Martin Vohralı́k

2.9k total citations
95 papers, 1.8k citations indexed

About

Martin Vohralı́k is a scholar working on Computational Mechanics, Computational Theory and Mathematics and Mechanics of Materials. According to data from OpenAlex, Martin Vohralı́k has authored 95 papers receiving a total of 1.8k indexed citations (citations by other indexed papers that have themselves been cited), including 83 papers in Computational Mechanics, 56 papers in Computational Theory and Mathematics and 30 papers in Mechanics of Materials. Recurrent topics in Martin Vohralı́k's work include Advanced Numerical Methods in Computational Mathematics (82 papers), Advanced Mathematical Modeling in Engineering (47 papers) and Computational Fluid Dynamics and Aerodynamics (30 papers). Martin Vohralı́k is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (82 papers), Advanced Mathematical Modeling in Engineering (47 papers) and Computational Fluid Dynamics and Aerodynamics (30 papers). Martin Vohralı́k collaborates with scholars based in France, Czechia and Germany. Martin Vohralı́k's co-authors include Alexandre Ern, Dorothea Hilhorst, Robert Eymard, Jiří Maryška, Barbara Wohlmuth, Zdeněk Strakoš, Annette F. Stephansen, Mary F. Wheeler, Daniele A. Di Pietro and Serge Nicaise and has published in prestigious journals such as Journal of Computational Physics, Computer Methods in Applied Mechanics and Engineering and Mathematics of Computation.

In The Last Decade

Martin Vohralı́k

89 papers receiving 1.7k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Martin Vohralı́k France 25 1.6k 844 618 360 304 95 1.8k
Paola F. Antonietti Italy 24 1.6k 1.0× 700 0.8× 992 1.6× 246 0.7× 490 1.6× 107 2.0k
Andrea Cangiani United Kingdom 18 1.8k 1.2× 705 0.8× 1.1k 1.9× 292 0.8× 584 1.9× 38 2.1k
Hongxing Rui China 21 1.3k 0.8× 442 0.5× 584 0.9× 571 1.6× 198 0.7× 155 1.7k
Miloslav Feistauer Czechia 28 1.6k 1.0× 596 0.7× 379 0.6× 607 1.7× 195 0.6× 107 1.9k
Gerhard Starke Germany 20 717 0.5× 536 0.6× 413 0.7× 236 0.7× 152 0.5× 56 1.1k
Emmanuil H. Georgoulis United Kingdom 18 1.1k 0.7× 432 0.5× 544 0.9× 247 0.7× 281 0.9× 53 1.3k
Gonzalo R. Feijóo United States 5 978 0.6× 743 0.9× 727 1.2× 64 0.2× 115 0.4× 14 1.3k
Shangyou Zhang United States 24 3.1k 2.0× 1.4k 1.7× 1.7k 2.7× 575 1.6× 932 3.1× 179 3.4k
Abimael F. D. Loula Brazil 19 977 0.6× 370 0.4× 668 1.1× 144 0.4× 257 0.8× 92 1.4k
Vít Dolejší Czechia 20 1.1k 0.7× 299 0.4× 239 0.4× 431 1.2× 137 0.5× 65 1.2k

Countries citing papers authored by Martin Vohralı́k

Since Specialization
Citations

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

Fields of papers citing papers by Martin Vohralı́k

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Martin Vohralı́k

This figure shows the co-authorship network connecting the top 25 collaborators of Martin Vohralı́k. A scholar is included among the top collaborators of Martin Vohralı́k 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 Martin Vohralı́k. Martin Vohralı́k 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.
Vohralı́k, Martin, et al.. (2024). Constrained and Unconstrained Stable Discrete Minimizations for p-Robust Local Reconstructions in Vertex Patches in the de Rham Complex. Foundations of Computational Mathematics. 26(1). 483–524. 1 indexed citations
2.
Vohralı́k, Martin, et al.. (2024). A posteriori error estimates for the Richards equation. Mathematics of Computation. 93(347). 1053–1096. 1 indexed citations
3.
Vohralı́k, Martin, et al.. (2023). Adaptive regularization, discretization, and linearization for nonsmooth problems based on primal–dual gap estimators. Computer Methods in Applied Mechanics and Engineering. 418. 116558–116558. 5 indexed citations
4.
Vohralı́k, Martin, et al.. (2022). Guaranteed contraction of adaptive inexact hp-refinement strategies with realistic stopping criteria. ESAIM. Mathematical modelling and numerical analysis. 57(1). 329–366. 1 indexed citations
5.
Vohralı́k, Martin, et al.. (2021). A-Posteriori-Steered $p$-Robust Multigrid with Optimal Step-Sizes and Adaptive Number of Smoothing Steps. SIAM Journal on Scientific Computing. 43(5). S117–S145. 3 indexed citations
6.
Cancès, Éric, et al.. (2020). Guaranteed a posteriori bounds for eigenvalues and eigenvectors: Multiplicities and clusters. Mathematics of Computation. 89(326). 2563–2611. 6 indexed citations
7.
Rüde, Ulrich, et al.. (2020). Sharp algebraic and total a posteriori error bounds for h and p finite elements via a multilevel approach. Recovering mass balance in any situation. Computer Methods in Applied Mechanics and Engineering. 371. 113243–113243. 11 indexed citations
8.
Kratochvíl, Lukáš, Lukáš Kubička, Martin Vohralı́k, & Zuzana Starostová. (2018). Variability in vertebral numbers does not contribute to sexual size dimorphism, interspecific variability, or phenotypic plasticity in body size in geckos (Squamata: Gekkota: Paroedura). Journal of Experimental Zoology Part A Ecological and Integrative Physiology. 329(4-5). 185–190. 6 indexed citations
9.
Japhet, Caroline, et al.. (2018). A Posteriori Stopping Criteria for Optimized Schwarz Domain Decomposition Algorithms in Mixed Formulations. Computational Methods in Applied Mathematics. 18(3). 495–519. 8 indexed citations
10.
Rüde, Ulrich, et al.. (2017). Sharp algebraic and total a posteriori error bounds for $h$ and $p$ finite elements via a multilevel approach. Université Pierre et Marie CURIE (UPMC). 2 indexed citations
11.
Ern, Alexandre, Iain Smears, & Martin Vohralı́k. (2017). Discrete p-robust $$\varvec{H}({{\mathrm{div}}})$$ H ( div ) -liftings and a posteriori estimates for elliptic problems with $$H^{-1}$$ H - 1 source terms. CALCOLO. 54(3). 1009–1025. 12 indexed citations
12.
Dolejší, Vít, Alexandre Ern, & Martin Vohralı́k. (2016). $hp$-Adaptation Driven by Polynomial-Degree-Robust A Posteriori Error Estimates for Elliptic Problems. SIAM Journal on Scientific Computing. 38(5). A3220–A3246. 28 indexed citations
13.
Pietro, Daniele A. Di, et al.. (2014). Adaptive regularization, linearization, and discretization and a posteriori error control for the two-phase Stefan problem. Mathematics of Computation. 84(291). 153–186. 23 indexed citations
14.
Pietro, Daniele A. Di, et al.. (2013). A posteriori error estimates with application of adaptive mesh refinement for thermal multiphase compositional flows in porous media.
15.
Ern, Alexandre & Martin Vohralı́k. (2013). Adaptive Inexact Newton Methods with A Posteriori Stopping Criteria for Nonlinear Diffusion PDEs. SIAM Journal on Scientific Computing. 35(4). A1761–A1791. 101 indexed citations
16.
Vohralı́k, Martin. (2010). Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods. Mathematics of Computation. 79(272). 2001–2032. 40 indexed citations
17.
Ern, Alexandre & Martin Vohralı́k. (2010). A Posteriori Error Estimation Based on Potential and Flux Reconstruction for the Heat Equation. SIAM Journal on Numerical Analysis. 48(1). 198–223. 52 indexed citations
18.
Belgacem, Faker Ben, et al.. (2009). On the Unilateral Contact Between Membranes. Part 1: Finite Element Discretization and Mixed Reformulation. Mathematical Modelling of Natural Phenomena. 4(1). 21–43. 9 indexed citations
19.
Ern, Alexandre, Serge Nicaise, & Martin Vohralı́k. (2007). An accurate H ( div ) flux reconstruction for discontinuous Galerkin approximations of elliptic problems. Comptes Rendus Mathématique. 345(12). 709–712. 61 indexed citations
20.
Vohralı́k, Martin. (2007). A Posteriori Error Estimates for Lowest-Order Mixed Finite Element Discretizations of Convection-Diffusion-Reaction Equations. SIAM Journal on Numerical Analysis. 45(4). 1570–1599. 90 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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