Michael Dumbser

13.8k total citations · 3 hit papers
206 papers, 10.1k citations indexed

About

Michael Dumbser is a scholar working on Computational Mechanics, Applied Mathematics and Numerical Analysis. According to data from OpenAlex, Michael Dumbser has authored 206 papers receiving a total of 10.1k indexed citations (citations by other indexed papers that have themselves been cited), including 191 papers in Computational Mechanics, 53 papers in Applied Mathematics and 21 papers in Numerical Analysis. Recurrent topics in Michael Dumbser's work include Computational Fluid Dynamics and Aerodynamics (172 papers), Advanced Numerical Methods in Computational Mathematics (103 papers) and Fluid Dynamics and Turbulent Flows (78 papers). Michael Dumbser is often cited by papers focused on Computational Fluid Dynamics and Aerodynamics (172 papers), Advanced Numerical Methods in Computational Mathematics (103 papers) and Fluid Dynamics and Turbulent Flows (78 papers). Michael Dumbser collaborates with scholars based in Italy, Germany and Spain. Michael Dumbser's co-authors include Martin Käser, Eleuterio F. Toro, Dinshaw S. Balsara, Claus‐Dieter Munz, Olindo Zanotti, Walter Boscheri, Maurizio Tavelli, Arturo Hidalgo, Francesco Fambri and Raphaël Loubère and has published in prestigious journals such as The Science of The Total Environment, Journal of Fluid Mechanics and Journal of Computational Physics.

In The Last Decade

Michael Dumbser

200 papers receiving 9.7k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes

2008 443 citations Michael Dumbser, Dinshaw S. Balsara et al. Journal of Computational Physics profile →
Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems

2006 357 citations Michael Dumbser, Martin Käser Journal of Computational Physics profile →
A posteriori subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws

2014 247 citations Michael Dumbser et al. Journal of Computational Physics profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Michael Dumbser Italy	56	8.4k	2.4k	1.2k	1.1k	784	206	10.1k
Eleuterio F. Toro Italy	54	13.5k 1.6×	4.7k 1.9×	1.2k 1.0×	431 0.4×	2.1k 2.7×	186	17.7k
Marsha Berger United States	34	5.5k 0.7×	1.2k 0.5×	380 0.3×	419 0.4×	577 0.7×	73	7.7k
Bram van Leer United States	31	12.5k 1.5×	4.4k 1.8×	937 0.8×	223 0.2×	1.6k 2.0×	83	16.1k
Rémi Abgrall France	36	6.1k 0.7×	2.2k 0.9×	602 0.5×	110 0.1×	371 0.5×	175	6.9k
Mikhail Shashkov United States	47	5.9k 0.7×	802 0.3×	952 0.8×	183 0.2×	178 0.2×	153	6.7k
Jan Nordström Sweden	35	3.8k 0.5×	456 0.2×	1.0k 0.9×	292 0.3×	246 0.3×	220	4.8k
Burton Wendroff United States	28	3.3k 0.4×	1.6k 0.6×	823 0.7×	199 0.2×	347 0.4×	78	5.2k
Philip L. Roe United States	39	16.0k 1.9×	6.0k 2.5×	998 0.8×	166 0.1×	1.3k 1.7×	143	19.0k
Sigal Gottlieb United States	21	4.3k 0.5×	1.0k 0.4×	1.7k 1.5×	92 0.1×	521 0.7×	48	5.9k
Mark H. Carpenter United States	38	5.6k 0.7×	835 0.3×	1.5k 1.2×	150 0.1×	477 0.6×	108	6.6k

Countries citing papers authored by Michael Dumbser

Since Specialization

Citations

This map shows the geographic impact of Michael Dumbser's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Michael Dumbser with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Michael Dumbser more than expected).

Fields of papers citing papers by Michael Dumbser

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michael Dumbser. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Michael Dumbser. The network helps show where Michael Dumbser may publish in the future.

Co-authorship network of co-authors of Michael Dumbser

This figure shows the co-authorship network connecting the top 25 collaborators of Michael Dumbser. A scholar is included among the top collaborators of Michael Dumbser based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Michael Dumbser. Michael Dumbser is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Dumbser, Michael, et al.. (2025). Introduction of dispersive effects and treatment of horizontally moving pressurized regions in a semi-implicit fluid–structure interaction model. Computers & Fluids. 300. 106756–106756.

Boscheri, Walter, Michael Dumbser, & Pierre‐Henri Maire. (2024). A New Thermodynamically Compatible Finite Volume Scheme for Lagrangian Gas Dynamics. SIAM Journal on Scientific Computing. 46(4). A2224–A2247. 2 indexed citations

Dumbser, Michael, et al.. (2024). An asymptotic-preserving and exactly mass-conservative semi-implicit scheme for weakly compressible flows based on compatible finite elements. Journal of Computational Physics. 521. 113551–113551. 3 indexed citations

Balsara, Dinshaw S., Roger Käppeli, Walter Boscheri, & Michael Dumbser. (2023). Curl Constraint-Preserving Reconstruction and the Guidance it Gives for Mimetic Scheme Design. Institutional Research Information System University of Ferrara (University of Ferrara). 10 indexed citations

Dumbser, Michael, et al.. (2023). High-Order ADER Discontinuous Galerkin Schemes for a Symmetric Hyperbolic Model of Compressible Barotropic Two-Fluid Flows. Communications on Applied Mathematics and Computation. 6(4). 2119–2154. 5 indexed citations

Dumbser, Michael, Saray Busto, M. Elena Vázquez-Cendón, & Ilya Peshkov. (2023). Preface for the special issue “Hyperbolic PDE in computational physics: Advanced mathematical models and structure-preserving numerics”. Applied Mathematics and Computation. 450. 127994–127994.

Dumbser, Michael, et al.. (2022). A semi‐implicit finite volume scheme for a simplified hydrostatic model for fluid‐structure interaction. International Journal for Numerical Methods in Fluids. 95(1). 107–142. 2 indexed citations

Gabriel, Alice‐Agnes, Duo Li, Maurizio Tavelli, et al.. (2021). A unified first-order hyperbolic model for nonlinear dynamic rupture processes in diffuse fracture zones. Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences. 379(2196). 20200130–20200130. 27 indexed citations

Bonaventura, Luca, et al.. (2020). A Hyperbolic Reformulation of the Serre-Green-Naghdi Model for General Bottom Topographies. Institutional Research Information System (Università degli Studi di Trento). 26 indexed citations

10.

Bäder, Michael, Luke Bovard, Michael Dumbser, et al.. (2020). ExaHyPE: An engine for parallel dynamically adaptive simulations of wave problems. Computer Physics Communications. 254. 107251–107251. 35 indexed citations

11.

Dumbser, Michael, et al.. (2018). An efficient three-dimensional semi-implicit finite volume scheme for the solution of coupled free-surface and variably saturated sub-surface flow. EGU General Assembly Conference Abstracts. 600. 1 indexed citations

12.

Dumbser, Michael, et al.. (2018). Staggered discontinuous Galerkin methods for the incompressible Navier–Stokes equations: Spectral analysis and computational results. Numerical Linear Algebra with Applications. 25(5). 17 indexed citations

13.

Boscheri, Walter, Michael Dumbser, & Maurizio Righetti. (2018). FORCE schemes on moving unstructured meshes for hyperbolic systems. Computers & Mathematics with Applications. 78(2). 362–380. 3 indexed citations

14.

Gaburro, Elena, et al.. (2018). A well balanced diffuse interface method for complex nonhydrostatic free surface flows. HAL (Le Centre pour la Communication Scientifique Directe). 26 indexed citations

15.

Dumbser, Michael & Dinshaw S. Balsara. (2009). High-Order Unstructured One-Step PNPM Schemes for the Viscous and Resistive MHD Equations. Computer Modeling in Engineering & Sciences. 54(3). 301–334. 18 indexed citations

16.

Puente, Josep de la, Michael Dumbser, Martin Käser, & Heiner Igel. (2008). Discontinuous Galerkin methods for wave propagation in poroelastic media. Geophysics. 73(5). T77–T97. 111 indexed citations

17.

Käser, Martin & Michael Dumbser. (2008). A highly accurate discontinuous Galerkin method for complex interfaces between solids and moving fluids. Geophysics. 73(3). T23–T35. 56 indexed citations

18.

Toro, Eleuterio F., Michael Dumbser, В. А. Титарев, & Martin Käser. (2006). The Derivative Riemann Problem: The basis for high order ADER Schemes. Research Repository (Delft University of Technology). 2 indexed citations

19.

Dumbser, Michael & Claus‐Dieter Munz. (2005). ADER discontinuous Galerkin schemes for aeroacoustics. Comptes Rendus Mécanique. 333(9). 683–687. 78 indexed citations

20.

Munz, Claus‐Dieter, et al.. (2005). Multiple-scale modelling of acoustic sources in low Mach-number flow. Comptes Rendus Mécanique. 333(9). 706–712. 2 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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