Building Blocks for Arbitrary High Order Discontinuous Galerkin Schemes. - Michael Dumbser; Claus-Dieter Munz (J. Sci. Comput., 2006)

On Source Terms and Boundary Conditions Using Arbitrary High Order Discontinuous Galerkin Schemes. - Michael Dumbser; Claus-Dieter Munz (Int. J. Appl. Math. Comput. Sci., 2007)

A sub-cell based indicator for troubled zones in RKDG schemes and a novel class of hybrid RKDG+HWENO schemes. - Dinshaw S. Balsara; Christoph Altmann; Claus-Dieter Munz; Michael Dumbser (J. Comput. Phys., 2007)

Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems. - Michael Dumbser; Martin Käser (J. Comput. Phys., 2007)

Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems. - Michael Dumbser; Martin Käser; Vladimir A. Titarev; Eleuterio F. Toro (J. Comput. Phys., 2007)

Linearized acoustic perturbation equations for low Mach number flow with variable density and temperature. - Claus-Dieter Munz; Michael Dumbser; Sabine Roller (J. Comput. Phys., 2007)

Arbitrary High-Order Discontinuous Galerkin Schemes for the Magnetohydrodynamic Equations. - Arne Taube; Michael Dumbser; Dinshaw S. Balsara; Claus-Dieter Munz (J. Sci. Comput., 2007)

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 (J. Comput. Phys., 2008)

Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws. - Michael Dumbser; Cedric Enaux; Eleuterio F. Toro (J. Comput. Phys., 2008)

Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes. - Jun Zhu; Jianxian Qiu; Chi-Wang Shu; Michael Dumbser (J. Comput. Phys., 2008)

Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics. - Dinshaw S. Balsara; Tobias Rumpf; Michael Dumbser; Claus-Dieter Munz (J. Comput. Phys., 2009)

Very high order PNPM schemes on unstructured meshes for the resistive relativistic MHD equations. - Michael Dumbser; Olindo Zanotti (J. Comput. Phys., 2009)

FORCE schemes on unstructured meshes I: Conservative hyperbolic systems. - Eleuterio F. Toro; Arturo Hidalgo; Michael Dumbser (J. Comput. Phys., 2009)

Explicit one-step time discretizations for discontinuous Galerkin and finite volume schemes based on local predictors. - Gregor Gassner; Michael Dumbser; Florian Hindenlang; Claus-Dieter Munz (J. Comput. Phys., 2011)

A Simple Extension of the Osher Riemann Solver to Non-conservative Hyperbolic Systems. - Michael Dumbser; Eleuterio F. Toro (J. Sci. Comput., 2011)

ADER Schemes for Nonlinear Systems of Stiff Advection-Diffusion-Reaction Equations. - Arturo Hidalgo; Michael Dumbser (J. Sci. Comput., 2011)

Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms. - Gino I. Montecinos; Cristóbal E. Castro; Michael Dumbser; Eleuterio F. Toro (J. Comput. Phys., 2012)

A staggered semi-implicit spectral discontinuous Galerkin scheme for the shallow water equations. - Michael Dumbser; Vincenzo Casulli (Appl. Math. Comput., 2013)

Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes - Speed comparisons with Runge-Kutta methods. - Dinshaw S. Balsara; Chad D. Meyer; Michael Dumbser; Huijing Du; Zhiliang Xu (J. Comput. Phys., 2013)

ADER-WENO finite volume schemes with space-time adaptive mesh refinement. - Michael Dumbser; Olindo Zanotti; Arturo Hidalgo; Dinshaw S. Balsara (J. Comput. Phys., 2013)

A staggered semi-implicit discontinuous Galerkin method for the two dimensional incompressible Navier-Stokes equations. - Maurizio Tavelli; Michael Dumbser (Appl. Math. Comput., 2014)

A high order semi-implicit discontinuous Galerkin method for the two dimensional shallow water equations on staggered unstructured meshes. - Maurizio Tavelli; Michael Dumbser (Appl. Math. Comput., 2014)

A new class of Moving-Least-Squares WENO-SPH schemes. - Diego Avesani; Michael Dumbser; Alberto Bellin (J. Comput. Phys., 2014)

Multidimensional HLLC Riemann solver for unstructured meshes - With application to Euler and MHD flows. - Dinshaw S. Balsara; Michael Dumbser; Rémi Abgrall (J. Comput. Phys., 2014)

Lagrangian ADER-WENO finite volume schemes on unstructured triangular meshes based on genuinely multidimensional HLL Riemann solvers. - Walter Boscheri; Dinshaw S. Balsara; Michael Dumbser (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. - Walter Boscheri; Michael Dumbser (J. Comput. Phys., 2014)

A posteriori subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws. - Michael Dumbser; Olindo Zanotti; Raphaël Loubère; Steven Diot (J. Comput. Phys., 2014)

Construction and comparison of parallel implicit kinetic solvers in three spatial dimensions. - Vladimir A. Titarev; Michael Dumbser; Sergey V. Utyuzhnikov (J. Comput. Phys., 2014)

A New Hllem-Type Riemann Solver for Compressible Multi-phase Flows with Surface Tension. - Nguyen T. Nguyen; Michael Dumbser (ACOMP, 2015)

A path-conservative finite volume scheme for compressible multi-phase flows with surface tension. - Nguyen T. Nguyen; Michael Dumbser (Appl. Math. Comput., 2015)

A high order special relativistic hydrodynamic and magnetohydrodynamic code with space-time adaptive mesh refinement. - Olindo Zanotti; Michael Dumbser (Comput. Phys. Commun., 2015)

Multidimensional Riemann problem with self-similar internal structure. Part II - Application to hyperbolic conservation laws on unstructured meshes. - Dinshaw S. Balsara; Michael Dumbser (J. Comput. Phys., 2015)

Divergence-free MHD on unstructured meshes using high order finite volume schemes based on multidimensional Riemann solvers. - Dinshaw S. Balsara; Michael Dumbser (J. Comput. Phys., 2015)

High order cell-centered Lagrangian-type finite volume schemes with time-accurate local time stepping on unstructured triangular meshes. - Walter Boscheri; Michael Dumbser; Olindo Zanotti (J. Comput. Phys., 2015)

Direct Arbitrary-Lagrangian-Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws. - Walter Boscheri; Raphaël Loubère; Michael Dumbser (J. Comput. Phys., 2015)

A conservative, weakly nonlinear semi-implicit finite volume scheme for the compressible Navier-Stokes equations with general equation of state. - Michael Dumbser; Vincenzo Casulli (Appl. Math. Comput., 2016)

A space-time discontinuous Galerkin method for Boussinesq-type equations. - Michael Dumbser; Matteo Facchini (Appl. Math. Comput., 2016)

Preface to the special issue "Recent Advances in Numerical Methods for Hyperbolic Partial Differential Equations". - Michael Dumbser; Gregor Gassner; Christian Rohde; Sabine Roller (Appl. Math. Comput., 2016)

A two-dimensional Riemann solver with self-similar sub-structure - Alternative formulation based on least squares projection. - Dinshaw S. Balsara; Jeaniffer Vides; Katharine F. Gurski; Boniface Nkonga; Michael Dumbser; Sudip Garain; Edouard Audit (J. Comput. Phys., 2016)

A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems. - Michael Dumbser; Dinshaw S. Balsara (J. Comput. Phys., 2016)

A simple robust and accurate a posteriori sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes. - Michael Dumbser; Raphaël Loubère (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. - Michael Dumbser; Ilya Peshkov; Evgeniy I. Romenski; Olindo Zanotti (J. Comput. Phys., 2016)

A staggered space-time discontinuous Galerkin method for the three-dimensional incompressible Navier-Stokes equations on unstructured tetrahedral meshes. - Maurizio Tavelli; Michael Dumbser (J. Comput. Phys., 2016)

An Efficient Quadrature-Free Formulation for High Order Arbitrary-Lagrangian-Eulerian ADER-WENO Finite Volume Schemes on Unstructured Meshes. - Walter Boscheri; Michael Dumbser (J. Sci. Comput., 2016)

A Novel Solver for the Generalized Riemann Problem Based on a Simplified LeFloch-Raviart Expansion and a Local Space-Time Discontinuous Galerkin Formulation. - Claus R. Goetz; Michael Dumbser (J. Sci. Comput., 2016)

Space-time adaptive ADER-DG schemes for dissipative flows: Compressible Navier-Stokes and resistive MHD equations. - Francesco Fambri; Michael Dumbser; Olindo Zanotti (Comput. Phys. Commun., 2017)

Arbitrary-Lagrangian-Eulerian Discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes. - Walter Boscheri; Michael Dumbser (J. Comput. Phys., 2017)

High order ADER schemes for a unified first order hyperbolic formulation of Newtonian continuum mechanics coupled with electro-dynamics. - Michael Dumbser; Ilya Peshkov; Evgeniy I. Romenski; Olindo Zanotti (J. Comput. Phys., 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. - Maurizio Tavelli; Michael Dumbser (J. Comput. Phys., 2017)

Central Weighted ENO Schemes for Hyperbolic Conservation Laws on Fixed and Moving Unstructured Meshes. - Michael Dumbser; Walter Boscheri; Matteo Semplice; Giovanni Russo 001 (SIAM J. Sci. Comput., 2017)

Efficient Implementation of ADER Discontinuous Galerkin Schemes for a Scalable Hyperbolic PDE Engine. - Michael Dumbser; Francesco Fambri; Maurizio Tavelli; Michael Bader; Tobias Weinzierl (Axioms, 2018)

A second-order cell-centered Lagrangian ADER-MOOD finite volume scheme on multidimensional unstructured meshes for hydrodynamics. - Walter Boscheri; Michael Dumbser; Raphaël Loubère; Pierre-Henri Maire (J. Comput. Phys., 2018)

Arbitrary high order accurate space-time discontinuous Galerkin finite element schemes on staggered unstructured meshes for linear elasticity. - Maurizio Tavelli; Michael Dumbser (J. Comput. Phys., 2018)

Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations: Spectral analysis and computational results. - Michael Dumbser; Francesco Fambri; Isabella Furci; Mariarosa Mazza; Stefano Serra-Capizzano; Maurizio Tavelli (Numer. Linear Algebra Appl., 2018)

A Flux Splitting Method for the SHTC Model for High-performance Simulations of Two-phase Flows. - Nadezhda S. Smirnova; Michael Dumbser; Mikhail N. Petrov; Alexander V. Chikitkin; Evgeniy I. Romenski (Supercomput. Front. Innov., 2018)

FORCE schemes on moving unstructured meshes for hyperbolic systems. - Walter Boscheri; Michael Dumbser; Maurizio Righetti (Comput. Math. Appl., 2019)

Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems. - Saray Busto; Maurizio Tavelli; Walter Boscheri; Michael Dumbser (CoRR, 2019)

On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations. - Michael Dumbser; Francesco Fambri; Elena Gaburro (CoRR, 2019)

High order ADER schemes for continuum mechanics. - Saray Busto; Simone Chiocchetti; Michael Dumbser; Elena Gaburro; Ilya Peshkov (CoRR, 2019)

Numerical methods for hydraulic transients in visco-elastic pipes. - Giulia Bertaglia; Matteo Ioriatti; Alessandro Valiani; Michael Dumbser; Valerio Caleffi (CoRR, 2019)

Studies on the energy and deep memory behaviour of a cache-oblivious, task-based hyperbolic PDE solver. - Dominic Etienne Charrier; Benjamin Hazelwood; Ekaterina O. Tutlyaeva; Michael Bader; Michael Dumbser; Andrey Kudryavtsev; Alexander A. Moskovsky; Tobias Weinzierl (Int. J. High Perform. Comput. Appl., 2019)

An efficient hyperbolic relaxation system for dispersive non-hydrostatic water waves and its solution with high order discontinuous Galerkin schemes. - Cipriano Escalante; Michael Dumbser; Manuel Jesús Castro Díaz (J. Comput. Phys., 2019)

Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity. - Ilya Peshkov; Walter Boscheri; Raphaël Loubère; Evgeniy I. Romenski; Michael Dumbser (J. Comput. Phys., 2019)

A simple diffuse interface approach on adaptive Cartesian grids for the linear elastic wave equations with complex topography. - Maurizio Tavelli; Michael Dumbser; Dominic Etienne Charrier; Leonhard Rannabauer; Tobias Weinzierl; Michael Bader (J. Comput. Phys., 2019)

A simple diffuse interface approach for compressible flows around moving solids of arbitrary shape based on a reduced Baer-Nunziato model. - Friedemann Kemm; Elena Gaburro; Ferdinand Thein; Michael Dumbser (CoRR, 2020)

On numerical methods for hyperbolic PDE with curl involutions. - Michael Dumbser; Simone Chiocchetti; Ilya Peshkov (CoRR, 2020)

A novel staggered semi-implicit space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations. - Francesco Lohengrin Romeo; Michael Dumbser; Maurizio Tavelli (CoRR, 2020)

A hyperbolic reformulation of the Serre-Green-Naghdi model for general bottom topographies. - Caterina Bassi; Luca Bonaventura; Saray Busto; Michael Dumbser (CoRR, 2020)

High order ADER-DG schemes for the simulation of linear seismic waves induced by nonlinear dispersive free-surface water waves. - Caterina Bassi; Saray Busto; Michael Dumbser (CoRR, 2020)

Curl constraint-preserving reconstruction and the guidance it gives for mimetic scheme design. - Dinshaw S. Balsara; Roger Käppeli; Walter Boscheri; Michael Dumbser (CoRR, 2020)

A posteriori subcell finite volume limiter for general PNPM schemes: applications from gasdynamics to relativistic magnetohydrodynamics. - Elena Gaburro; Michael Dumbser (CoRR, 2020)

Modeling solid-fluid transformations in non-Newtonian viscoplastic flows with a unified flow theory. - Ilya Peshkov; Michael Dumbser; Walter Boscheri; Evgeniy I. Romenski; Simone Chiocchetti; Matteo Ioriatti (CoRR, 2020)

ExaHyPE: An engine for parallel dynamically adaptive simulations of wave problems. - 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; et al. (Comput. Phys. Commun., 2020)

A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows. - Alfredo Bermúdez; Saray Busto; Michael Dumbser; Jose Luis Ferrín; Laura Saavedra; M. Elena Vázquez-Cendón (J. Comput. Phys., 2020)

On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations. - Michael Dumbser; Francesco Fambri; Elena Gaburro; Anne Reinarz (J. Comput. Phys., 2020)

High order direct Arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes. - Elena Gaburro; Walter Boscheri; Simone Chiocchetti; Christian Klingenberg; Volker Springel; Michael Dumbser (J. Comput. Phys., 2020)

Space-time adaptive ADER discontinuous Galerkin schemes for nonlinear hyperelasticity with material failure. - Maurizio Tavelli; Simone Chiocchetti; Evgeniy I. Romenski; Alice-Agnes Gabriel; Michael Dumbser (J. Comput. Phys., 2020)

A Staggered Semi-implicit Discontinuous Galerkin Scheme with a Posteriori Subcell Finite Volume Limiter for the Euler Equations of Gasdynamics. - Matteo Ioriatti; Michael Dumbser; Raphaël Loubère (J. Sci. Comput., 2020)

A semi-implicit hybrid finite volume/finite element scheme for all Mach number flows on staggered unstructured meshes. - Saray Busto; Laura Río-Martín; M. Elena Vázquez-Cendón; Michael Dumbser (Appl. Math. Comput., 2021)

A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics. - Walter Boscheri; Michael Dumbser; Matteo Ioriatti; Ilya Peshkov; Evgeniy I. Romenski (J. Comput. Phys., 2021)

High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension. - Simone Chiocchetti; Ilya Peshkov; Sergey L. Gavrilyuk; Michael Dumbser (J. Comput. Phys., 2021)

On High Order ADER Discontinuous Galerkin Schemes for First Order Hyperbolic Reformulations of Nonlinear Dispersive Systems. - Saray Busto; Michael Dumbser; Cipriano Escalante; Nicolas Favrie; Sergey L. Gavrilyuk (J. Sci. Comput., 2021)

On Thermodynamically Compatible Finite Volume Methods and Path-Conservative ADER Discontinuous Galerkin Schemes for Turbulent Shallow Water Flows. - Saray Busto; Michael Dumbser; Sergey L. Gavrilyuk; Kseniya Ivanova (J. Sci. Comput., 2021)

A Posteriori Subcell Finite Volume Limiter for General PNPM Schemes: Applications from Gasdynamics to Relativistic Magnetohydrodynamics. - Elena Gaburro; Michael Dumbser (J. Sci. Comput., 2021)

A Well Balanced Finite Volume Scheme for General Relativity. - Elena Gaburro; Manuel J. Castro; Michael Dumbser (SIAM J. Sci. Comput., 2021)

Continuous finite element subgrid basis functions for Discontinuous Galerkin schemes on unstructured polygonal Voronoi meshes. - Walter Boscheri; Michael Dumbser; Elena Gaburro (CoRR, 2022)

An exactly curl-free staggered semi-implicit finite volume scheme for a first order hyperbolic model of viscous flow with surface tension. - Simone Chiocchetti; Michael Dumbser (CoRR, 2022)

A first order hyperbolic reformulation of the Navier-Stokes-Korteweg system based on the GPR model and an augmented Lagrangian approach. - Firas Dhaouadi; Michael Dumbser (J. Comput. Phys., 2022)

A New Family of Thermodynamically Compatible Discontinuous Galerkin Methods for Continuum Mechanics and Turbulent Shallow Water Flows. - Saray Busto; Michael Dumbser (J. Sci. Comput., 2022)

An Arbitrary High Order Well-Balanced ADER-DG Numerical Scheme for the Multilayer Shallow-Water Model with Variable Density. - Ernesto Guerrero Fernández; Manuel Jesús Castro Díaz; Michael Dumbser; Tomás Morales de Luna (J. Sci. Comput., 2022)

Exact and Numerical Solutions of the Riemann Problem for a Conservative Model of Compressible Two-Phase Flows. - Ferdinand Thein; Evgeniy I. Romenski; Michael Dumbser (J. Sci. Comput., 2022)

On Thermodynamically Compatible Finite Volume Schemes for Continuum Mechanics. - Saray Busto; Michael Dumbser; Ilya Peshkov; Evgeniy I. Romenski (SIAM J. Sci. Comput., 2022)

A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics. - Rémi Abgrall; Saray Busto; Michael Dumbser (Appl. Math. Comput., 2023)

An Arbitrary-Lagrangian-Eulerian hybrid finite volume/finite element method on moving unstructured meshes for the Navier-Stokes equations. - Saray Busto; Michael Dumbser; Laura Río-Martín (Appl. Math. Comput., 2023)

A staggered semi-implicit hybrid finite volume / finite element scheme for the shallow water equations at all Froude numbers. - Saray Busto; Michael Dumbser (CoRR, 2023)

An implicit staggered hybrid finite volume/finite element solver for the incompressible Navier-Stokes equations. - Alessia Lucca; Saray Busto; Michael Dumbser (CoRR, 2023)

High-order ADER Discontinuous Galerkin schemes for a symmetric hyperbolic model of compressible barotropic two-fluid flows. - Laura Río-Martín; Michael Dumbser (CoRR, 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. - Simone Chiocchetti; Michael Dumbser (J. Sci. Comput., 2023)

A New Thermodynamically Compatible Finite Volume Scheme for Magnetohydrodynamics. - Saray Busto; Michael Dumbser (SIAM J. Numer. Anal., 2023)

Preface for the special issue "Hyperbolic PDE in computational physics: Advanced mathematical models and structure-preserving numerics". - Michael Dumbser; Saray Busto; M. Elena Vázquez-Cendón; Ilya Peshkov (Appl. Math. Comput., 2023)

Thermodynamically Compatible Discretization of a Compressible Two-Fluid Model with Two Entropy Inequalities. - Andrea Thomann; Michael Dumbser (J. Sci. Comput., 2023)

A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume / finite element scheme for the incompressible MHD equations. - Francesco Fambri; Enrico Zampa; Saray Busto; Laura Río-Martín; Florian Hindenlang; Eric Sonnendrücker; Michael Dumbser (J. Comput. Phys., 2023)

A semi-implicit finite volume scheme for blood flow in elastic and viscoelastic vessels. - Alessia Lucca; Saray Busto; Lucas O. Müller; Eleuterio F. Toro; Michael Dumbser (J. Comput. Phys., 2023)

An exactly curl-free finite-volume scheme for a hyperbolic compressible barotropic two-phase model. - Laura Río-Martín; Firas Dhaouadi; Michael Dumbser (CoRR, 2024)

A unified SHTC multiphase model of continuum mechanics. - Davide Ferrari; Ilya Peshkov; Evgeniy I. Romenski; Michael Dumbser (CoRR, 2024)

An all Mach number semi-implicit hybrid Finite Volume/Virtual Element method for compressible viscous flows on Voronoi meshes. - Walter Boscheri; Saray Busto; Michael Dumbser (CoRR, 2024)

Well-balanced high order finite difference WENO schemes for a first-order Z4 formulation of the Einstein field equations. - Dinshaw S. Balsara; Deepak Bhoriya; Olindo Zanotti; Michael Dumbser (CoRR, 2024)

A monolithic first-order BSSNOK formulation of the Einstein-Euler equations and its solution with path-conservative finite difference CWENO schemes. - Michael Dumbser; Olindo Zanotti; Gabriella Puppo (CoRR, 2024)

High order discontinuous Galerkin schemes with subcell finite volume limiter and AMR for a monolithic first-order BSSNOK formulation of the Einstein-Euler equations. - Michael Dumbser; Olindo Zanotti; Ilya Peshkov (CoRR, 2024)

A first-order hyperbolic reformulation of the Cahn-Hilliard equation. - Firas Dhaouadi; Michael Dumbser; Sergey L. Gavrilyuk (CoRR, 2024)

Variational derivation and compatible discretizations of the Maxwell-GLM system. - Michael Dumbser; Alessia Lucca; Ilya Peshkov; Olindo Zanotti (CoRR, 2024)

Convergence of a Hyperbolic Thermodynamically Compatible Finite Volume scheme for the Euler equations. - Michael Dumbser; Mária Lukácová-Medvid'ová; Andrea Thomann (CoRR, 2024)

A well-balanced discontinuous Galerkin method for the first-order Z4 formulation of the Einstein-Euler system. - Michael Dumbser; Olindo Zanotti; Elena Gaburro; Ilya Peshkov (J. Comput. Phys., 2024)

A New Thermodynamically Compatible Finite Volume Scheme for Lagrangian Gas Dynamics. - Walter Boscheri; Michael Dumbser; Pierre-Henri Maire (SIAM J. Sci. Comput., 2024)

Preface for the special issue in memory of Sergei Godunov (17/07/1929 - 15/07/2023). - Rémi Abgrall; Michael Dumbser; Pierre-Henri Maire; Ilya Peshkov; Evgeniy I. Romenski (J. Comput. Phys., 2025)

A unified HTC multiphase model of continuum mechanics. - Davide Ferrari; Ilya Peshkov; Evgeniy I. Romenski; Michael Dumbser (J. Comput. Phys., 2025)

On simple well-balanced semi-implicit and explicit numerical methods for blood flow in networks of elastic vessels with applications to FFR prediction. - Alessia Lucca; Lucas O. Müller; Luigi Fraccarollo; Eleuterio F. Toro; Michael Dumbser (J. Comput. Phys., 2025)

An asymptotic-preserving and exactly mass-conservative semi-implicit scheme for weakly compressible flows based on compatible finite elements. - Enrico Zampa; Michael Dumbser (J. Comput. Phys., 2025)

An Exactly Curl-Free Finite-Volume/Finite-Difference Scheme for a Hyperbolic Compressible Isentropic Two-Phase Model. - Laura Río-Martín; Firas Dhaouadi; Michael Dumbser (J. Sci. Comput., 2025)

A simple and general framework for the construction of exactly div-curl-grad compatible discontinuous Galerkin finite element schemes on unstructured simplex meshes. - Rémi Abgrall; Michael Dumbser; Pierre-Henri Maire (CoRR, 2025)

On general and complete multidimensional Riemann solvers for nonlinear systems of hyperbolic conservation laws. - Elena Gaburro; Mario Ricchiuto; Michael Dumbser (CoRR, 2025)

A structure-preserving and thermodynamically compatible cell-centered Lagrangian finite volume scheme for continuum mechanics. - Walter Boscheri; Michael Dumbser; Raphaël Loubère; Pierre-Henri Maire (CoRR, 2025)