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: 157 Publications since 2003 9 Contributions as Editor Co-Authors: 128 Co-Authors with 159 Joint Publications 2,186 Co-Co-Authors all top 5 Co-Authors 7 single-authored 23 Munz, Claus-Dieter 22 Boscheri, Walter 18 Toro, Eleuterio Francisco 16 Busto, Saray 15 Balsara, Dinshaw S. 14 Tavelli, Maurizio 11 Romenskii, Evgenii I. 10 Peshkov, Ilya M. 10 Zanotti, Olindo 9 Fambri, Francesco 9 Gaburro, Elena 8 Castro, Manuel J. 8 Loubère, Raphaël 7 Hidalgo, Arturo 6 Ioriatti, Matteo 5 Chiocchetti, Simone 5 Gassner, Gregor J. 4 Armanini, Aronne 4 Bader, Michael 4 Casulli, Vincenzo 4 Titarev, Vladimir A. 3 Avesani, Diego 3 Després, Bruno 3 Ferrari, Angela 3 Filimon, Alexander 3 Gavrilyuk, Sergey L. 3 Hindenlang, Florian J. 3 Iben, Uwe 3 Käser, Martin 3 Rannabauer, Leonhard 3 Righetti, Maurizio 3 Río-Martín, Laura 3 Roller, Sabine 3 Schwartzkopff, Thomas 3 Vázquez-Cendón, María Elena 3 Weinzierl, Tobias 2 Abgrall, Rémi 2 Bassi, Caterina 2 Bellin, Alberto 2 Castro-Díaz, Manuel Jesús 2 Charrier, Dominic Etienne 2 Diot, Steven 2 Escalante, Cipriano 2 Fortenbach, Roland 2 Gabriel, Alice-Agnes 2 Goetz, Claus R. 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 Castro, Cristóbal E. 1 Chiogna, Gabriele 1 Demidenko, Gennadiĭ Vladimirovich 1 Dhaouadi, Firas 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 Iske, Armin 1 Ivanova, Kseniya 1 Kamm, James R. 1 Käppeli, Roger 1 Kemm, Friedemann 1 Köppel, Sven 1 Krenz, Lukas 1 Leibinger, Julia 1 Lucca, A. 1 Maire, Pierre-Henri 1 Mazza, Mariarosa 1 Meyer, Chad 1 Montecinos, Gino I. 1 Moraga, Nelson O. 1 Morales de Luna, Tomás 1 Moschetta, Jean-Marc 1 Müller, Lucas Omar 1 Nguyen, Nguyen Thanh 1 Nkonga, Boniface ...and 28 more Co-Authors all top 5 Serials 47 Journal of Computational Physics 24 Computers and Fluids 15 Journal of Scientific Computing 11 Applied Mathematics and Computation 8 Computer Methods in Applied Mechanics and Engineering 7 Applied Numerical Mathematics 7 Communications in Computational Physics 3 SIAM Journal on Scientific Computing 3 Oberwolfach Reports 3 Communications on Applied Mathematics and Computation 2 Computer Physics Communications 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 Computers & Mathematics with Applications 1 International Journal for Numerical Methods in Fluids 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 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 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 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 130 Fluid mechanics (76-XX) 122 Numerical analysis (65-XX) 47 Partial differential equations (35-XX) 19 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 Astronomy and astrophysics (85-XX) 4 Biology and other natural sciences (92-XX) 3 Optics, electromagnetic theory (78-XX) 3 Relativity and gravitational theory (83-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Operator theory (47-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 143 Publications have been cited 4,945 times in 1,577 Documents Cited by ▼ Year ▼ A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes. Zbl 1147.65075Dumbser, Michael; Balsara, Dinshaw S.; Toro, Eleuterio F.; Munz, Claus-Dieter 287 2008 Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems. Zbl 1110.65077Dumbser, Michael; Käser, Martin 237 2007 Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems. Zbl 1124.65074Dumbser, Michael; Käser, Martin; Titarev, Vladimir A.; Toro, Eleuterio F. 171 2007 A posteriori subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws. Zbl 1349.65448Dumbser, Michael; Zanotti, Olindo; Loubère, Raphaël; Diot, Steven 166 2014 Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws. Zbl 1142.65070Dumbser, Michael; Enaux, Cedric; Toro, Eleuterio F. 155 2008 Arbitrary high order \(P_{N}P_{M}\) schemes on unstructured meshes for the compressible Navier-Stokes equations. Zbl 1242.76161Dumbser, Michael 135 2010 Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics. Zbl 1275.76169Balsara, Dinshaw S.; Rumpf, Tobias; Dumbser, Michael; Munz, Claus-Dieter 134 2009 A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems. Zbl 1220.65110Dumbser, Michael; Toro, Eleuterio F. 107 2011 ADER schemes on unstructured meshes for nonconservative hyperbolic systems: applications to geophysical flows. Zbl 1177.76222Dumbser, Michael; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F. 104 2009 Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes. Zbl 1157.65453Zhu, Jun; Qiu, Jianxian; Shu, Chi-Wang; Dumbser, Michael 104 2008 High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids. Zbl 1349.76324Dumbser, Michael; Peshkov, Ilya; Romenski, Evgeniy; Zanotti, Olindo 100 2016 ADER-WENO finite volume schemes with space-time adaptive mesh refinement. Zbl 1349.76325Dumbser, Michael; Zanotti, Olindo; Hidalgo, Arturo; Balsara, Dinshaw S. 93 2013 A new 3D parallel SPH scheme for free surface flows. Zbl 1242.76270Ferrari, Angela; Dumbser, Michael; Toro, Eleuterio F.; Armanini, Aronne 90 2009 Multidimensional HLLC Riemann solver for unstructured meshes – with application to Euler and MHD flows. Zbl 1349.76426Balsara, Dinshaw S.; Dumbser, Michael; Abgrall, Remi 80 2014 On universal Osher-type schemes for general nonlinear hyperbolic conservation laws. Zbl 1373.76125Dumbser, Michael; Toro, Eleuterio F. 79 2011 Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes – speed comparisons with Runge-Kutta methods. Zbl 1291.76237Balsara, Dinshaw S.; Meyer, Chad; Dumbser, Michael; Du, Huijing; Xu, Zhiliang 77 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 1349.76310Boscheri, Walter; Dumbser, Michael 77 2014 Building blocks for arbitrary high order discontinuous Galerkin schemes. Zbl 1115.65100Dumbser, Michael; Munz, Claus-Dieter 76 2006 FORCE schemes on unstructured meshes. II: Non-conservative hyperbolic systems. Zbl 1227.76043Dumbser, Michael; Hidalgo, Arturo; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F. 75 2010 A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems. Zbl 1349.76603Dumbser, Michael; Balsara, Dinshaw S. 74 2016 Very high order \(P_NP_M\) schemes on unstructured meshes for the resistive relativistic MHD equations. Zbl 1261.76028Dumbser, Michael; Zanotti, Olindo 73 2009 The discontinuous Galerkin method with Lax–Wendroff type time discretizations. Zbl 1093.76038Qiu, Jianxian; Dumbser, Michael; Shu, Chi-Wang 64 2005 A new family of high order unstructured MOOD and ADER finite volume schemes for multidimensional systems of hyperbolic conservation laws. Zbl 1373.76137Loubère, Raphaël; Dumbser, Michael; Diot, Steven 63 2014 A simple robust and accurate a posteriori sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes. Zbl 1349.65447Dumbser, Michael; Loubère, Raphaël 63 2016 Space-time adaptive ADER discontinuous Galerkin finite element schemes with a posteriori sub-cell finite volume limiting. Zbl 1390.76381Zanotti, Olindo; Fambri, Francesco; Dumbser, Michael; Hidalgo, Arturo 61 2015 ADER schemes for nonlinear systems of stiff advection-diffusion-reaction equations. Zbl 1221.65231Hidalgo, Arturo; Dumbser, Michael 60 2011 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 1376.76028Tavelli, Maurizio; Dumbser, Michael 58 2017 Central weighted ENO schemes for hyperbolic conservation laws on fixed and moving unstructured meshes. Zbl 1377.65115Dumbser, Michael; Boscheri, Walter; Semplice, Matteo; Russo, Giovanni 57 2017 Divergence-free MHD on unstructured meshes using high order finite volume schemes based on multidimensional Riemann solvers. Zbl 1351.76092Balsara, Dinshaw S.; Dumbser, Michael 50 2015 Fast high order ADER schemes for linear hyperbolic equations. Zbl 1052.65078Schwartzkopff, Thomas; Dumbser, Michael; Munz, Claus-Dieter 49 2004 FORCE schemes on unstructured meshes. I: Conservative hyperbolic systems. Zbl 1168.65377Toro, Eleuterio F.; Hidalgo, Arturo; Dumbser, Michael 49 2008 Arbitrary-Lagrangian-Eulerian discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes. Zbl 1378.76044Boscheri, Walter; Dumbser, Michael 49 2017 A matrix stability analysis of the carbuncle phenomenon. Zbl 1079.76607Dumbser, Michael; Moschetta, Jean-Marc; Gressier, Jérémie 47 2004 A sub-cell based indicator for troubled zones in RKDG schemes and a novel class of hybrid RKDG+HWENO schemes. Zbl 1124.65072Balsara, Dinshaw S.; Altmann, Christoph; Munz, Claus-Dieter; Dumbser, Michael 46 2007 Multidimensional Riemann problem with self-similar internal structure. Part II: Application to hyperbolic conservation laws on unstructured meshes. Zbl 1351.76091Balsara, Dinshaw S.; Dumbser, Michael 46 2015 High order space-time adaptive ADER-WENO finite volume schemes for non-conservative hyperbolic systems. Zbl 1295.65088Dumbser, Michael; Hidalgo, Arturo; Zanotti, Olindo 45 2014 Arbitrary-Lagrangian-Eulerian one-step WENO finite volume schemes on unstructured triangular meshes. Zbl 1388.65075Boscheri, Walter; Dumbser, Michael 45 2013 A staggered space-time discontinuous Galerkin method for the three-dimensional incompressible Navier-Stokes equations on unstructured tetrahedral meshes. Zbl 1349.76271Tavelli, Maurizio; Dumbser, Michael 45 2016 High-order unstructured Lagrangian one-step WENO finite volume schemes for non-conservative hyperbolic systems: applications to compressible multi-phase flows. Zbl 1290.76081Dumbser, Michael; Boscheri, Walter 44 2013 Lagrangian ADER-WENO finite volume schemes on unstructured triangular meshes based on genuinely multidimensional HLL Riemann solvers. Zbl 1349.76309Boscheri, Walter; Balsara, Dinshaw S.; Dumbser, Michael 44 2014 A staggered semi-implicit spectral discontinuous Galerkin scheme for the shallow water equations. Zbl 1366.76050Dumbser, Michael; Casulli, Vincenzo 42 2013 A high order semi-implicit discontinuous Galerkin method for the two dimensional shallow water equations on staggered unstructured meshes. Zbl 1298.76120Tavelli, Maurizio; Dumbser, Michael 42 2014 A conservative, weakly nonlinear semi-implicit finite volume scheme for the compressible Navier-Stokes equations with general equation of state. Zbl 1410.76220Dumbser, Michael; Casulli, Vincenzo 39 2016 Direct arbitrary-Lagrangian-Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws. Zbl 1349.76312Boscheri, Walter; Loubère, Raphaël; Dumbser, Michael 38 2015 ADER discontinuous Galerkin schemes for aeroacoustics. Zbl 1107.76044Dumbser, Michael; Munz, Claus-Dieter 37 2005 Explicit one-step time discretizations for discontinuous Galerkin and finite volume schemes based on local predictors. Zbl 1220.65122Gassner, Gregor; Dumbser, Michael; Hindenlang, Florian; Munz, Claus-Dieter 35 2011 A new class of moving-least-squares WENO-SPH schemes. Zbl 1349.76661Avesani, Diego; Dumbser, Michael; Bellin, Alberto 35 2014 Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms. Zbl 1284.35268Montecinos, G.; Castro, C. E.; Dumbser, M.; Toro, E. F. 33 2012 High order direct arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes. Zbl 07504692Gaburro, Elena; Boscheri, Walter; Chiocchetti, Simone; Klingenberg, Christian; Springel, Volker; Dumbser, Michael 33 2020 A high-order discontinuous Galerkin method with time-accurate local time stepping for the Maxwell equations. Zbl 1156.78012Taube, Arne; Dumbser, Michael; Munz, Claus-Dieter; Schneider, Rudolf 32 2009 A staggered semi-implicit discontinuous Galerkin method for the two dimensional incompressible Navier-Stokes equations. Zbl 1338.76068Tavelli, Maurizio; Dumbser, Michael 32 2014 A staggered space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations on two-dimensional triangular meshes. Zbl 1390.76360Tavelli, Maurizio; Dumbser, Michael 30 2015 Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems. Zbl 1519.76140Busto, S.; Tavelli, M.; Boscheri, W.; Dumbser, M. 29 2020 Arbitrary high-order discontinuous Galerkin schemes for the magnetohydrodynamic equations. Zbl 1176.76075Taube, Arne; Dumbser, Michael; Balsara, Dinshaw S.; Munz, Claus-Dieter 25 2007 Arbitrary high order discontinuous Galerkin schemes. Zbl 1210.65165Dumbser, M.; Munz, C.-D. 24 2005 Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes with time-accurate local time stepping for hyperbolic conservation laws. Zbl 1423.76296Dumbser, Michael 24 2014 Cell centered direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes for nonlinear hyperelasticity. Zbl 1390.76399Boscheri, Walter; Dumbser, Michael; Loubère, Raphaël 24 2016 On arbitrary-Lagrangian-Eulerian one-step WENO schemes for stiff hyperbolic balance laws. Zbl 1373.76126Dumbser, Michael; Uuriintsetseg, Ariunaa; Zanotti, Olindo 23 2013 Spectral semi-implicit and space-time discontinuous Galerkin methods for the incompressible Navier-Stokes equations on staggered Cartesian grids. Zbl 1432.76157Fambri, Francesco; Dumbser, Michael 23 2016 Construction and comparison of parallel implicit kinetic solvers in three spatial dimensions. Zbl 1349.76741Titarev, Vladimir; Dumbser, Michael; Utyuzhnikov, Sergey 23 2014 Linearized acoustic perturbation equations for low Mach number flow with variable density and temperature. Zbl 1261.76049Munz, Claus-Dieter; Dumbser, Michael; Roller, Sabine 22 2007 Efficient implementation of high order unstructured WENO schemes for cavitating flows. Zbl 1290.76098Dumbser, Michael; Iben, Uwe; Munz, Claus-Dieter 22 2013 Direct arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming unstructured meshes. Zbl 1390.76433Gaburro, Elena; Dumbser, Michael; Castro, Manuel J. 22 2017 A semi-implicit hybrid finite volume/finite element scheme for all Mach number flows on staggered unstructured meshes. Zbl 1510.76082Busto, S.; Río-Martín, L.; Vázquez-Cendón, M. E.; Dumbser, M. 21 2021 On high order ADER discontinuous Galerkin schemes for first order hyperbolic reformulations of nonlinear dispersive systems. Zbl 1465.76060Busto, Saray; Dumbser, Michael; Escalante, Cipriano; Favrie, Nicolas; Gavrilyuk, Sergey 21 2021 A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics. Zbl 07508471Boscheri, W.; Dumbser, M.; Ioriatti, M.; Peshkov, I.; Romenski, E. 21 2021 Central WENO subcell finite volume limiters for ADER discontinuous Galerkin schemes on fixed and moving unstructured meshes. Zbl 1474.65307Boscheri, Walter; Semplice, Matteo; Dumbser, Michael 20 2019 A diffuse interface method for complex three-dimensional free surface flows. Zbl 1286.76099Dumbser, Michael 20 2013 A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows. Zbl 07508366Bermúdez, A.; Busto, S.; Dumbser, M.; Ferrín, J. L.; Saavedra, L.; Vázquez-Cendón, M. E. 20 2020 Efficient implementation of ADER discontinuous Galerkin schemes for a scalable hyperbolic PDE engine. Zbl 1434.65179Dumbser, Michael; Fambri, Francesco; Tavelli, Maurizio; Bader, Michael; Weinzierl, Tobias 20 2018 Semi-implicit numerical modeling of axially symmetric flows in compliant arterial systems. Zbl 1242.92019Casulli, Vincenzo; Dumbser, Michael; Toro, Eleuterio F. 19 2012 Arbitrary high order central non-oscillatory schemes on mixed-element unstructured meshes. Zbl 1521.76372Tsoutsanis, Panagiotis; Dumbser, Michael 19 2021 A semi-implicit scheme for 3D free surface flows with high-order velocity reconstruction on unstructured Voronoi meshes. Zbl 1455.76104Boscheri, Walter; Dumbser, M.; Righetti, M. 19 2013 A space-time discontinuous Galerkin method for Boussinesq-type equations. Zbl 1410.76167Dumbser, M.; Facchini, M. 18 2016 On thermodynamically compatible finite volume methods and path-conservative ADER discontinuous Galerkin schemes for turbulent shallow water flows. Zbl 1501.65047Busto, Saray; Dumbser, Michael; Gavrilyuk, Sergey; Ivanova, Kseniya 17 2021 An efficient semi-implicit finite volume method for axially symmetric compressible flows in compliant tubes. Zbl 1326.76070Dumbser, Michael; Iben, Uwe; Ioriatti, Matteo 17 2015 A simple two-phase method for the simulation of complex free surface flows. Zbl 1225.76210Dumbser, Michael 17 2011 A high order special relativistic hydrodynamic and magnetohydrodynamic code with space-time adaptive mesh refinement. Zbl 1344.76058Zanotti, Olindo; Dumbser, Michael 17 2015 Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity. Zbl 1452.74022Peshkov, Ilya; Boscheri, Walter; Loubère, Raphaël; Romenski, Evgeniy; Dumbser, Michael 17 2019 A simple diffuse interface approach for compressible flows around moving solids of arbitrary shape based on a reduced Baer-Nunziato model. Zbl 1519.76176Kemm, Friedemann; Gaburro, Elena; Thein, Ferdinand; Dumbser, Michael 16 2020 High order cell-centered Lagrangian-type finite volume schemes with time-accurate local time stepping on unstructured triangular meshes. Zbl 1349.76311Boscheri, Walter; Dumbser, Michael; Zanotti, Olindo 16 2015 A second-order cell-centered Lagrangian ADER-MOOD finite volume scheme on multidimensional unstructured meshes for hydrodynamics. Zbl 1381.76212Boscheri, Walter; Dumbser, Michael; Loubère, Raphaël; Maire, Pierre-Henri 16 2018 High-order unstructured one-step \(P_{N}P_{M}\) schemes for the viscous and resistive MHD equations. Zbl 1231.76345Dumbser, M.; Balsara, D. S. 15 2009 An efficient quadrature-free formulation for high order arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes on unstructured meshes. Zbl 1338.65219Boscheri, Walter; Dumbser, Michael 15 2016 A two-dimensional Riemann solver with self-similar sub-structure - alternative formulation based on least squares projection. Zbl 1349.76157Balsara, Dinshaw S.; Vides, Jeaniffer; Gurski, Katharine; Nkonga, Boniface; Dumbser, Michael; Garain, Sudip; Audit, Edouard 15 2016 A well balanced diffuse interface method for complex nonhydrostatic free surface flows. Zbl 1410.76224Gaburro, Elena; Castro, Manuel J.; Dumbser, Michael 15 2018 A hyperbolic reformulation of the Serre-Green-Naghdi model for general bottom topographies. Zbl 1502.76014Bassi, C.; Bonaventura, L.; Busto, S.; Dumbser, M. 15 2020 Three-dimensional flow evolution after a dam break. Zbl 1205.76228Ferrari, A.; Fraccarollo, L.; Dumbser, M.; Toro, E. F.; Armanini, A. 14 2010 Semi-implicit discontinuous Galerkin methods for the incompressible Navier-Stokes equations on adaptive staggered Cartesian grids. Zbl 1439.76066Fambri, Francesco; Dumbser, Michael 14 2017 High order accurate direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes on moving curvilinear unstructured meshes. Zbl 1390.76398Boscheri, Walter; Dumbser, Michael 14 2016 Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations: spectral analysis and computational results. Zbl 1513.65356Dumbser, M.; Fambri, F.; Furci, I.; Mazza, M.; Serra-Capizzano, S.; Tavelli, M. 14 2018 A family of HLL-type solvers for the generalized Riemann problem. Zbl 1410.76228Goetz, Claus R.; Balsara, Dinshaw S.; Dumbser, Michael 13 2018 An efficient hyperbolic relaxation system for dispersive non-hydrostatic water waves and its solution with high order discontinuous Galerkin schemes. Zbl 1452.65188Escalante, C.; Dumbser, M.; Castro, M. J. 13 2019 On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations. Zbl 1453.85002Dumbser, Michael; Fambri, Francesco; Gaburro, Elena; Reinarz, Anne 13 2020 A novel solver for the generalized Riemann problem based on a simplified LeFloch-Raviart expansion and a local space-time discontinuous Galerkin formulation. Zbl 1368.65155Goetz, Claus R.; Dumbser, Michael 12 2016 High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension. Zbl 07510040Chiocchetti, Simone; Peshkov, Ilya; Gavrilyuk, Sergey; Dumbser, Michael 12 2021 Space-time adaptive ADER discontinuous Galerkin schemes for nonlinear hyperelasticity with material failure. Zbl 07508383Tavelli, Maurizio; Chiocchetti, Simone; Romenski, Evgeniy; Gabriel, Alice-Agnes; Dumbser, Michael 11 2020 A simple diffuse interface approach on adaptive Cartesian grids for the linear elastic wave equations with complex topography. Zbl 1452.74113Tavelli, Maurizio; Dumbser, Michael; Charrier, Dominic Etienne; Rannabauer, Leonhard; Weinzierl, Tobias; Bader, Michael 11 2019 Arbitrary high order accurate space-time discontinuous Galerkin finite element schemes on staggered unstructured meshes for linear elasticity. Zbl 1406.74647Tavelli, Maurizio; Dumbser, Michael 11 2018 On thermodynamically compatible finite volume schemes for continuum mechanics. Zbl 07556268Busto, Saray; Dumbser, Michael; Peshkov, Ilya; Romenski, Evgeniy 10 2022 A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics. Zbl 1510.76098Abgrall, Rémi; Busto, Saray; Dumbser, Michael 6 2023 A new thermodynamically compatible finite volume scheme for magnetohydrodynamics. Zbl 07670867Busto, Saray; Dumbser, Michael 4 2023 An arbitrary-Lagrangian-Eulerian hybrid finite volume/finite element method on moving unstructured meshes for the Navier-Stokes equations. Zbl 1510.76081Busto, S.; Dumbser, M.; Río-Martín, L. 3 2023 Curl constraint-preserving reconstruction and the guidance it gives for mimetic scheme design. Zbl 07666148Balsara, Dinshaw S.; Käppeli, Roger; Boscheri, Walter; Dumbser, Michael 1 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 07682799Chiocchetti, Simone; Dumbser, Michael 1 2023 On thermodynamically compatible finite volume schemes for continuum mechanics. Zbl 07556268Busto, Saray; Dumbser, Michael; Peshkov, Ilya; Romenski, Evgeniy 10 2022 A staggered semi-implicit hybrid finite volume / finite element scheme for the shallow water equations at all Froude numbers. Zbl 1485.76056Busto, S.; Dumbser, M. 10 2022 Exact and numerical solutions of the Riemann problem for a conservative model of compressible two-phase flows. Zbl 1504.35184Thein, Ferdinand; Romenski, Evgeniy; Dumbser, Michael 6 2022 A first order hyperbolic reformulation of the Navier-Stokes-Korteweg system based on the GPR model and an augmented Lagrangian approach. Zbl 07599597Dhaouadi, Firas; Dumbser, Michael 3 2022 Continuous finite element subgrid basis functions for discontinuous Galerkin schemes on unstructured polygonal Voronoi meshes. Zbl 1492.65261Boscheri, Walter; Dumbser, Michael; Gaburro, Elena 1 2022 A semi-implicit hybrid finite volume/finite element scheme for all Mach number flows on staggered unstructured meshes. Zbl 1510.76082Busto, S.; Río-Martín, L.; Vázquez-Cendón, M. E.; Dumbser, M. 21 2021 On high order ADER discontinuous Galerkin schemes for first order hyperbolic reformulations of nonlinear dispersive systems. Zbl 1465.76060Busto, Saray; Dumbser, Michael; Escalante, Cipriano; Favrie, Nicolas; Gavrilyuk, Sergey 21 2021 A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics. Zbl 07508471Boscheri, W.; Dumbser, M.; Ioriatti, M.; Peshkov, I.; Romenski, E. 21 2021 Arbitrary high order central non-oscillatory schemes on mixed-element unstructured meshes. Zbl 1521.76372Tsoutsanis, Panagiotis; Dumbser, Michael 19 2021 On thermodynamically compatible finite volume methods and path-conservative ADER discontinuous Galerkin schemes for turbulent shallow water flows. Zbl 1501.65047Busto, Saray; Dumbser, Michael; Gavrilyuk, Sergey; Ivanova, Kseniya 17 2021 High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension. Zbl 07510040Chiocchetti, Simone; Peshkov, Ilya; Gavrilyuk, Sergey; Dumbser, Michael 12 2021 A posteriori subcell finite volume limiter for general \(P_NP_M\) schemes: applications from gasdynamics to relativistic magnetohydrodynamics. Zbl 1475.65091Gaburro, Elena; Dumbser, Michael 10 2021 Simulation of non-Newtonian viscoplastic flows with a unified first order hyperbolic model and a structure-preserving semi-implicit scheme. Zbl 1521.76573Peshkov, Ilya; Dumbser, Michael; Boscheri, Walter; Romenski, Evgeniy; Chiocchetti, Simone; Ioriatti, Matteo 8 2021 An alternative SPH formulation: ADER-WENO-SPH. Zbl 1506.76123Avesani, Diego; Dumbser, Michael; Vacondio, Renato; Righetti, Maurizio 5 2021 A well balanced finite volume scheme for general relativity. Zbl 07456293Gaburro, Elena; Castro, Manuel J.; Dumbser, Michael 3 2021 A novel staggered semi-implicit space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations. Zbl 1499.65521Romeo, F. L.; Dumbser, M.; Tavelli, M. 1 2021 High order direct arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes. Zbl 07504692Gaburro, Elena; Boscheri, Walter; Chiocchetti, Simone; Klingenberg, Christian; Springel, Volker; Dumbser, Michael 33 2020 Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems. Zbl 1519.76140Busto, S.; Tavelli, M.; Boscheri, W.; Dumbser, M. 29 2020 A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows. Zbl 07508366Bermúdez, A.; Busto, S.; Dumbser, M.; Ferrín, J. L.; Saavedra, L.; Vázquez-Cendón, M. E. 20 2020 A simple diffuse interface approach for compressible flows around moving solids of arbitrary shape based on a reduced Baer-Nunziato model. Zbl 1519.76176Kemm, Friedemann; Gaburro, Elena; Thein, Ferdinand; Dumbser, Michael 16 2020 A hyperbolic reformulation of the Serre-Green-Naghdi model for general bottom topographies. Zbl 1502.76014Bassi, C.; Bonaventura, L.; Busto, S.; Dumbser, M. 15 2020 On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations. Zbl 1453.85002Dumbser, Michael; Fambri, Francesco; Gaburro, Elena; Reinarz, Anne 13 2020 Space-time adaptive ADER discontinuous Galerkin schemes for nonlinear hyperelasticity with material failure. Zbl 07508383Tavelli, Maurizio; Chiocchetti, Simone; Romenski, Evgeniy; Gabriel, Alice-Agnes; Dumbser, Michael 11 2020 A new continuum model for general relativistic viscous heat-conducting media. Zbl 1462.82032Romenski, E.; Peshkov, I.; Dumbser, M.; Fambri, F. 9 2020 Modeling wavefields in saturated elastic porous media based on thermodynamically compatible system theory for two-phase solid-fluid mixtures. Zbl 1519.76219Romenski, Evgeniy; Reshetova, Galina; Peshkov, Ilya; Dumbser, Michael 6 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 1447.74042Bassi, C.; Busto, S.; Dumbser, M. 3 2020 ExaHyPE: an engine for parallel dynamically adaptive simulations of wave problems. Zbl 07687570Reinarz, 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 2 2020 A staggered semi-implicit discontinuous Galerkin scheme with a posteriori subcell finite volume limiter for the Euler equations of gasdynamics. Zbl 1434.76068Ioriatti, Matteo; Dumbser, Michael; Loubère, Raphaël 1 2020 Central WENO subcell finite volume limiters for ADER discontinuous Galerkin schemes on fixed and moving unstructured meshes. Zbl 1474.65307Boscheri, Walter; Semplice, Matteo; Dumbser, Michael 20 2019 Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity. Zbl 1452.74022Peshkov, Ilya; Boscheri, Walter; Loubère, Raphaël; Romenski, Evgeniy; Dumbser, Michael 17 2019 An efficient hyperbolic relaxation system for dispersive non-hydrostatic water waves and its solution with high order discontinuous Galerkin schemes. Zbl 1452.65188Escalante, C.; Dumbser, M.; Castro, M. J. 13 2019 A simple diffuse interface approach on adaptive Cartesian grids for the linear elastic wave equations with complex topography. Zbl 1452.74113Tavelli, Maurizio; Dumbser, Michael; Charrier, Dominic Etienne; Rannabauer, Leonhard; Weinzierl, Tobias; Bader, Michael 11 2019 A posteriori sub-cell finite volume limiting of staggered semi-implicit discontinuous Galerkin schemes for the shallow water equations. Zbl 1403.76046Ioriatti, Matteo; Dumbser, Michael 7 2019 FORCE schemes on moving unstructured meshes for hyperbolic systems. Zbl 1442.65191Boscheri, Walter; Dumbser, Michael; Righetti, Maurizio 1 2019 Efficient implementation of ADER discontinuous Galerkin schemes for a scalable hyperbolic PDE engine. Zbl 1434.65179Dumbser, Michael; Fambri, Francesco; Tavelli, Maurizio; Bader, Michael; Weinzierl, Tobias 20 2018 A second-order cell-centered Lagrangian ADER-MOOD finite volume scheme on multidimensional unstructured meshes for hydrodynamics. Zbl 1381.76212Boscheri, Walter; Dumbser, Michael; Loubère, Raphaël; Maire, Pierre-Henri 16 2018 A well balanced diffuse interface method for complex nonhydrostatic free surface flows. Zbl 1410.76224Gaburro, Elena; Castro, Manuel J.; Dumbser, Michael 15 2018 Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations: spectral analysis and computational results. Zbl 1513.65356Dumbser, M.; Fambri, F.; Furci, I.; Mazza, M.; Serra-Capizzano, S.; Tavelli, M. 14 2018 A family of HLL-type solvers for the generalized Riemann problem. Zbl 1410.76228Goetz, Claus R.; Balsara, Dinshaw S.; Dumbser, Michael 13 2018 Arbitrary high order accurate space-time discontinuous Galerkin finite element schemes on staggered unstructured meshes for linear elasticity. Zbl 1406.74647Tavelli, Maurizio; Dumbser, Michael 11 2018 A unified hyperbolic formulation for viscous fluids and elastoplastic solids. Zbl 1417.35191Dumbser, Michael; Peshkov, Ilya; Romenski, Evgeniy 10 2018 ADER-DG with a-posteriori finite-volume limiting to simulate tsunamis in a parallel adaptive mesh refinement framework. Zbl 1410.86006Rannabauer, Leonhard; Dumbser, Michael; Bader, Michael 8 2018 Semi-implicit staggered discontinuous Galerkin schemes for axially symmetric viscous compressible flows in elastic tubes. Zbl 1390.76322Ioriatti, Matteo; Dumbser, Michael 6 2018 Reprint of: “Direct arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming unstructured meshes”. Zbl 1391.76406Gaburro, 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 1376.76028Tavelli, Maurizio; Dumbser, Michael 58 2017 Central weighted ENO schemes for hyperbolic conservation laws on fixed and moving unstructured meshes. Zbl 1377.65115Dumbser, Michael; Boscheri, Walter; Semplice, Matteo; Russo, Giovanni 57 2017 Arbitrary-Lagrangian-Eulerian discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes. Zbl 1378.76044Boscheri, Walter; Dumbser, Michael 49 2017 Direct arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming unstructured meshes. Zbl 1390.76433Gaburro, Elena; Dumbser, Michael; Castro, Manuel J. 22 2017 Semi-implicit discontinuous Galerkin methods for the incompressible Navier-Stokes equations on adaptive staggered Cartesian grids. Zbl 1439.76066Fambri, Francesco; Dumbser, Michael 14 2017 A well-balanced path conservative SPH scheme for nonconservative hyperbolic systems with applications to shallow water and multi-phase flows. Zbl 1390.76760Rossi, Giulia; Dumbser, Michael; Armanini, Aronne 7 2017 An alternative smooth particle hydrodynamics formulation to simulate chemotaxis in porous media. Zbl 1360.76210Avesani, Diego; Dumbser, Michael; Chiogna, Gabriele; Bellin, Alberto 4 2017 High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids. Zbl 1349.76324Dumbser, 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 1349.76603Dumbser, Michael; Balsara, Dinshaw S. 74 2016 A simple robust and accurate a posteriori sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes. Zbl 1349.65447Dumbser, Michael; Loubère, Raphaël 63 2016 A staggered space-time discontinuous Galerkin method for the three-dimensional incompressible Navier-Stokes equations on unstructured tetrahedral meshes. Zbl 1349.76271Tavelli, Maurizio; Dumbser, Michael 45 2016 A conservative, weakly nonlinear semi-implicit finite volume scheme for the compressible Navier-Stokes equations with general equation of state. Zbl 1410.76220Dumbser, Michael; Casulli, Vincenzo 39 2016 Cell centered direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes for nonlinear hyperelasticity. Zbl 1390.76399Boscheri, Walter; Dumbser, Michael; Loubère, Raphaël 24 2016 Spectral semi-implicit and space-time discontinuous Galerkin methods for the incompressible Navier-Stokes equations on staggered Cartesian grids. Zbl 1432.76157Fambri, Francesco; Dumbser, Michael 23 2016 A space-time discontinuous Galerkin method for Boussinesq-type equations. Zbl 1410.76167Dumbser, M.; Facchini, M. 18 2016 An efficient quadrature-free formulation for high order arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes on unstructured meshes. Zbl 1338.65219Boscheri, Walter; Dumbser, Michael 15 2016 A two-dimensional Riemann solver with self-similar sub-structure - alternative formulation based on least squares projection. Zbl 1349.76157Balsara, Dinshaw S.; Vides, Jeaniffer; Gurski, Katharine; Nkonga, Boniface; Dumbser, Michael; Garain, Sudip; Audit, Edouard 15 2016 High order accurate direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes on moving curvilinear unstructured meshes. Zbl 1390.76398Boscheri, Walter; Dumbser, Michael 14 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 1368.65155Goetz, Claus R.; Dumbser, Michael 12 2016 A path-conservative Osher-type scheme for axially symmetric compressible flows in flexible visco-elastic tubes. Zbl 1381.76219Leibinger, Julia; Dumbser, Michael; Iben, Uwe; Wayand, Isabell 7 2016 Space-time adaptive ADER discontinuous Galerkin finite element schemes with a posteriori sub-cell finite volume limiting. Zbl 1390.76381Zanotti, Olindo; Fambri, Francesco; Dumbser, Michael; Hidalgo, Arturo 61 2015 Divergence-free MHD on unstructured meshes using high order finite volume schemes based on multidimensional Riemann solvers. Zbl 1351.76092Balsara, Dinshaw S.; Dumbser, Michael 50 2015 Multidimensional Riemann problem with self-similar internal structure. Part II: Application to hyperbolic conservation laws on unstructured meshes. Zbl 1351.76091Balsara, Dinshaw S.; Dumbser, Michael 46 2015 Direct arbitrary-Lagrangian-Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws. Zbl 1349.76312Boscheri, Walter; Loubère, Raphaël; Dumbser, Michael 38 2015 A staggered space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations on two-dimensional triangular meshes. Zbl 1390.76360Tavelli, Maurizio; Dumbser, Michael 30 2015 An efficient semi-implicit finite volume method for axially symmetric compressible flows in compliant tubes. Zbl 1326.76070Dumbser, Michael; Iben, Uwe; Ioriatti, Matteo 17 2015 A high order special relativistic hydrodynamic and magnetohydrodynamic code with space-time adaptive mesh refinement. Zbl 1344.76058Zanotti, Olindo; Dumbser, Michael 17 2015 High order cell-centered Lagrangian-type finite volume schemes with time-accurate local time stepping on unstructured triangular meshes. Zbl 1349.76311Boscheri, Walter; Dumbser, Michael; Zanotti, Olindo 16 2015 A path-conservative finite volume scheme for compressible multi-phase flows with surface tension. Zbl 1410.76463Nguyen, Nguyen T.; Dumbser, Michael 4 2015 A posteriori subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws. Zbl 1349.65448Dumbser, Michael; Zanotti, Olindo; Loubère, Raphaël; Diot, Steven 166 2014 Multidimensional HLLC Riemann solver for unstructured meshes – with application to Euler and MHD flows. Zbl 1349.76426Balsara, Dinshaw S.; Dumbser, Michael; Abgrall, Remi 80 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 1349.76310Boscheri, Walter; Dumbser, Michael 77 2014 A new family of high order unstructured MOOD and ADER finite volume schemes for multidimensional systems of hyperbolic conservation laws. Zbl 1373.76137Loubère, Raphaël; Dumbser, Michael; Diot, Steven 63 2014 High order space-time adaptive ADER-WENO finite volume schemes for non-conservative hyperbolic systems. Zbl 1295.65088Dumbser, Michael; Hidalgo, Arturo; Zanotti, Olindo 45 2014 Lagrangian ADER-WENO finite volume schemes on unstructured triangular meshes based on genuinely multidimensional HLL Riemann solvers. Zbl 1349.76309Boscheri, Walter; Balsara, Dinshaw S.; Dumbser, Michael 44 2014 A high order semi-implicit discontinuous Galerkin method for the two dimensional shallow water equations on staggered unstructured meshes. Zbl 1298.76120Tavelli, Maurizio; Dumbser, Michael 42 2014 A new class of moving-least-squares WENO-SPH schemes. Zbl 1349.76661Avesani, Diego; Dumbser, Michael; Bellin, Alberto 35 2014 A staggered semi-implicit discontinuous Galerkin method for the two dimensional incompressible Navier-Stokes equations. Zbl 1338.76068Tavelli, Maurizio; Dumbser, Michael 32 2014 Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes with time-accurate local time stepping for hyperbolic conservation laws. Zbl 1423.76296Dumbser, Michael 24 2014 Construction and comparison of parallel implicit kinetic solvers in three spatial dimensions. Zbl 1349.76741Titarev, Vladimir; Dumbser, Michael; Utyuzhnikov, Sergey 23 2014 ADER-WENO finite volume schemes with space-time adaptive mesh refinement. Zbl 1349.76325Dumbser, Michael; Zanotti, Olindo; Hidalgo, Arturo; Balsara, Dinshaw S. 93 2013 Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes – speed comparisons with Runge-Kutta methods. Zbl 1291.76237Balsara, Dinshaw S.; Meyer, Chad; Dumbser, Michael; Du, Huijing; Xu, Zhiliang 77 2013 Arbitrary-Lagrangian-Eulerian one-step WENO finite volume schemes on unstructured triangular meshes. Zbl 1388.65075Boscheri, Walter; Dumbser, Michael 45 2013 High-order unstructured Lagrangian one-step WENO finite volume schemes for non-conservative hyperbolic systems: applications to compressible multi-phase flows. Zbl 1290.76081Dumbser, Michael; Boscheri, Walter 44 2013 A staggered semi-implicit spectral discontinuous Galerkin scheme for the shallow water equations. Zbl 1366.76050Dumbser, Michael; Casulli, Vincenzo 42 2013 On arbitrary-Lagrangian-Eulerian one-step WENO schemes for stiff hyperbolic balance laws. Zbl 1373.76126Dumbser, Michael; Uuriintsetseg, Ariunaa; Zanotti, Olindo 23 2013 Efficient implementation of high order unstructured WENO schemes for cavitating flows. Zbl 1290.76098Dumbser, Michael; Iben, Uwe; Munz, Claus-Dieter 22 2013 A diffuse interface method for complex three-dimensional free surface flows. Zbl 1286.76099Dumbser, Michael 20 2013 A semi-implicit scheme for 3D free surface flows with high-order velocity reconstruction on unstructured Voronoi meshes. Zbl 1455.76104Boscheri, Walter; Dumbser, M.; Righetti, M. 19 2013 High resolution methods for scalar transport problems in compliant systems of arteries. Zbl 1302.76134Tavelli, M.; Dumbser, Michael; Casulli, V. 7 2013 ...and 43 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,238 Authors 139 Dumbser, Michael 55 Toro, Eleuterio Francisco 42 Balsara, Dinshaw S. 42 Boscheri, Walter 42 Qiu, Jianxian 41 Zhu, Jun 38 Munz, Claus-Dieter 38 Shu, Chi-Wang 26 Loubère, Raphaël 21 Luo, Hong 20 Tavelli, Maurizio 20 Titarev, Vladimir A. 19 Gassner, Gregor J. 19 Montecinos, Gino I. 18 Busto, Saray 17 Castro, Manuel J. 17 Deng, Xi 17 Parés Madroñal, Carlos 17 Xiao, Feng 17 Xu, Kun 16 Hidalgo, Arturo 15 Clain, Stéphane Louis 15 Liu, Tiegang 15 Tsoutsanis, Panagiotis 14 Chandrashekar, Praveen 14 Nogueira, Xesús 14 Peshkov, Ilya M. 14 Ren, Yuxin 12 Abgrall, Rémi 12 Cheng, Jian 12 Dimarco, Giacomo 12 Gaburro, Elena 12 Romenskii, Evgenii I. 12 Russo, Giovanni 12 Semplice, Matteo 11 Christlieb, Andrew J. 11 Fu, Lin 11 Kuzmin, Dmitri 11 Lombard, Bruno 11 Morgan, Nathaniel R. 11 Müller, Lucas Omar 11 Seal, David C. 11 Yan, Chao 10 Murillo, Javier 10 Pan, Liang 10 Vázquez-Cendón, María Elena 10 Xie, Bin 9 Adams, Nikolaus A. 9 Gavrilyuk, Sergey L. 9 Guermond, Jean-Luc 9 Kolev, Tzanio V. 9 Li, Jiequan 9 Li, Wanai 9 Maire, Pierre-Henri 9 Navas-Montilla, Adrián 9 Nkonga, Boniface 9 Popov, Boyan 8 Beck, Andrea D. 8 Bertaglia, Giulia 8 Castro-Díaz, Manuel Jesús 8 Colominas, Ignasi 8 Fambri, Francesco 8 Gallardo, José M. 8 Hu, Xiangyu Y. 8 Jiang, Zhenhua 8 Kim, Chongam 8 Kurganov, Alexander 8 Liu, Xiaodong 8 Nourgaliev, Robert R. 8 Pareschi, Lorenzo 8 Qu, Feng 8 Ramirez, Luis J. 8 Serra-Capizzano, Stefano 8 Sun, Di 8 Tang, Huazhong 8 Tokareva, Svetlana A. 8 Tomov, Vladimir Z. 8 Zanotti, Olindo 7 Antuono, Matteo 7 Bader, Michael 7 Bai, Junqiang 7 Daude, Frédéric 7 Drikakis, Dimitris 7 Gabriel, Alice-Agnes 7 Garain, Sudip K. 7 Garcia-Navarro, Pilar 7 Hindenlang, Florian J. 7 Hu, Lijun 7 Lörcher, Frieder 7 Morales de Luna, Tomás 7 Pavelka, Michal 7 Shen, Zhijun 7 Shyy, Wei 7 Wang, Qian 7 Yu, Jian 7 Yu, Xijun 7 Zhang, Aman 7 Zhang, Fan 6 Bakhvalov, Pavel A. 6 Burton, Donald E. ...and 2,138 more Authors all top 5 Cited in 123 Serials 561 Journal of Computational Physics 234 Computers and Fluids 131 Journal of Scientific Computing 71 Applied Mathematics and Computation 59 Computer Methods in Applied Mechanics and Engineering 42 Computers & Mathematics with Applications 40 Communications in Computational Physics 30 SIAM Journal on Scientific Computing 29 Applied Numerical Mathematics 20 Communications on Applied Mathematics and Computation 17 Applied Mathematical Modelling 16 Journal of Computational and Applied Mathematics 12 International Journal for Numerical Methods in Fluids 10 Advances in Applied Mathematics and Mechanics 9 Computer Physics Communications 9 SIAM Journal on Numerical Analysis 9 International Journal of Computational Fluid Dynamics 8 Journal of Fluid Mechanics 8 M\(^3\)AS. 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Mathematical, Physical and Engineering Sciences 2 Water Waves 1 Acta Mechanica 1 Fluid Dynamics 1 International Journal of Engineering Science 1 Journal of Engineering Mathematics 1 Journal of Statistical Physics 1 Nonlinearity 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Chaos, Solitons and Fractals 1 Journal of Approximation Theory 1 Kybernetika 1 Meccanica 1 Quarterly of Applied Mathematics 1 Mathematical and Computer Modelling 1 Applications of Mathematics 1 Numerical Algorithms 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 Physics of Fluids 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Science in China. Series E 1 ELA. 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