite volume scheme on multidimensional unstructured meshes for hydrodynamics. J. Comput. Phys. 358 (2018)
Nadezhda S. Smirnova, Michael Dumbser, Mikhail N. Petrov, Alexander V. Chikitkin, Evgeniy I. Romenski
A Flux Splitting Method for the SHTC Model for High-performance Simulations of Two-phase Flows. Supercomput. Front. Innov. 5 (3) (2018)
Michael Dumbser, Francesco Fambri, Isabella Furci, Mariarosa Mazza, Stefano Serra Capizzano, Maurizio Tavelli
Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations: Spectral analysis and computational results. Numer. Linear Algebra Appl. 25 (5) (2018)
Maurizio Tavelli, Michael Dumbser
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. 341 (2017)
Michael Dumbser, Walter Boscheri, Matteo Semplice, Giovanni Russo
Central Weighted ENO Schemes for Hyperbolic Conservation Laws on Fixed and Moving Unstructured Meshes. SIAM J. Sci. Comput. 39 (6) (2017)
Michael Dumbser, Ilya Peshkov, Evgeniy I. Romenski, Olindo Zanotti
High order ADER schemes for a unified first order hyperbolic formulation of Newtonian continuum mechanics coupled with electro-dynamics. J. Comput. Phys. 348 (2017)
Francesco Fambri, Michael Dumbser, Olindo Zanotti
Space-time adaptive ADER-DG schemes for dissipative flows: Compressible Navier-Stokes and resistive MHD equations. Comput. Phys. Commun. 220 (2017)
Walter Boscheri, Michael Dumbser
Arbitrary-Lagrangian-Eulerian Discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes. J. Comput. Phys. 346 (2017)
Michael Dumbser, Dinshaw S. Balsara
A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems. J. Comput. Phys. 304 (2016)
Claus R. Goetz, Michael Dumbser
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. 69 (2) (2016)
Walter Boscheri, Michael Dumbser
An Efficient Quadrature-Free Formulation for High Order Arbitrary-Lagrangian-Eulerian ADER-WENO Finite Volume Schemes on Unstructured Meshes. J. Sci. Comput. 66 (1) (2016)
Michael Dumbser, Raphaël Loubère
A simple robust and accurate a posteriori sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes. J. Comput. Phys. 319 (2016)
Dinshaw S. Balsara, Jeaniffer Vides, Katharine F. Gurski, Boniface Nkonga, Michael Dumbser, Sudip Garain, Edouard Audit
A two-dimensional Riemann solver with self-similar sub-structure - Alternative formulation based on least squares projection. J. Comput. Phys. 304 (2016)
Michael Dumbser, Ilya Peshkov, Evgeniy I. Romenski, Olindo Zanotti
High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: Viscous heat-conducting fluids and elastic solids. J. Comput. Phys. 314 (2016)
Michael Dumbser, Gregor Gassner, Christian Rohde, Sabine Roller
Preface to the special issue "Recent Advances in Numerical Methods for Hyperbolic Partial Differential Equations". Appl. Math. Comput. 272 (2016)
Maurizio Tavelli, Michael Dumbser
A staggered space-time discontinuous Galerkin method for the three-dimensional incompressible Navier-Stokes equations on unstructured tetrahedral meshes. J. Comput. Phys. 319 (2016)
Michael Dumbser, Vincenzo Casulli
A conservative, weakly nonlinear semi-implicit finite volume scheme for the compressible Navier-Stokes equations with general equation of state. Appl. Math. Comput. 272 (2016)
Michael Dumbser, Matteo Facchini
A space-time discontinuous Galerkin method for Boussinesq-type equations. Appl. Math. Comput. 272 (2016)
Nguyen T. Nguyen, Michael Dumbser
A New Hllem-Type Riemann Solver for Compressible Multi-phase Flows with Surface Tension. ACOMP (2015)
Nguyen T. Nguyen, Michael Dumbser
A path-conservative finite volume scheme for compressible multi-phase flows with surface tension. Appl. Math. Comput. 271 (2015)
Olindo Zanotti, Michael Dumbser
A high order special relativistic hydrodynamic and magnetohydrodynamic code with space-time adaptive mesh refinement. Comput. Phys. Commun. 188 (2015)
Dinshaw S. Balsara, Michael Dumbser
Divergence-free MHD on unstructured meshes using high order finite volume schemes based on multidimensional Riemann solvers. J. Comput. Phys. 299 (2015)
Dinshaw S. Balsara, Michael Dumbser
Multidimensional Riemann problem with self-similar internal structure. Part II - Application to hyperbolic conservation laws on unstructured meshes. J. Comput. Phys. 287 (2015)
Walter Boscheri, Raphaël Loubère, Michael Dumbser
Direct Arbitrary-Lagrangian-Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws. J. Comput. Phys. 292 (2015)
Walter Boscheri, Michael Dumbser, Olindo Zanotti
High order cell-centered Lagrangian-type finite volume schemes with time-accurate local time stepping on unstructured triangular meshes. J. Comput. Phys. 291 (2015)
Maurizio Tavelli, Michael Dumbser
A staggered semi-implicit discontinuous Galerkin method for the two dimensional incompressible Navier-Stokes equations. Appl. Math. Comput. 248 (2014)
Vladimir A. Titarev, Michael Dumbser, Sergey V. Utyuzhnikov
Construction and comparison of parallel implicit kinetic solvers in three spatial dimensions. J. Comput. Phys. 256 (2014)
Diego Avesani, Michael Dumbser, Alberto Bellin
A new class of Moving-Least-Squares WENO-SPH schemes. J. Comput. Phys. 270 (2014)
Maurizio Tavelli, Michael Dumbser
A high order semi-implicit discontinuous Galerkin method for the two dimensional shallow water equations on staggered unstructured meshes. Appl. Math. Comput. 234 (2014)

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Publication Activity (10 Years)

Top Topics

Top Venues

Michael Dumbser