Arnd Rösch

1.8k total citations
65 papers, 1.2k citations indexed

About

Arnd Rösch is a scholar working on Computational Theory and Mathematics, Computational Mechanics and Numerical Analysis. According to data from OpenAlex, Arnd Rösch has authored 65 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 51 papers in Computational Theory and Mathematics, 48 papers in Computational Mechanics and 18 papers in Numerical Analysis. Recurrent topics in Arnd Rösch's work include Advanced Numerical Methods in Computational Mathematics (47 papers), Advanced Mathematical Modeling in Engineering (35 papers) and Contact Mechanics and Variational Inequalities (14 papers). Arnd Rösch is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (47 papers), Advanced Mathematical Modeling in Engineering (35 papers) and Contact Mechanics and Variational Inequalities (14 papers). Arnd Rösch collaborates with scholars based in Germany, Austria and Spain. Arnd Rösch's co-authors include Christian Meyer, Fredi Tröltzsch, Karl Kunisch, Daniel Wachsmuth, Thomas Apel, Mariano Mateos, Boris Vexler, Kunibert G. Siebert, Eduardo Casas and Ira Neitzel and has published in prestigious journals such as Mathematics of Computation, SIAM Journal on Numerical Analysis and SIAM Journal on Control and Optimization.

In The Last Decade

Arnd Rösch

62 papers receiving 1.0k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Arnd Rösch Germany 19 931 874 338 273 200 65 1.2k
Dan Tiba Romania 14 437 0.5× 586 0.7× 146 0.4× 232 0.8× 67 0.3× 69 816
Sergey Repin Russia 15 712 0.8× 506 0.6× 131 0.4× 338 1.2× 98 0.5× 91 894
Ricardo G. Durán Argentina 18 991 1.1× 494 0.6× 142 0.4× 656 2.4× 62 0.3× 30 1.2k
Mitsuhiro T. Nakao Japan 16 561 0.6× 496 0.6× 211 0.6× 121 0.4× 110 0.6× 91 851
Jean‐Pierre Raymond France 15 379 0.4× 548 0.6× 120 0.4× 78 0.3× 224 1.1× 52 856
Ricardo G. Durán Argentina 20 835 0.9× 554 0.6× 172 0.5× 559 2.0× 140 0.7× 47 1.2k
Julia Novo Spain 18 858 0.9× 316 0.4× 378 1.1× 147 0.5× 51 0.3× 65 1.0k
Amiya K. Pani India 23 1.0k 1.1× 420 0.5× 783 2.3× 611 2.2× 137 0.7× 124 1.7k
Kazimierz Malanowski Poland 16 239 0.3× 525 0.6× 303 0.9× 75 0.3× 73 0.4× 41 831
Danping Yang China 18 617 0.7× 249 0.3× 482 1.4× 394 1.4× 28 0.1× 88 1.0k

Countries citing papers authored by Arnd Rösch

Since Specialization
Citations

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

Fields of papers citing papers by Arnd Rösch

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Arnd Rösch

This figure shows the co-authorship network connecting the top 25 collaborators of Arnd Rösch. A scholar is included among the top collaborators of Arnd Rösch 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 Arnd Rösch. Arnd Rösch is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Rösch, Arnd, et al.. (2024). Numerical analysis of a nonsmooth quasilinear elliptic control problem: I. Explicit second-order optimality conditions. ESAIM. Mathematical modelling and numerical analysis. 58(3). 993–1029.
2.
Beuchler, Sven & Arnd Rösch. (2023). Recent Advances in Finite Element Methods. Computational Methods in Applied Mathematics. 23(4). 813–815. 1 indexed citations
3.
Clason, Christian, et al.. (2021). No-gap second-order optimality conditions for optimal control of a non-smooth quasilinear elliptic equation. Springer Link (Chiba Institute of Technology). 3 indexed citations
4.
Casas, Eduardo, Mariano Mateos, & Arnd Rösch. (2020). Analysis of control problems of nonmontone semilinear elliptic equations. ESAIM Control Optimisation and Calculus of Variations. 26. 80–80. 7 indexed citations
5.
Clason, Christian, et al.. (2020). Optimal control of a non-smooth quasilinear elliptic equation. Mathematical Control and Related Fields. 11(3). 521–521. 11 indexed citations
6.
Casas, Eduardo, Mariano Mateos, & Arnd Rösch. (2019). Error Estimates for Semilinear Parabolic Control Problems in the Absence of Tikhonov Term. SIAM Journal on Control and Optimization. 57(4). 2515–2540. 18 indexed citations
7.
Casas, Eduardo, Mariano Mateos, & Arnd Rösch. (2018). Improved approximation rates for a parabolic control problem with an objective promoting directional sparsity. Computational Optimization and Applications. 70(1). 239–266. 7 indexed citations
8.
Apel, Thomas, et al.. (2014). Finite element error estimates on the boundary with application to optimal control. Mathematics of Computation. 84(291). 33–70. 21 indexed citations
9.
Kien, B. T., et al.. (2014). Lower semicontinuity of the solution map to a parametric elliptic optimal control problem with mixed pointwise constraints. Optimization. 64(5). 1219–1238. 7 indexed citations
10.
Rösch, Arnd, et al.. (2013). Identification of an Unknown Parameter Function in the Main Part of an Elliptic Partial Differential Equation. Zeitschrift für Analysis und ihre Anwendungen. 32(2). 163–178. 5 indexed citations
11.
Tröltzsch, Fredi & Arnd Rösch. (2012). Introduction. Computational Optimization and Applications. 52(1). 1–2. 1 indexed citations
12.
Griesse, Roland, et al.. (2010). Local quadratic convergence of SQP for elliptic optimal control problems with mixed control-state constraints. Control and Cybernetics. 39(3). 717–738. 6 indexed citations
13.
14.
Mateos, Mariano & Arnd Rösch. (2009). On saturation effects in the Neumann boundary control of elliptic optimal control problems. Computational Optimization and Applications. 49(2). 359–378. 17 indexed citations
15.
Rösch, Arnd, et al.. (2008). Error Estimates for the Regularization of Optimal Control Problems with Pointwise Control and State Constraints. Zeitschrift für Analysis und ihre Anwendungen. 27(2). 195–212. 9 indexed citations
16.
Rösch, Arnd, et al.. (2008). On the regularization error of state constrained Neumann control problems. Control and Cybernetics. 37(2). 369–392. 5 indexed citations
17.
Rösch, Arnd, et al.. (2008). A new stopping criterion for iterative solvers for control optimal problems. Archives of Control Sciences. 18(1). 17–42. 3 indexed citations
18.
Alt, Walter, et al.. (2007). Error estimates for finite element approximations of elliptic control problems. 27(1). 7–7. 5 indexed citations
19.
Rösch, Arnd, et al.. (2007). Superconvergence Properties for Optimal Control Problems Discretized by Piecewise Linear and Discontinuous Functions. Numerical Functional Analysis and Optimization. 28(3-4). 425–443. 3 indexed citations
20.
Rösch, Arnd. (1996). Fréchet Differentiability of the Solution of the Heat Equation with Respect to a Nonlinear Boundary Condition. Zeitschrift für Analysis und ihre Anwendungen. 15(3). 603–618. 7 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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