Patrick Witomski

436 total citations
18 papers, 257 citations indexed

About

Patrick Witomski is a scholar working on Computational Theory and Mathematics, Computational Mechanics and Mathematical Physics. According to data from OpenAlex, Patrick Witomski has authored 18 papers receiving a total of 257 indexed citations (citations by other indexed papers that have themselves been cited), including 9 papers in Computational Theory and Mathematics, 6 papers in Computational Mechanics and 5 papers in Mathematical Physics. Recurrent topics in Patrick Witomski's work include Advanced Mathematical Modeling in Engineering (7 papers), Nonlinear Partial Differential Equations (4 papers) and Advanced Numerical Methods in Computational Mathematics (3 papers). Patrick Witomski is often cited by papers focused on Advanced Mathematical Modeling in Engineering (7 papers), Nonlinear Partial Differential Equations (4 papers) and Advanced Numerical Methods in Computational Mathematics (3 papers). Patrick Witomski collaborates with scholars based in France. Patrick Witomski's co-authors include Emmanuel Maitre, Jérôme Monnier, Thierry Duffar, Jean‐Michel Morel, Raoul Robert, Michelle Schatzman, Jean‐Michel Lasry, J. Heyvaerts and Jean Duchon and has published in prestigious journals such as Computer Methods in Applied Mechanics and Engineering, Journal of Crystal Growth and SIAM Journal on Applied Mathematics.

In The Last Decade

Patrick Witomski

16 papers receiving 221 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Patrick Witomski France	7	63	52	49	47	39	18	257
John L. Troutman United States	6	36 0.6×	34 0.7×	44 0.9×	33 0.7×	46 1.2×	12	311
Ryoji Ohba Japan	9	54 0.9×	79 1.5×	17 0.3×	77 1.6×	41 1.1×	28	288
Georg Zimmermann Germany	9	67 1.1×	26 0.5×	161 3.3×	67 1.4×	44 1.1×	26	370
Hong Xiao United States	8	107 1.7×	49 0.9×	101 2.1×	40 0.9×	52 1.3×	15	326
Beong In Yun South Korea	11	56 0.9×	28 0.5×	66 1.3×	20 0.4×	88 2.3×	45	359
J. Morris United Kingdom	7	101 1.6×	108 2.1×	26 0.5×	17 0.4×	69 1.8×	16	502
Fritz Keinert United States	8	39 0.6×	16 0.3×	56 1.1×	148 3.1×	19 0.5×	20	320
R. Bains United Kingdom	11	35 0.6×	54 1.0×	14 0.3×	20 0.4×	22 0.6×	19	348
S.J.L. van Eijndhoven Netherlands	10	13 0.2×	69 1.3×	89 1.8×	17 0.4×	42 1.1×	46	320
B. Lacaze France	10	51 0.8×	105 2.0×	64 1.3×	88 1.9×	30 0.8×	84	347

Countries citing papers authored by Patrick Witomski

Since Specialization

Citations

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

Fields of papers citing papers by Patrick Witomski

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Patrick Witomski

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

All Works

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18 of 18 papers shown

Monnier, Jérôme, et al.. (2009). Numerical Modeling of Electrowetting by a Shape Inverse Approach. SIAM Journal on Applied Mathematics. 69(5). 1477–1500. 5 indexed citations

Witomski, Patrick, et al.. (2008). A proof of the invariance of the contact angle in electrowetting. Mathematical and Computer Modelling. 49(3-4). 647–665. 12 indexed citations

Witomski, Patrick, et al.. (2004). Optimization of the Bridgman crystal growth process. Journal of Crystal Growth. 266(1-3). 175–181. 14 indexed citations

Monnier, Jérôme & Patrick Witomski. (2004). Analysis of a Local Hydrodynamic Model with Marangoni Effect. Journal of Scientific Computing. 21(3). 369–403. 10 indexed citations

Maitre, Emmanuel & Patrick Witomski. (2002). A pseudo-monotonicity adapted to doubly nonlinear elliptic–parabolic equations. Nonlinear Analysis. 50(2). 223–250. 20 indexed citations

Witomski, Patrick, et al.. (2000). Die optimal shape in a crystal growth process. Journal of Crystal Growth. 209(4). 983–993. 5 indexed citations

Maitre, Emmanuel & Patrick Witomski. (1999). Transport equation with boundary conditions for free surface localization. Numerische Mathematik. 84(2). 275–303. 6 indexed citations

Witomski, Patrick, et al.. (1999). Problème de capillarité avec conditions aux limites mixtes. Comptes Rendus de l Académie des Sciences - Series I - Mathematics. 329(4). 343–346. 1 indexed citations

Witomski, Patrick, et al.. (1999). Fourier Analysis and Applications. HAL (Le Centre pour la Communication Scientifique Directe). 151 indexed citations

10.

Maitre, Emmanuel & Patrick Witomski. (1996). Nonlinear elliptic-parabolic equations and B-pseudomonotonicity. Applied Mathematics Letters. 9(4). 71–75. 1 indexed citations

11.

Witomski, Patrick. (1996). Approximation of the capillarity problem by an augmented lagrangian method. Numerical Algorithms. 12(2). 321–346. 1 indexed citations

12.

Witomski, Patrick, et al.. (1991). Équation de la chaleur et réflections multiples. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 8(6). 677–689. 12 indexed citations

13.

Witomski, Patrick, et al.. (1990). Analyse de Fourier et applications : filtrage, calcul numérique, ondelettes. Masson eBooks. 11 indexed citations

14.

Robert, Raoul & Patrick Witomski. (1985). Sur une �quation d'�volution int�gro-diff�rentielle singuli�re lin�aire. Numerische Mathematik. 46(4). 493–498. 2 indexed citations

15.

Witomski, Patrick, et al.. (1984). A homotopy method for solving an equation of the type $− Δu = F(u)$. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 1(4). 205–222. 2 indexed citations

16.

Heyvaerts, J., Jean‐Michel Lasry, Michelle Schatzman, & Patrick Witomski. (1983). A mathematical model of solar flares. Quarterly of Applied Mathematics. 41(1). 1–30. 2 indexed citations

17.

Witomski, Patrick. (1982). The steady state heat equation with mixed nonlinear boundary conditions—an example in crystallography. Computer Methods in Applied Mechanics and Engineering. 35(1). 47–66. 1 indexed citations

18.

Duchon, Jean, Raoul Robert, & Patrick Witomski. (1980). Probl�me de Dirichlet dans l'image Bilipschitzienne d'un demi-espace. Numerische Mathematik. 36(2). 129–149. 1 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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