Lutz Tobiska

6.3k total citations · 2 hit papers
109 papers, 4.6k citations indexed

About

Lutz Tobiska is a scholar working on Computational Mechanics, Numerical Analysis and Computational Theory and Mathematics. According to data from OpenAlex, Lutz Tobiska has authored 109 papers receiving a total of 4.6k indexed citations (citations by other indexed papers that have themselves been cited), including 78 papers in Computational Mechanics, 38 papers in Numerical Analysis and 34 papers in Computational Theory and Mathematics. Recurrent topics in Lutz Tobiska's work include Advanced Numerical Methods in Computational Mathematics (60 papers), Advanced Mathematical Modeling in Engineering (31 papers) and Differential Equations and Numerical Methods (28 papers). Lutz Tobiska is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (60 papers), Advanced Mathematical Modeling in Engineering (31 papers) and Differential Equations and Numerical Methods (28 papers). Lutz Tobiska collaborates with scholars based in Germany, Belarus and India. Lutz Tobiska's co-authors include Martin Stynes, Hans‐Görg Roos, Gunar Matthies, Sashikumaar Ganesan, William Layton, Volker John, R. Verfürth, Dmitri Kuzmin, Nicola Parolini and Erik Burman and has published in prestigious journals such as Journal of Computational Physics, International Journal of Heat and Mass Transfer and Journal of Chromatography A.

In The Last Decade

Lutz Tobiska

107 papers receiving 4.3k citations

Hit Papers

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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.

Numerical Methods for Singularly Perturbed Differential Equations

1996 866 citations Hans‐Görg Roos, Martin Stynes et al. profile →
Robust Numerical Methods for Singularly Perturbed Differential Equations

2008 338 citations Hans‐Görg Roos, Martin Stynes et al. profile →

Peers

Countries citing papers authored by Lutz Tobiska

Since Specialization

Citations

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

Fields of papers citing papers by Lutz Tobiska

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Lutz Tobiska

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

#	Work	Indexed citations
1	Robust arbitrary order mixed finite element methods for the incompressible Stokes equations 2014 ·Open MIND ·Alexander Linke, Gunar Matthies, Lutz Tobiska	1
2	Reduction of a Crystallizer Model With Internal and External Coordinates by Proper Orthogonal Decomposition 2010 ·Max Planck Institute for Plasma Physics ·(unknown), M. Mangold, Sashikumaar Ganesan, Lutz Tobiska	1
3	On the stability of finite-element discretizations of convection-diffusion-reaction equations 2009 ·IMA Journal of Numerical Analysis ·Petr Knobloch, Lutz Tobiska	20
4	Stabilization of local projection type applied to convection-diffusion problems with mixed boundary conditions. 2008 ·ETNA - Electronic Transactions on Numerical Analysis ·Gunar Matthies, Piotr Skrzypacz, Lutz Tobiska	31
5	COMPUTATIONS OF FLOWS WITH INTERFACES USING ARBITRARY LAGRANGIAN EULERIAN METHOD 2006 ·Research Repository (Delft University of Technology) ·Sashikumaar Ganesan, Lutz Tobiska	7
6	Comparison of possible arrangements of five identical columns in preparative chromatography 2006 ·Journal of Chromatography A ·(unknown), Dorota Antos, Lutz Tobiska, Andreas Seidel‐Morgenstern	26
7	Numerical treatment of free surface problems in ferrohydrodynamics 2006 ·Journal of Physics Condensed Matter ·O. A. Lavrova, Gunar Matthies, (unknown), (unknown), Lutz Tobiska	55
8	Mini-Workshop: Interface Problems in Computational Fluid Dynamics 2005 ·Oberwolfach Reports ·Eberhard Bänsch, Lutz Tobiska, Noel J. Walkington	0
9	Finite element and matched asymptotic expansion methods for chemical reactor flow problems 2005 ·PAMM ·Piotr Skrzypacz, Lutz Tobiska	0
10	Superconvergence of a 3D finite element method for stationary Stokes and Navier‐Stokes problems 2004 ·Numerical Methods for Partial Differential Equations ·Gunar Matthies, Piotr Skrzypacz, Lutz Tobiska	10
11	Numerical simulation of normal-field instability in the static and dynamic case 2004 ·Journal of Magnetism and Magnetic Materials ·Gunar Matthies, Lutz Tobiska	16
12	The P₁^mod Element: A New Nonconforming Finite Element for Convection-Diffusion Problems 2003 ·SIAM Journal on Numerical Analysis ·Petr Knobloch, Lutz Tobiska	28
13	Finite Element Simulations of Magnetic Liquids with Free Boundaries 2002 ·PAMM ·Gunar Matthies, Lutz Tobiska	1
14	Computer modeling of the instability of a horizontal magnetic-fluid layer in a uniform magnetic field 2002 ·Journal of Magnetism and Magnetic Materials ·В. Г. Баштовой, O. A. Lavrova, (unknown), Lutz Tobiska	13
15	Stabilization methods of bubble type for theQ₁/Q₁-element applied to the incompressible Navier-Stokes equations 2000 ·ESAIM Mathematical Modelling and Numerical Analysis ·Petr Knobloch, Lutz Tobiska	7
16	A Two-Level Method with Backtracking for the Navier--Stokes Equations 1998 ·SIAM Journal on Numerical Analysis ·William Layton, Lutz Tobiska	177
17	Error estimates and numerical experiments for streamline-diffusion-type methods on arbitrary and Shishkin meshes 1997 ·Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands ·Martin Stynes, Lutz Tobiska	2
18	Numerical methods for singularly perturbed differential equations : convection-diffusion and flow problems 1996 ·Springer eBooks ·Hans‐Görg Roos, Martin Stynes, Lutz Tobiska	372
19	An enclosure generating modification of the method of discretization in time 1987 ·Commentationes Mathematicae Universitatis Carolinae ·(unknown), Hans‐Görg Roos, Lutz Tobiska	2
20	Singularly Perturbed Differential Equations 1983 ·Hans‐Görg Roos, Lutz Tobiska, (unknown), (unknown), Gert Lube	26

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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