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Author ID: dumbser.michael Recent zbMATH articles by "Dumbser, Michael"
Published as: Dumbser, Michael; Dumbser, M.
External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef · theses.fr
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
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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

Publications by Year

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
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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
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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. (English Edition)
5 Mathematics of Computation
5 Numerical Methods for Partial Differential Equations
5 Continuum Mechanics and Thermodynamics
5 Advances in Computational Mathematics
5 Engineering Analysis with Boundary Elements
5 Oberwolfach Reports
5 Communications in Applied Mathematics and Computational Science
5 Numerical Mathematics: Theory, Methods and Applications
5 Journal of Computational Physics: X
4 Russian Journal of Numerical Analysis and Mathematical Modelling
4 Differential Equations
4 International Journal of Computational Methods
4 Acta Numerica
4 GEM - International Journal on Geomathematics
4 East Asian Journal on Applied Mathematics
3 Classical and Quantum Gravity
3 Journal of Mathematical Biology
3 Physica D
3 Computational Mechanics
3 International Journal of Computer Mathematics
3 ETNA. 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
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