Edit Profile (opens in new tab) Dumbser, Michael Co-Author Distance Author ID: dumbser.michael Published as: Dumbser, Michael; Dumbser, M. External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef · theses.fr Documents Indexed: 180 Publications since 2003, including 8 Additional arXiv Preprints 9 Contributions as Editor Software Indexed: 2 Packages Co-Authors: 133 Co-Authors with 182 Joint Publications 2,637 Co-Co-Authors all top 5 Co-Authors 7 single-authored 24 Boscheri, Walter 23 Munz, Claus-Dieter 21 Busto, Saray 19 Toro, Eleuterio Francisco 16 Balsara, Dinshaw S. 15 Tavelli, Maurizio 13 Peshkov, Ilya M. 13 Zanotti, Olindo 12 Romenskii, Evgenii I. 11 Fambri, Francesco 11 Gaburro, Elena 9 Castro, Manuel J. 8 Loubère, Raphaël 7 Hidalgo, Arturo 7 Ioriatti, Matteo 5 Casulli, Vincenzo 5 Chiocchetti, Simone 5 Gassner, Gregor J. 5 Río-Martín, Laura 5 Titarev, Vladimir A. 4 Armanini, Aronne 4 Bader, Michael 4 Gavrilyuk, Sergey L. 4 Goetz, Claus R. 4 Iben, Uwe 3 Avesani, Diego 3 Després, Bruno 3 Dhaouadi, Firas 3 Ferrari, Angela 3 Filimon, Alexander 3 Hindenlang, Florian J. 3 Käser, Martin 3 Klingenberg, Christian 3 Lucca, Alessia 3 Rannabauer, Leonhard 3 Righetti, Maurizio 3 Roller, Sabine 3 Schwartzkopff, Thomas 3 Thomann, Andrea 3 Vázquez-Cendón, María Elena 3 Weinzierl, Tobias 3 Zampa, Enrico 2 Abgrall, Rémi 2 Bassi, Caterina 2 Bellin, Alberto 2 Castro-Díaz, Manuel Jesús 2 Castro, Cristóbal E. 2 Charrier, Dominic Etienne 2 Diot, Steven 2 Escalante, Cipriano 2 Ferrari, Davide 2 Fortenbach, Roland 2 Gabriel, Alice-Agnes 2 Iske, Armin 2 Maire, Pierre-Henri 2 Montecinos, Gino I. 2 Parés Madroñal, Carlos 2 Qiu, Jianxian 2 Reinarz, Anne 2 Semplice, Matteo 2 Shu, Chi-Wang 2 Sonnendrücker, Eric 2 Taube, Arne 2 Thein, Ferdinand 2 Utyuzhnikov, Sergey V. 2 Utzmann, Jens 1 Altmann, Christoph 1 Ariunaa, Uuriintsetseg 1 Audit, Edouard 1 Babucke, Andreas 1 Bankole, Adeleke O. 1 Bermúdez, Alfredo 1 Bonaventura, Luca 1 Bovard, Luke 1 Brutto, Cristian 1 Chiogna, Gabriele 1 Dematté, Riccardo 1 Demidenko, Gennadiĭ Vladimirovich 1 Du, Huijing 1 Duru, Kenneth 1 Enaux, Cedric 1 Facchini, M. 1 Favrie, Nicolas 1 Fernández, E. Guerrero 1 Ferrín, Jose Luis 1 Fraccarollo, Luigi 1 Furci, Isabella 1 Gallard, Jean-Matthieu 1 Garain, Sudip K. 1 Gressier, Jérémie 1 Gurski, Katharine F. 1 Ivanova, Kseniya 1 Kamm, James R. 1 Käppeli, Roger 1 Kemm, Friedemann 1 Köppel, Sven 1 Krenz, Lukas 1 Leibinger, Julia 1 Lukáčová-Medviďová, Mária 1 Mazza, Mariarosa ...and 33 more Co-Authors all top 5 Serials 50 Journal of Computational Physics 24 Computers and Fluids 16 Journal of Scientific Computing 11 Applied Mathematics and Computation 9 Computer Methods in Applied Mechanics and Engineering 8 Applied Numerical Mathematics 7 Communications in Computational Physics 6 Communications on Applied Mathematics and Computation 4 SIAM Journal on Scientific Computing 3 Oberwolfach Reports 2 Computer Physics Communications 2 International Journal for Numerical Methods in Fluids 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 Computers & Mathematics with Applications 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Fluid Mechanics 1 Journal of Mathematical Biology 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 International Journal for Numerical Methods in Engineering 1 SIAM Journal on Numerical Analysis 1 Physics of Fluids 1 Numerical Linear Algebra with Applications 1 International Journal of Numerical Modelling 1 International Journal of Applied Mathematics and Computer Science 1 CMES. Computer Modeling in Engineering & Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 International Journal for Numerical Methods in Biomedical Engineering 1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 Axioms 1 East Asian Journal on Applied Mathematics 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 143 Fluid mechanics (76-XX) 136 Numerical analysis (65-XX) 56 Partial differential equations (35-XX) 20 Mechanics of deformable solids (74-XX) 9 General and overarching topics; collections (00-XX) 5 Geophysics (86-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Relativity and gravitational theory (83-XX) 4 Biology and other natural sciences (92-XX) 3 Optics, electromagnetic theory (78-XX) 3 Astronomy and astrophysics (85-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 156 Publications have been cited 6,051 times in 1,915 Documents Cited by ▼ Year ▼ A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes. Zbl 1147.65075 Dumbser, Michael; Balsara, Dinshaw S.; Toro, Eleuterio F.; Munz, Claus-Dieter 325 2008 Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems. Zbl 1110.65077 Dumbser, Michael; Käser, Martin 256 2007 A posteriori subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws. Zbl 1349.65448 Dumbser, Michael; Zanotti, Olindo; Loubère, Raphaël; Diot, Steven 200 2014 Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems. Zbl 1124.65074 Dumbser, Michael; Käser, Martin; Titarev, Vladimir A.; Toro, Eleuterio F. 186 2007 Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws. Zbl 1142.65070 Dumbser, Michael; Enaux, Cedric; Toro, Eleuterio F. 165 2008 Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics. Zbl 1275.76169 Balsara, Dinshaw S.; Rumpf, Tobias; Dumbser, Michael; Munz, Claus-Dieter 151 2009 Arbitrary high order \(P_{N}P_{M}\) schemes on unstructured meshes for the compressible Navier-Stokes equations. Zbl 1242.76161 Dumbser, Michael 147 2010 A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems. Zbl 1220.65110 Dumbser, Michael; Toro, Eleuterio F. 123 2011 ADER schemes on unstructured meshes for nonconservative hyperbolic systems: applications to geophysical flows. Zbl 1177.76222 Dumbser, Michael; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F. 116 2009 Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes. Zbl 1157.65453 Zhu, Jun; Qiu, Jianxian; Shu, Chi-Wang; Dumbser, Michael 116 2008 A new 3D parallel SPH scheme for free surface flows. Zbl 1242.76270 Ferrari, Angela; Dumbser, Michael; Toro, Eleuterio F.; Armanini, Aronne 105 2009 ADER-WENO finite volume schemes with space-time adaptive mesh refinement. Zbl 1349.76325 Dumbser, Michael; Zanotti, Olindo; Hidalgo, Arturo; Balsara, Dinshaw S. 101 2013 High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids. Zbl 1349.76324 Dumbser, Michael; Peshkov, Ilya; Romenski, Evgeniy; Zanotti, Olindo 100 2016 Multidimensional HLLC Riemann solver for unstructured meshes – with application to Euler and MHD flows. Zbl 1349.76426 Balsara, Dinshaw S.; Dumbser, Michael; Abgrall, Remi 93 2014 A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems. Zbl 1349.76603 Dumbser, Michael; Balsara, Dinshaw S. 91 2016 On universal Osher-type schemes for general nonlinear hyperbolic conservation laws. Zbl 1373.76125 Dumbser, Michael; Toro, Eleuterio F. 90 2011 FORCE schemes on unstructured meshes. II: Non-conservative hyperbolic systems. Zbl 1227.76043 Dumbser, Michael; Hidalgo, Arturo; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F. 88 2010 Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes – speed comparisons with Runge-Kutta methods. Zbl 1291.76237 Balsara, Dinshaw S.; Meyer, Chad; Dumbser, Michael; Du, Huijing; Xu, Zhiliang 83 2013 A direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume scheme on unstructured tetrahedral meshes for conservative and non-conservative hyperbolic systems in 3D. Zbl 1349.76310 Boscheri, Walter; Dumbser, Michael 83 2014 Very high order \(P_NP_M\) schemes on unstructured meshes for the resistive relativistic MHD equations. Zbl 1261.76028 Dumbser, Michael; Zanotti, Olindo 82 2009 Building blocks for arbitrary high order discontinuous Galerkin schemes. Zbl 1115.65100 Dumbser, Michael; Munz, Claus-Dieter 82 2006 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. Zbl 1376.76028 Tavelli, Maurizio; Dumbser, Michael 80 2017 A simple robust and accurate a posteriori sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes. Zbl 1349.65447 Dumbser, Michael; Loubère, Raphaël 79 2016 The discontinuous Galerkin method with Lax–Wendroff type time discretizations. Zbl 1093.76038 Qiu, Jianxian; Dumbser, Michael; Shu, Chi-Wang 73 2005 Space-time adaptive ADER discontinuous Galerkin finite element schemes with a posteriori sub-cell finite volume limiting. Zbl 1390.76381 Zanotti, Olindo; Fambri, Francesco; Dumbser, Michael; Hidalgo, Arturo 71 2015 A new family of high order unstructured MOOD and ADER finite volume schemes for multidimensional systems of hyperbolic conservation laws. Zbl 1373.76137 Loubère, Raphaël; Dumbser, Michael; Diot, Steven 71 2014 ADER schemes for nonlinear systems of stiff advection-diffusion-reaction equations. Zbl 1221.65231 Hidalgo, Arturo; Dumbser, Michael 67 2011 Central weighted ENO schemes for hyperbolic conservation laws on fixed and moving unstructured meshes. Zbl 1377.65115 Dumbser, Michael; Boscheri, Walter; Semplice, Matteo; Russo, Giovanni 65 2017 Divergence-free MHD on unstructured meshes using high order finite volume schemes based on multidimensional Riemann solvers. Zbl 1351.76092 Balsara, Dinshaw S.; Dumbser, Michael 61 2015 Arbitrary-Lagrangian-Eulerian discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes. Zbl 1378.76044 Boscheri, Walter; Dumbser, Michael 59 2017 A conservative, weakly nonlinear semi-implicit finite volume scheme for the compressible Navier-Stokes equations with general equation of state. Zbl 1410.76220 Dumbser, Michael; Casulli, Vincenzo 58 2016 High order direct arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes. Zbl 07504692 Gaburro, Elena; Boscheri, Walter; Chiocchetti, Simone; Klingenberg, Christian; Springel, Volker; Dumbser, Michael 57 2020 High order space-time adaptive ADER-WENO finite volume schemes for non-conservative hyperbolic systems. Zbl 1295.65088 Dumbser, Michael; Hidalgo, Arturo; Zanotti, Olindo 55 2014 A sub-cell based indicator for troubled zones in RKDG schemes and a novel class of hybrid RKDG+HWENO schemes. Zbl 1124.65072 Balsara, Dinshaw S.; Altmann, Christoph; Munz, Claus-Dieter; Dumbser, Michael 55 2007 Fast high order ADER schemes for linear hyperbolic equations. Zbl 1052.65078 Schwartzkopff, Thomas; Dumbser, Michael; Munz, Claus-Dieter 54 2004 A staggered space-time discontinuous Galerkin method for the three-dimensional incompressible Navier-Stokes equations on unstructured tetrahedral meshes. Zbl 1349.76271 Tavelli, Maurizio; Dumbser, Michael 54 2016 Multidimensional Riemann problem with self-similar internal structure. Part II: Application to hyperbolic conservation laws on unstructured meshes. Zbl 1351.76091 Balsara, Dinshaw S.; Dumbser, Michael 54 2015 Arbitrary-Lagrangian-Eulerian one-step WENO finite volume schemes on unstructured triangular meshes. Zbl 1388.65075 Boscheri, Walter; Dumbser, Michael 54 2013 A matrix stability analysis of the carbuncle phenomenon. Zbl 1079.76607 Dumbser, Michael; Moschetta, Jean-Marc; Gressier, Jérémie 53 2004 A staggered semi-implicit spectral discontinuous Galerkin scheme for the shallow water equations. Zbl 1366.76050 Dumbser, Michael; Casulli, Vincenzo 49 2013 FORCE schemes on unstructured meshes. I: Conservative hyperbolic systems. Zbl 1168.65377 Toro, Eleuterio F.; Hidalgo, Arturo; Dumbser, Michael 49 2008 High-order unstructured Lagrangian one-step WENO finite volume schemes for non-conservative hyperbolic systems: applications to compressible multi-phase flows. Zbl 1290.76081 Dumbser, Michael; Boscheri, Walter 48 2013 A high order semi-implicit discontinuous Galerkin method for the two dimensional shallow water equations on staggered unstructured meshes. Zbl 1298.76120 Tavelli, Maurizio; Dumbser, Michael 48 2014 Lagrangian ADER-WENO finite volume schemes on unstructured triangular meshes based on genuinely multidimensional HLL Riemann solvers. Zbl 1349.76309 Boscheri, Walter; Balsara, Dinshaw S.; Dumbser, Michael 47 2014 Direct arbitrary-Lagrangian-Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws. Zbl 1349.76312 Boscheri, Walter; Loubère, Raphaël; Dumbser, Michael 43 2015 A staggered semi-implicit discontinuous Galerkin method for the two dimensional incompressible Navier-Stokes equations. Zbl 1338.76068 Tavelli, Maurizio; Dumbser, Michael 42 2014 ADER discontinuous Galerkin schemes for aeroacoustics. Zbl 1107.76044 Dumbser, Michael; Munz, Claus-Dieter 40 2005 A new class of moving-least-squares WENO-SPH schemes. Zbl 1349.76661 Avesani, Diego; Dumbser, Michael; Bellin, Alberto 40 2014 Explicit one-step time discretizations for discontinuous Galerkin and finite volume schemes based on local predictors. Zbl 1220.65122 Gassner, Gregor; Dumbser, Michael; Hindenlang, Florian; Munz, Claus-Dieter 39 2011 Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems. Zbl 1519.76140 Busto, S.; Tavelli, M.; Boscheri, W.; Dumbser, M. 37 2020 Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms. Zbl 1284.35268 Montecinos, G.; Castro, C. E.; Dumbser, M.; Toro, E. F. 36 2012 A staggered space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations on two-dimensional triangular meshes. Zbl 1390.76360 Tavelli, Maurizio; Dumbser, Michael 36 2015 A high-order discontinuous Galerkin method with time-accurate local time stepping for the Maxwell equations. Zbl 1156.78012 Taube, Arne; Dumbser, Michael; Munz, Claus-Dieter; Schneider, Rudolf 35 2009 A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows. Zbl 07508366 Bermúdez, A.; Busto, S.; Dumbser, M.; Ferrín, J. L.; Saavedra, L.; Vázquez-Cendón, M. E. 35 2020 A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics. Zbl 07508471 Boscheri, W.; Dumbser, M.; Ioriatti, M.; Peshkov, I.; Romenski, E. 35 2021 A semi-implicit hybrid finite volume/finite element scheme for all Mach number flows on staggered unstructured meshes. Zbl 1510.76082 Busto, S.; Río-Martín, L.; Vázquez-Cendón, M. E.; Dumbser, M. 35 2021 On high order ADER discontinuous Galerkin schemes for first order hyperbolic reformulations of nonlinear dispersive systems. Zbl 1465.76060 Busto, Saray; Dumbser, Michael; Escalante, Cipriano; Favrie, Nicolas; Gavrilyuk, Sergey 33 2021 Cell centered direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes for nonlinear hyperelasticity. Zbl 1390.76399 Boscheri, Walter; Dumbser, Michael; Loubère, Raphaël 31 2016 Spectral semi-implicit and space-time discontinuous Galerkin methods for the incompressible Navier-Stokes equations on staggered Cartesian grids. Zbl 1432.76157 Fambri, Francesco; Dumbser, Michael 30 2016 Efficient implementation of ADER discontinuous Galerkin schemes for a scalable hyperbolic PDE engine. Zbl 1434.65179 Dumbser, Michael; Fambri, Francesco; Tavelli, Maurizio; Bader, Michael; Weinzierl, Tobias 29 2018 Construction and comparison of parallel implicit kinetic solvers in three spatial dimensions. Zbl 1349.76741 Titarev, Vladimir; Dumbser, Michael; Utyuzhnikov, Sergey 29 2014 On thermodynamically compatible finite volume methods and path-conservative ADER discontinuous Galerkin schemes for turbulent shallow water flows. Zbl 1501.65047 Busto, Saray; Dumbser, Michael; Gavrilyuk, Sergey; Ivanova, Kseniya 29 2021 Linearized acoustic perturbation equations for low Mach number flow with variable density and temperature. Zbl 1261.76049 Munz, Claus-Dieter; Dumbser, Michael; Roller, Sabine 28 2007 Arbitrary high order central non-oscillatory schemes on mixed-element unstructured meshes. Zbl 1521.76372 Tsoutsanis, Panagiotis; Dumbser, Michael 28 2021 Central WENO subcell finite volume limiters for ADER discontinuous Galerkin schemes on fixed and moving unstructured meshes. Zbl 1474.65307 Boscheri, Walter; Semplice, Matteo; Dumbser, Michael 28 2019 Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity. Zbl 1452.74022 Peshkov, Ilya; Boscheri, Walter; Loubère, Raphaël; Romenski, Evgeniy; Dumbser, Michael 27 2019 Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes with time-accurate local time stepping for hyperbolic conservation laws. Zbl 1423.76296 Dumbser, Michael 27 2014 Efficient implementation of high order unstructured WENO schemes for cavitating flows. Zbl 1290.76098 Dumbser, Michael; Iben, Uwe; Munz, Claus-Dieter 26 2013 Arbitrary high-order discontinuous Galerkin schemes for the magnetohydrodynamic equations. Zbl 1176.76075 Taube, Arne; Dumbser, Michael; Balsara, Dinshaw S.; Munz, Claus-Dieter 26 2007 A simple diffuse interface approach for compressible flows around moving solids of arbitrary shape based on a reduced Baer-Nunziato model. Zbl 1519.76176 Kemm, Friedemann; Gaburro, Elena; Thein, Ferdinand; Dumbser, Michael 26 2020 Direct arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming unstructured meshes. Zbl 1390.76433 Gaburro, Elena; Dumbser, Michael; Castro, Manuel J. 26 2017 A semi-implicit scheme for 3D free surface flows with high-order velocity reconstruction on unstructured Voronoi meshes. Zbl 1455.76104 Boscheri, Walter; Dumbser, M.; Righetti, M. 24 2013 Semi-implicit numerical modeling of axially symmetric flows in compliant arterial systems. Zbl 1242.92019 Casulli, Vincenzo; Dumbser, Michael; Toro, Eleuterio F. 24 2012 Arbitrary high order discontinuous Galerkin schemes. Zbl 1210.65165 Dumbser, M.; Munz, C.-D. 24 2005 A second-order cell-centered Lagrangian ADER-MOOD finite volume scheme on multidimensional unstructured meshes for hydrodynamics. Zbl 1381.76212 Boscheri, Walter; Dumbser, Michael; Loubère, Raphaël; Maire, Pierre-Henri 23 2018 Semi-implicit discontinuous Galerkin methods for the incompressible Navier-Stokes equations on adaptive staggered Cartesian grids. Zbl 1439.76066 Fambri, Francesco; Dumbser, Michael 23 2017 High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension. Zbl 07510040 Chiocchetti, Simone; Peshkov, Ilya; Gavrilyuk, Sergey; Dumbser, Michael 23 2021 On arbitrary-Lagrangian-Eulerian one-step WENO schemes for stiff hyperbolic balance laws. Zbl 1373.76126 Dumbser, Michael; Uuriintsetseg, Ariunaa; Zanotti, Olindo 23 2013 ExaHyPE: an engine for parallel dynamically adaptive simulations of wave problems. Zbl 1535.65004 Reinarz, Anne; Charrier, Dominic E.; Bader, Michael; Bovard, Luke; Dumbser, Michael; Duru, Kenneth; Fambri, Francesco; Gabriel, Alice-Agnes; Gallard, Jean-Matthieu; Köppel, Sven; Krenz, Lukas; Rannabauer, Leonhard; Rezzolla, Luciano; Samfass, Philipp; Tavelli, Maurizio; Weinzierl, Tobias 23 2020 A simple two-phase method for the simulation of complex free surface flows. Zbl 1225.76210 Dumbser, Michael 22 2011 On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations. Zbl 1453.85002 Dumbser, Michael; Fambri, Francesco; Gaburro, Elena; Reinarz, Anne 22 2020 A high order special relativistic hydrodynamic and magnetohydrodynamic code with space-time adaptive mesh refinement. Zbl 1344.76058 Zanotti, Olindo; Dumbser, Michael 22 2015 A well balanced diffuse interface method for complex nonhydrostatic free surface flows. Zbl 1410.76224 Gaburro, Elena; Castro, Manuel J.; Dumbser, Michael 22 2018 A diffuse interface method for complex three-dimensional free surface flows. Zbl 1286.76099 Dumbser, Michael 21 2013 A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics. Zbl 1510.76098 Abgrall, Rémi; Busto, Saray; Dumbser, Michael 21 2023 Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations: spectral analysis and computational results. Zbl 1513.65356 Dumbser, M.; Fambri, F.; Furci, I.; Mazza, M.; Serra-Capizzano, S.; Tavelli, M. 21 2018 A hyperbolic reformulation of the Serre-Green-Naghdi model for general bottom topographies. Zbl 1502.76014 Bassi, C.; Bonaventura, L.; Busto, S.; Dumbser, M. 20 2020 On thermodynamically compatible finite volume schemes for continuum mechanics. Zbl 07556268 Busto, Saray; Dumbser, Michael; Peshkov, Ilya; Romenski, Evgeniy 20 2022 An efficient semi-implicit finite volume method for axially symmetric compressible flows in compliant tubes. Zbl 1326.76070 Dumbser, Michael; Iben, Uwe; Ioriatti, Matteo 19 2015 An efficient hyperbolic relaxation system for dispersive non-hydrostatic water waves and its solution with high order discontinuous Galerkin schemes. Zbl 1452.65188 Escalante, C.; Dumbser, M.; Castro, M. J. 19 2019 A staggered semi-implicit hybrid finite volume / finite element scheme for the shallow water equations at all Froude numbers. Zbl 1485.76056 Busto, S.; Dumbser, M. 19 2022 A space-time discontinuous Galerkin method for Boussinesq-type equations. Zbl 1410.76167 Dumbser, M.; Facchini, M. 18 2016 A posteriori subcell finite volume limiter for general \(P_NP_M\) schemes: applications from gasdynamics to relativistic magnetohydrodynamics. Zbl 1475.65091 Gaburro, Elena; Dumbser, Michael 18 2021 A new continuum model for general relativistic viscous heat-conducting media. Zbl 1462.82032 Romenski, E.; Peshkov, I.; Dumbser, M.; Fambri, F. 18 2020 High order accurate direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes on moving curvilinear unstructured meshes. Zbl 1390.76398 Boscheri, Walter; Dumbser, Michael 18 2016 High order cell-centered Lagrangian-type finite volume schemes with time-accurate local time stepping on unstructured triangular meshes. Zbl 1349.76311 Boscheri, Walter; Dumbser, Michael; Zanotti, Olindo 18 2015 High-order unstructured one-step \(P_{N}P_{M}\) schemes for the viscous and resistive MHD equations. Zbl 1231.76345 Dumbser, M.; Balsara, D. S. 17 2009 Space-time adaptive ADER discontinuous Galerkin schemes for nonlinear hyperelasticity with material failure. Zbl 07508383 Tavelli, Maurizio; Chiocchetti, Simone; Romenski, Evgeniy; Gabriel, Alice-Agnes; Dumbser, Michael 16 2020 A two-dimensional Riemann solver with self-similar sub-structure - alternative formulation based on least squares projection. Zbl 1349.76157 Balsara, Dinshaw S.; Vides, Jeaniffer; Gurski, Katharine; Nkonga, Boniface; Dumbser, Michael; Garain, Sudip; Audit, Edouard 16 2016 Three-dimensional flow evolution after a dam break. Zbl 1205.76228 Ferrari, A.; Fraccarollo, L.; Dumbser, M.; Toro, E. F.; Armanini, A. 15 2010 An all Mach number semi-implicit hybrid finite volume/virtual element method for compressible viscous flows on Voronoi meshes. Zbl 07967166 Boscheri, Walter; Busto, Saray; Dumbser, Michael 1 2025 A unified HTC multiphase model of continuum mechanics. Zbl 07974293 Ferrari, Davide; Peshkov, Ilya; Romenski, Evgeniy; Dumbser, Michael 1 2025 A well-balanced discontinuous Galerkin method for the first-order Z4 formulation of the Einstein-Euler system. Zbl 07842861 Dumbser, Michael; Zanotti, Olindo; Gaburro, Elena; Peshkov, Ilya 8 2024 A new class of simple, general and efficient finite volume schemes for overdetermined thermodynamically compatible hyperbolic systems. Zbl 07902373 Busto, Saray; Dumbser, Michael 4 2024 A divergence-free hybrid finite volume / finite element scheme for the incompressible MHD equations based on compatible finite element spaces with a posteriori limiting. Zbl 07856309 Zampa, E.; Busto, S.; Dumbser, M. 2 2024 High-order ADER discontinuous Galerkin schemes for a symmetric hyperbolic model of compressible barotropic two-fluid flows. Zbl 07902387 Río-Martín, Laura; Dumbser, Michael 1 2024 The ADER approach for approximating hyperbolic equations to very high accuracy. Zbl 1548.76151 Toro, Eleuterio F.; Titarev, Vladimir; Dumbser, Michael; Iske, Armin; Goetz, Claus R.; Castro, Cristóbal E.; Montecinos, Gino I.; Demattè, Riccardo 1 2024 A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics. Zbl 1510.76098 Abgrall, Rémi; Busto, Saray; Dumbser, Michael 21 2023 An arbitrary-Lagrangian-Eulerian hybrid finite volume/finite element method on moving unstructured meshes for the Navier-Stokes equations. Zbl 1510.76081 Busto, S.; Dumbser, M.; Río-Martín, L. 11 2023 A new thermodynamically compatible finite volume scheme for magnetohydrodynamics. Zbl 07670867 Busto, Saray; Dumbser, Michael 11 2023 Thermodynamically compatible discretization of a compressible two-fluid model with two entropy inequalities. Zbl 07742008 Thomann, Andrea; Dumbser, Michael 9 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. Zbl 07682799 Chiocchetti, Simone; Dumbser, Michael 9 2023 A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume / finite element scheme for the incompressible MHD equations. Zbl 07748072 Fambri, F.; Zampa, E.; Busto, S.; Río-Martín, L.; Hindenlang, F.; Sonnendrücker, E.; Dumbser, M. 6 2023 An implicit staggered hybrid finite volume/finite element solver for the incompressible Navier-Stokes equations. Zbl 1527.65079 Lucca, Alessia; Busto, Saray; Dumbser, Michael 6 2023 Curl constraint-preserving reconstruction and the guidance it gives for mimetic scheme design. Zbl 1524.35142 Balsara, Dinshaw S.; Käppeli, Roger; Boscheri, Walter; Dumbser, Michael 5 2023 On thermodynamically compatible finite volume schemes for continuum mechanics. Zbl 07556268 Busto, Saray; Dumbser, Michael; Peshkov, Ilya; Romenski, Evgeniy 20 2022 A staggered semi-implicit hybrid finite volume / finite element scheme for the shallow water equations at all Froude numbers. Zbl 1485.76056 Busto, S.; Dumbser, M. 19 2022 Exact and numerical solutions of the Riemann problem for a conservative model of compressible two-phase flows. Zbl 1504.35184 Thein, Ferdinand; Romenski, Evgeniy; Dumbser, Michael 13 2022 Continuous finite element subgrid basis functions for discontinuous Galerkin schemes on unstructured polygonal Voronoi meshes. Zbl 1492.65261 Boscheri, Walter; Dumbser, Michael; Gaburro, Elena 12 2022 A first order hyperbolic reformulation of the Navier-Stokes-Korteweg system based on the GPR model and an augmented Lagrangian approach. Zbl 07599597 Dhaouadi, Firas; Dumbser, Michael 10 2022 An arbitrary high order well-balanced ADER-DG numerical scheme for the multilayer shallow-water model with variable density. Zbl 07454834 Fernández, E. Guerrero; Díaz, M. J. Castro; Dumbser, M.; de Luna, T. Morales 8 2022 A new family of thermodynamically compatible discontinuous Galerkin methods for continuum mechanics and turbulent shallow water flows. Zbl 1503.65223 Busto, Saray; Dumbser, Michael 3 2022 A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics. Zbl 07508471 Boscheri, W.; Dumbser, M.; Ioriatti, M.; Peshkov, I.; Romenski, E. 35 2021 A semi-implicit hybrid finite volume/finite element scheme for all Mach number flows on staggered unstructured meshes. Zbl 1510.76082 Busto, S.; Río-Martín, L.; Vázquez-Cendón, M. E.; Dumbser, M. 35 2021 On high order ADER discontinuous Galerkin schemes for first order hyperbolic reformulations of nonlinear dispersive systems. Zbl 1465.76060 Busto, Saray; Dumbser, Michael; Escalante, Cipriano; Favrie, Nicolas; Gavrilyuk, Sergey 33 2021 On thermodynamically compatible finite volume methods and path-conservative ADER discontinuous Galerkin schemes for turbulent shallow water flows. Zbl 1501.65047 Busto, Saray; Dumbser, Michael; Gavrilyuk, Sergey; Ivanova, Kseniya 29 2021 Arbitrary high order central non-oscillatory schemes on mixed-element unstructured meshes. Zbl 1521.76372 Tsoutsanis, Panagiotis; Dumbser, Michael 28 2021 High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension. Zbl 07510040 Chiocchetti, Simone; Peshkov, Ilya; Gavrilyuk, Sergey; Dumbser, Michael 23 2021 A posteriori subcell finite volume limiter for general \(P_NP_M\) schemes: applications from gasdynamics to relativistic magnetohydrodynamics. Zbl 1475.65091 Gaburro, Elena; Dumbser, Michael 18 2021 Simulation of non-Newtonian viscoplastic flows with a unified first order hyperbolic model and a structure-preserving semi-implicit scheme. Zbl 1521.76573 Peshkov, Ilya; Dumbser, Michael; Boscheri, Walter; Romenski, Evgeniy; Chiocchetti, Simone; Ioriatti, Matteo 15 2021 An alternative SPH formulation: ADER-WENO-SPH. Zbl 1506.76123 Avesani, Diego; Dumbser, Michael; Vacondio, Renato; Righetti, Maurizio 8 2021 A well balanced finite volume scheme for general relativity. Zbl 07456293 Gaburro, Elena; Castro, Manuel J.; Dumbser, Michael 8 2021 A novel staggered semi-implicit space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations. Zbl 1499.65521 Romeo, F. L.; Dumbser, M.; Tavelli, M. 2 2021 High order direct arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes. Zbl 07504692 Gaburro, Elena; Boscheri, Walter; Chiocchetti, Simone; Klingenberg, Christian; Springel, Volker; Dumbser, Michael 57 2020 Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems. Zbl 1519.76140 Busto, S.; Tavelli, M.; Boscheri, W.; Dumbser, M. 37 2020 A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows. Zbl 07508366 Bermúdez, A.; Busto, S.; Dumbser, M.; Ferrín, J. L.; Saavedra, L.; Vázquez-Cendón, M. E. 35 2020 A simple diffuse interface approach for compressible flows around moving solids of arbitrary shape based on a reduced Baer-Nunziato model. Zbl 1519.76176 Kemm, Friedemann; Gaburro, Elena; Thein, Ferdinand; Dumbser, Michael 26 2020 ExaHyPE: an engine for parallel dynamically adaptive simulations of wave problems. Zbl 1535.65004 Reinarz, Anne; Charrier, Dominic E.; Bader, Michael; Bovard, Luke; Dumbser, Michael; Duru, Kenneth; Fambri, Francesco; Gabriel, Alice-Agnes; Gallard, Jean-Matthieu; Köppel, Sven; Krenz, Lukas; Rannabauer, Leonhard; Rezzolla, Luciano; Samfass, Philipp; Tavelli, Maurizio; Weinzierl, Tobias 23 2020 On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations. Zbl 1453.85002 Dumbser, Michael; Fambri, Francesco; Gaburro, Elena; Reinarz, Anne 22 2020 A hyperbolic reformulation of the Serre-Green-Naghdi model for general bottom topographies. Zbl 1502.76014 Bassi, C.; Bonaventura, L.; Busto, S.; Dumbser, M. 20 2020 A new continuum model for general relativistic viscous heat-conducting media. Zbl 1462.82032 Romenski, E.; Peshkov, I.; Dumbser, M.; Fambri, F. 18 2020 Space-time adaptive ADER discontinuous Galerkin schemes for nonlinear hyperelasticity with material failure. Zbl 07508383 Tavelli, Maurizio; Chiocchetti, Simone; Romenski, Evgeniy; Gabriel, Alice-Agnes; Dumbser, Michael 16 2020 Modeling wavefields in saturated elastic porous media based on thermodynamically compatible system theory for two-phase solid-fluid mixtures. Zbl 1519.76219 Romenski, Evgeniy; Reshetova, Galina; Peshkov, Ilya; Dumbser, Michael 8 2020 Continuum mechanics, applied mathematics and scientific computing: Godunov’s legacy. A liber amicorum to Professor Godunov dedicated to his 90th birthday. Zbl 1467.74005 4 2020 High order ADER-DG schemes for the simulation of linear seismic waves induced by nonlinear dispersive free-surface water waves. Zbl 1447.74042 Bassi, C.; Busto, S.; Dumbser, M. 4 2020 A staggered semi-implicit discontinuous Galerkin scheme with a posteriori subcell finite volume limiter for the Euler equations of gasdynamics. Zbl 1434.76068 Ioriatti, Matteo; Dumbser, Michael; Loubère, Raphaël 2 2020 Central WENO subcell finite volume limiters for ADER discontinuous Galerkin schemes on fixed and moving unstructured meshes. Zbl 1474.65307 Boscheri, Walter; Semplice, Matteo; Dumbser, Michael 28 2019 Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity. Zbl 1452.74022 Peshkov, Ilya; Boscheri, Walter; Loubère, Raphaël; Romenski, Evgeniy; Dumbser, Michael 27 2019 An efficient hyperbolic relaxation system for dispersive non-hydrostatic water waves and its solution with high order discontinuous Galerkin schemes. Zbl 1452.65188 Escalante, C.; Dumbser, M.; Castro, M. J. 19 2019 A simple diffuse interface approach on adaptive Cartesian grids for the linear elastic wave equations with complex topography. Zbl 1452.74113 Tavelli, Maurizio; Dumbser, Michael; Charrier, Dominic Etienne; Rannabauer, Leonhard; Weinzierl, Tobias; Bader, Michael 14 2019 A posteriori sub-cell finite volume limiting of staggered semi-implicit discontinuous Galerkin schemes for the shallow water equations. Zbl 1403.76046 Ioriatti, Matteo; Dumbser, Michael 11 2019 FORCE schemes on moving unstructured meshes for hyperbolic systems. Zbl 1442.65191 Boscheri, Walter; Dumbser, Michael; Righetti, Maurizio 2 2019 Efficient implementation of ADER discontinuous Galerkin schemes for a scalable hyperbolic PDE engine. Zbl 1434.65179 Dumbser, Michael; Fambri, Francesco; Tavelli, Maurizio; Bader, Michael; Weinzierl, Tobias 29 2018 A second-order cell-centered Lagrangian ADER-MOOD finite volume scheme on multidimensional unstructured meshes for hydrodynamics. Zbl 1381.76212 Boscheri, Walter; Dumbser, Michael; Loubère, Raphaël; Maire, Pierre-Henri 23 2018 A well balanced diffuse interface method for complex nonhydrostatic free surface flows. Zbl 1410.76224 Gaburro, Elena; Castro, Manuel J.; Dumbser, Michael 22 2018 Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations: spectral analysis and computational results. Zbl 1513.65356 Dumbser, M.; Fambri, F.; Furci, I.; Mazza, M.; Serra-Capizzano, S.; Tavelli, M. 21 2018 Arbitrary high order accurate space-time discontinuous Galerkin finite element schemes on staggered unstructured meshes for linear elasticity. Zbl 1406.74647 Tavelli, Maurizio; Dumbser, Michael 15 2018 A family of HLL-type solvers for the generalized Riemann problem. Zbl 1410.76228 Goetz, Claus R.; Balsara, Dinshaw S.; Dumbser, Michael 15 2018 A unified hyperbolic formulation for viscous fluids and elastoplastic solids. Zbl 1417.35191 Dumbser, Michael; Peshkov, Ilya; Romenski, Evgeniy 11 2018 ADER-DG with a-posteriori finite-volume limiting to simulate tsunamis in a parallel adaptive mesh refinement framework. Zbl 1410.86006 Rannabauer, Leonhard; Dumbser, Michael; Bader, Michael 11 2018 Semi-implicit staggered discontinuous Galerkin schemes for axially symmetric viscous compressible flows in elastic tubes. Zbl 1390.76322 Ioriatti, Matteo; Dumbser, Michael 7 2018 Reprint of: “Direct arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming unstructured meshes”. Zbl 1391.76406 Gaburro, Elena; Dumbser, Michael; Castro, Manuel J. 2 2018 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. Zbl 1376.76028 Tavelli, Maurizio; Dumbser, Michael 80 2017 Central weighted ENO schemes for hyperbolic conservation laws on fixed and moving unstructured meshes. Zbl 1377.65115 Dumbser, Michael; Boscheri, Walter; Semplice, Matteo; Russo, Giovanni 65 2017 Arbitrary-Lagrangian-Eulerian discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes. Zbl 1378.76044 Boscheri, Walter; Dumbser, Michael 59 2017 Direct arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming unstructured meshes. Zbl 1390.76433 Gaburro, Elena; Dumbser, Michael; Castro, Manuel J. 26 2017 Semi-implicit discontinuous Galerkin methods for the incompressible Navier-Stokes equations on adaptive staggered Cartesian grids. Zbl 1439.76066 Fambri, Francesco; Dumbser, Michael 23 2017 A well-balanced path conservative SPH scheme for nonconservative hyperbolic systems with applications to shallow water and multi-phase flows. Zbl 1390.76760 Rossi, Giulia; Dumbser, Michael; Armanini, Aronne 8 2017 A comparison of explicit and semi-implicit finite volume schemes for viscous compressible flows in elastic pipes in fast transient regime. Zbl 07776755 Ioriatti, Matteo; Dumbser, Michael; Iben, Uwe 6 2017 An alternative smooth particle hydrodynamics formulation to simulate chemotaxis in porous media. Zbl 1360.76210 Avesani, Diego; Dumbser, Michael; Chiogna, Gabriele; Bellin, Alberto 5 2017 High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids. Zbl 1349.76324 Dumbser, Michael; Peshkov, Ilya; Romenski, Evgeniy; Zanotti, Olindo 100 2016 A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems. Zbl 1349.76603 Dumbser, Michael; Balsara, Dinshaw S. 91 2016 A simple robust and accurate a posteriori sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes. Zbl 1349.65447 Dumbser, Michael; Loubère, Raphaël 79 2016 A conservative, weakly nonlinear semi-implicit finite volume scheme for the compressible Navier-Stokes equations with general equation of state. Zbl 1410.76220 Dumbser, Michael; Casulli, Vincenzo 58 2016 A staggered space-time discontinuous Galerkin method for the three-dimensional incompressible Navier-Stokes equations on unstructured tetrahedral meshes. Zbl 1349.76271 Tavelli, Maurizio; Dumbser, Michael 54 2016 Cell centered direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes for nonlinear hyperelasticity. Zbl 1390.76399 Boscheri, Walter; Dumbser, Michael; Loubère, Raphaël 31 2016 Spectral semi-implicit and space-time discontinuous Galerkin methods for the incompressible Navier-Stokes equations on staggered Cartesian grids. Zbl 1432.76157 Fambri, Francesco; Dumbser, Michael 30 2016 A space-time discontinuous Galerkin method for Boussinesq-type equations. Zbl 1410.76167 Dumbser, M.; Facchini, M. 18 2016 High order accurate direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes on moving curvilinear unstructured meshes. Zbl 1390.76398 Boscheri, Walter; Dumbser, Michael 18 2016 A two-dimensional Riemann solver with self-similar sub-structure - alternative formulation based on least squares projection. Zbl 1349.76157 Balsara, Dinshaw S.; Vides, Jeaniffer; Gurski, Katharine; Nkonga, Boniface; Dumbser, Michael; Garain, Sudip; Audit, Edouard 16 2016 A novel solver for the generalized Riemann problem based on a simplified LeFloch-Raviart expansion and a local space-time discontinuous Galerkin formulation. Zbl 1368.65155 Goetz, Claus R.; Dumbser, Michael 15 2016 An efficient quadrature-free formulation for high order arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes on unstructured meshes. Zbl 1338.65219 Boscheri, Walter; Dumbser, Michael 14 2016 A path-conservative Osher-type scheme for axially symmetric compressible flows in flexible visco-elastic tubes. Zbl 1381.76219 Leibinger, Julia; Dumbser, Michael; Iben, Uwe; Wayand, Isabell 9 2016 Space-time adaptive ADER discontinuous Galerkin finite element schemes with a posteriori sub-cell finite volume limiting. Zbl 1390.76381 Zanotti, Olindo; Fambri, Francesco; Dumbser, Michael; Hidalgo, Arturo 71 2015 Divergence-free MHD on unstructured meshes using high order finite volume schemes based on multidimensional Riemann solvers. Zbl 1351.76092 Balsara, Dinshaw S.; Dumbser, Michael 61 2015 Multidimensional Riemann problem with self-similar internal structure. Part II: Application to hyperbolic conservation laws on unstructured meshes. Zbl 1351.76091 Balsara, Dinshaw S.; Dumbser, Michael 54 2015 Direct arbitrary-Lagrangian-Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws. Zbl 1349.76312 Boscheri, Walter; Loubère, Raphaël; Dumbser, Michael 43 2015 A staggered space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations on two-dimensional triangular meshes. Zbl 1390.76360 Tavelli, Maurizio; Dumbser, Michael 36 2015 A high order special relativistic hydrodynamic and magnetohydrodynamic code with space-time adaptive mesh refinement. Zbl 1344.76058 Zanotti, Olindo; Dumbser, Michael 22 2015 An efficient semi-implicit finite volume method for axially symmetric compressible flows in compliant tubes. Zbl 1326.76070 Dumbser, Michael; Iben, Uwe; Ioriatti, Matteo 19 2015 High order cell-centered Lagrangian-type finite volume schemes with time-accurate local time stepping on unstructured triangular meshes. Zbl 1349.76311 Boscheri, Walter; Dumbser, Michael; Zanotti, Olindo 18 2015 A path-conservative finite volume scheme for compressible multi-phase flows with surface tension. Zbl 1410.76463 Nguyen, Nguyen T.; Dumbser, Michael 4 2015 A posteriori subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws. Zbl 1349.65448 Dumbser, Michael; Zanotti, Olindo; Loubère, Raphaël; Diot, Steven 200 2014 Multidimensional HLLC Riemann solver for unstructured meshes – with application to Euler and MHD flows. Zbl 1349.76426 Balsara, Dinshaw S.; Dumbser, Michael; Abgrall, Remi 93 2014 A direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume scheme on unstructured tetrahedral meshes for conservative and non-conservative hyperbolic systems in 3D. Zbl 1349.76310 Boscheri, Walter; Dumbser, Michael 83 2014 A new family of high order unstructured MOOD and ADER finite volume schemes for multidimensional systems of hyperbolic conservation laws. Zbl 1373.76137 Loubère, Raphaël; Dumbser, Michael; Diot, Steven 71 2014 High order space-time adaptive ADER-WENO finite volume schemes for non-conservative hyperbolic systems. Zbl 1295.65088 Dumbser, Michael; Hidalgo, Arturo; Zanotti, Olindo 55 2014 A high order semi-implicit discontinuous Galerkin method for the two dimensional shallow water equations on staggered unstructured meshes. Zbl 1298.76120 Tavelli, Maurizio; Dumbser, Michael 48 2014 Lagrangian ADER-WENO finite volume schemes on unstructured triangular meshes based on genuinely multidimensional HLL Riemann solvers. Zbl 1349.76309 Boscheri, Walter; Balsara, Dinshaw S.; Dumbser, Michael 47 2014 A staggered semi-implicit discontinuous Galerkin method for the two dimensional incompressible Navier-Stokes equations. Zbl 1338.76068 Tavelli, Maurizio; Dumbser, Michael 42 2014 ...and 56 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,660 Authors 158 Dumbser, Michael 62 Toro, Eleuterio Francisco 55 Boscheri, Walter 53 Qiu, Jianxian 49 Zhu, Jun 46 Balsara, Dinshaw S. 41 Shu, Chi-Wang 40 Munz, Claus-Dieter 33 Loubère, Raphaël 25 Busto, Saray 25 Titarev, Vladimir A. 22 Tavelli, Maurizio 21 Luo, Hong 21 Montecinos, Gino I. 20 Fu, Lin 20 Gassner, Gregor J. 20 Xu, Kun 19 Clain, Stéphane Louis 19 Parés Madroñal, Carlos 19 Tsoutsanis, Panagiotis 18 Castro, Manuel J. 18 Peshkov, Ilya M. 17 Abgrall, Rémi 17 Chandrashekar, Praveen 17 Deng, Xi 17 Ren, Yuxin 17 Xiao, Feng 16 Gaburro, Elena 16 Liu, Tiegang 16 Nogueira, Xesús 15 Hidalgo, Arturo 15 Müller, Lucas Omar 14 Romenskii, Evgenii I. 14 Russo, Giovanni 14 Semplice, Matteo 13 Dimarco, Giacomo 13 Gavrilyuk, Sergey L. 13 Lombard, Bruno 13 Maire, Pierre-Henri 13 Yu, Xijun 12 Kuzmin, Dmitri 12 Li, Jiequan 12 Morgan, Nathaniel R. 12 Serra-Capizzano, Stefano 12 Yan, Chao 11 Christlieb, Andrew J. 11 Kurganov, Alexander 11 Nkonga, Boniface 11 Pan, Liang 11 Seal, David C. 11 Zhao, Xiaolong 11 Zou, Shijun 10 Adams, Nikolaus A. 10 Beck, Andrea D. 10 Li, Wanai 10 Liang, Tian 10 Murillo, Javier 10 Qu, Feng 10 Sun, Di 10 Vázquez-Cendón, María Elena 10 Wu, Kailiang 10 Xie, Bin 10 Zanotti, Olindo 9 Bertaglia, Giulia 9 Chiocchetti, Simone 9 Fambri, Francesco 9 Gallardo, José M. 9 Guermond, Jean-Luc 9 Hu, Lijun 9 Hu, Xiangyu Y. 9 Jiang, Zhenhua 9 Kolev, Tzanio V. 9 Morales de Luna, Tomás 9 Navas-Montilla, Adrián 9 Pareschi, Lorenzo 9 Popov, Boyan 9 Ramirez, Luis J. 9 Tomov, Vladimir Z. 9 Wang, Qian 8 Antuono, Matteo 8 Bai, Junqiang 8 Castro-Díaz, Manuel Jesús 8 Castro, Cristóbal E. 8 Cheng, Jian 8 Colominas, Ignasi 8 Daude, Frédéric 8 Drikakis, Dimitris 8 Duru, Kenneth 8 Ji, Xing 8 Kim, Chongam 8 Klingenberg, Christian 8 Liu, Xiaodong 8 Lukáčová-Medviďová, Mária 8 Machado, Gaspar J. 8 Nourgaliev, Robert R. 8 Qing, Fang 8 Shen, Zhijun 8 Shyy, Wei 8 Tang, Huazhong 8 Tokareva, Svetlana A. ...and 2,560 more Authors all top 5 Cited in 144 Serials 640 Journal of Computational Physics 243 Computers and Fluids 162 Journal of Scientific Computing 76 Applied Mathematics and Computation 70 Computer Methods in Applied Mechanics and Engineering 50 Communications in Computational Physics 48 Computers & Mathematics with Applications 40 SIAM Journal on Scientific Computing 37 International Journal for Numerical Methods in Fluids 33 Computer Physics Communications 32 Applied Numerical Mathematics 32 Communications on Applied Mathematics and Computation 19 Applied Mathematical Modelling 18 Advances in Applied Mathematics and Mechanics 17 Journal of Computational and Applied Mathematics 15 Computational Mathematics and Mathematical Physics 14 International Journal for Numerical Methods in Engineering 13 International Journal of Computational Fluid Dynamics 12 Computational and Applied Mathematics 10 SIAM Journal on Numerical Analysis 8 Journal of Fluid Mechanics 8 Mathematical Problems in Engineering 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Mathematics and Computers in Simulation 7 Numerische Mathematik 7 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 7 Communications in Nonlinear Science and Numerical Simulation 6 Wave Motion 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 European Journal of Mechanics. B. Fluids 6 Lobachevskii Journal of Mathematics 6 Matematicheskoe Modelirovanie 6 AMM. Applied Mathematics and Mechanics. 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Electronic Transactions on Numerical Analysis 3 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 3 International Journal of Applied Mathematics and Computer Science 3 Archives of Computational Methods in Engineering 3 Results in Applied Mathematics 2 Fluid Dynamics 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 Nonlinearity 2 Quarterly of Applied Mathematics 2 Numerical Algorithms 2 Journal of Elasticity 2 Numerical Linear Algebra with Applications 2 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Computational Geosciences 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Journal of Systems Science and Complexity 2 Computational Methods in Applied Mathematics 2 Journal of Numerical Mathematics 2 Multiscale Modeling & Simulation 2 International Journal of Numerical Analysis and Modeling 2 Acta Mechanica Sinica 2 Axioms 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Journal of Theoretical and Computational Acoustics 2 SMAI Journal of Computational Mathematics 2 Water Waves 1 Acta Mechanica 1 International Journal of Engineering Science 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Engineering Mathematics 1 Journal of Statistical Physics 1 Physics Reports 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Chaos, Solitons and Fractals 1 Calcolo 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Kybernetika 1 Meccanica 1 Studies in Applied Mathematics 1 Journal of Computational Mathematics 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics ...and 44 more Serials all top 5 Cited in 34 Fields 1,442 Fluid mechanics (76-XX) 1,438 Numerical analysis (65-XX) 655 Partial differential equations (35-XX) 125 Mechanics of deformable solids (74-XX) 59 Geophysics (86-XX) 38 Statistical mechanics, structure of matter (82-XX) 37 Biology and other natural sciences (92-XX) 36 Optics, electromagnetic theory (78-XX) 31 Classical thermodynamics, heat transfer (80-XX) 16 Relativity and gravitational theory (83-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 14 Computer science (68-XX) 14 Astronomy and astrophysics (85-XX) 11 Approximations and expansions (41-XX) 10 General and overarching topics; collections (00-XX) 7 Probability theory and stochastic processes (60-XX) 7 Mechanics of particles and systems (70-XX) 6 Ordinary differential equations (34-XX) 5 Operator theory (47-XX) 5 Operations research, mathematical programming (90-XX) 4 Real functions (26-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Special functions (33-XX) 3 Statistics (62-XX) 3 Quantum theory (81-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Systems theory; control (93-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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