Gunar Matthies

1.8k total citations
54 papers, 1.2k citations indexed

About

Gunar Matthies is a scholar working on Computational Mechanics, Numerical Analysis and Computational Theory and Mathematics. According to data from OpenAlex, Gunar Matthies has authored 54 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 48 papers in Computational Mechanics, 26 papers in Numerical Analysis and 16 papers in Computational Theory and Mathematics. Recurrent topics in Gunar Matthies's work include Advanced Numerical Methods in Computational Mathematics (43 papers), Differential Equations and Numerical Methods (17 papers) and Computational Fluid Dynamics and Aerodynamics (17 papers). Gunar Matthies is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (43 papers), Differential Equations and Numerical Methods (17 papers) and Computational Fluid Dynamics and Aerodynamics (17 papers). Gunar Matthies collaborates with scholars based in Germany, Belarus and Spain. Gunar Matthies's co-authors include Lutz Tobiska, Volker John, Piotr Skrzypacz, Sashikumaar Ganesan, Naveed Ahmed, O. A. Lavrova, Alexander Linke, Sebastian Franz, Joachim Rang and Friedhelm Schieweck and has published in prestigious journals such as Computer Methods in Applied Mechanics and Engineering, Mathematics of Computation and Chemical Engineering Science.

In The Last Decade

Gunar Matthies

53 papers receiving 1.1k citations

Peers

Gunar Matthies

CTM

EEE

Eleanor W. Jenkins United States

Ricardo Oyarzúa Chile

Guosheng Fu United States

Nabil Nassif Lebanon

Piotr Skrzypacz Kazakhstan

Sara Zahedi Sweden

Alexei Lozinski France

Jianying Zhang China

F. A. Howes United States

Eleanor W. Jenkins United States

Gunar Matthies

393 ×0.4

82 ×0.2

165 ×0.5

CTM

49 ×0.3

EEE

47 ×0.3

Citations per year, relative to Gunar Matthies Gunar Matthies (= 1×) peers Eleanor W. Jenkins

Countries citing papers authored by Gunar Matthies

Since Specialization

Citations

This map shows the geographic impact of Gunar Matthies'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 Gunar Matthies with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Gunar Matthies more than expected).

Fields of papers citing papers by Gunar Matthies

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Gunar Matthies. 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 Gunar Matthies. The network helps show where Gunar Matthies may publish in the future.

Co-authorship network of co-authors of Gunar Matthies

This figure shows the co-authorship network connecting the top 25 collaborators of Gunar Matthies. A scholar is included among the top collaborators of Gunar Matthies 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 Gunar Matthies. Gunar Matthies 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

Ahmed, Naveed, Volker John, Gunar Matthies, & Julia Novo. (2018). A local projection stabilization/continuous Galerkin–Petrov method for incompressible flow problems. Applied Mathematics and Computation. 333. 304–324.

Franz, Sebastian & Gunar Matthies. (2017). A unified framework for time-dependent singularly perturbed problems with discontinuous Galerkin methods in time. Mathematics of Computation. 87(313). 2113–2132. 6 indexed citations

Franz, Sebastian, et al.. (2016). Grad-div stabilized discretizations on S-type meshes for the Oseen problem. IMA Journal of Numerical Analysis. 38(1). 299–329. 3 indexed citations

Ahmed, Naveed & Gunar Matthies. (2015). Higher order continuous Galerkin−Petrov time stepping schemes for transient convection-diffusion-reaction equations. ESAIM Mathematical Modelling and Numerical Analysis. 49(5). 1429–1450. 8 indexed citations

Linke, Alexander, Gunar Matthies, & Lutz Tobiska. (2014). Robust arbitrary order mixed finite element methods for the incompressible Stokes equations. Open MIND. 1 indexed citations

Matthies, Gunar. (2014). Numerical study of SUPG and LPS methods combined with higher order variational time discretization schemes applied to time-dependent convection-diffusion-reaction equations. 1 indexed citations

Ahmed, Naveed, Gunar Matthies, & Lutz Tobiska. (2011). Finite element methods of an operator splitting applied to population balance equations. Journal of Computational and Applied Mathematics. 236(6). 1604–1621. 18 indexed citations

Franz, Sebastian & Gunar Matthies. (2011). Convergence on layer-adapted meshes and anisotropic interpolation error estimates of non-standard higher order finite elements. Applied Numerical Mathematics. 61(6). 723–737. 6 indexed citations

Matthies, Gunar, Piotr Skrzypacz, & Lutz Tobiska. (2008). Stabilization of local projection type applied to convection-diffusion problems with mixed boundary conditions.. ETNA - Electronic Transactions on Numerical Analysis. 32. 90–105. 31 indexed citations

10.

Linke, Alexander, Gunar Matthies, & Lutz Tobiska. (2008). Non-nested multi-grid solvers for mixed divergence-free Scott–Vogelius discretizations. Computing. 83(2-3). 87–107. 9 indexed citations

11.

Matthies, Gunar & Friedhelm Schieweck. (2008). Nonconforming finite elements of higher order satisfying a new compatibility condition. Journal of Numerical Mathematics. 16(1). 4 indexed citations

12.

Richter, R., et al.. (2007). Growth of surface undulations at the Rosensweig instability. Physical Review E. 76(6). 66301–66301. 21 indexed citations

13.

Matthies, Gunar. (2007). Inf-sup stable nonconforming finite elements of higher order on quadrilaterals and hexahedra. ESAIM Mathematical Modelling and Numerical Analysis. 41(5). 855–874. 10 indexed citations

14.

Matthies, Gunar & Lutz Tobiska. (2007). Mass conservation of finite element methods for coupled flow-transport problems. International Journal of Computing Science and Mathematics. 1(2/3/4). 293–293. 12 indexed citations

15.

Franca, Leopoldo P., Volker John, Gunar Matthies, & Lutz Tobiska. (2007). An inf-sup Stable and Residual-Free Bubble Element for the Oseen Equations. SIAM Journal on Numerical Analysis. 45(6). 2392–2407. 17 indexed citations

16.

Lavrova, O. A., et al.. (2006). Numerical treatment of free surface problems in ferrohydrodynamics. Journal of Physics Condensed Matter. 18(38). S2657–S2669. 55 indexed citations

17.

Matthies, Gunar, Piotr Skrzypacz, & Lutz Tobiska. (2004). Superconvergence of a 3D finite element method for stationary Stokes and Navier‐Stokes problems. Numerical Methods for Partial Differential Equations. 21(4). 701–725. 10 indexed citations

18.

Matthies, Gunar & Lutz Tobiska. (2004). Numerical simulation of normal-field instability in the static and dynamic case. Journal of Magnetism and Magnetic Materials. 289. 346–349. 16 indexed citations

19.

Matthies, Gunar & Lutz Tobiska. (2002). Finite Element Simulations of Magnetic Liquids with Free Boundaries. PAMM. 1(1). 319–319. 1 indexed citations

20.

John, Volker & Gunar Matthies. (2001). Higher‐order finite element discretizations in a benchmark problem for incompressible flows. International Journal for Numerical Methods in Fluids. 37(8). 885–903. 87 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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