Pierre-Arnaud Raviart

20.5k total citations · 4 hit papers
75 papers, 12.0k citations indexed

About

Pierre-Arnaud Raviart is a scholar working on Computational Mechanics, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, Pierre-Arnaud Raviart has authored 75 papers receiving a total of 12.0k indexed citations (citations by other indexed papers that have themselves been cited), including 46 papers in Computational Mechanics, 32 papers in Applied Mathematics and 18 papers in Computational Theory and Mathematics. Recurrent topics in Pierre-Arnaud Raviart's work include Advanced Numerical Methods in Computational Mathematics (24 papers), Computational Fluid Dynamics and Aerodynamics (20 papers) and Gas Dynamics and Kinetic Theory (18 papers). Pierre-Arnaud Raviart is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (24 papers), Computational Fluid Dynamics and Aerodynamics (20 papers) and Gas Dynamics and Kinetic Theory (18 papers). Pierre-Arnaud Raviart collaborates with scholars based in France, Italy and United States. Pierre-Arnaud Raviart's co-authors include Vivette Girault, Edwige Godlewski, Michel Crouzeix, Philippe G. Ciarlet, Franco Brezzi, Jacques Rappaz, J. M. Thomas, William W. Hager, Pierre Degond and Georges‐Henri Cottet and has published in prestigious journals such as Physical Review Letters, Journal of Computational Physics and Computer Methods in Applied Mechanics and Engineering.

In The Last Decade

Pierre-Arnaud Raviart

72 papers receiving 10.6k citations

Hit Papers

align trajectories sort by overperformance

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.

Finite Element Methods for Navier-Stokes Equations Theory and Algorithms

1986 3.4k citations Vivette Girault, Pierre-Arnaud Raviart profile →
Finite Element Methods for Navier-Stokes Equations

1986 3.1k citations Vivette Girault, Pierre-Arnaud Raviart profile →
Conforming and nonconforming finite element methods for solving the stationary Stokes equations I

1973 1.0k citations Michel Crouzeix, Pierre-Arnaud Raviart Springer Link (Chiba Institute of Technology) profile →
Numerical Approximation of Hyperbolic Systems of Conservation Laws

1996 911 citations Edwige Godlewski, Pierre-Arnaud Raviart profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Pierre-Arnaud Raviart France	32	9.7k	4.1k	3.5k	1.9k	1.8k	75	12.0k
Vivette Girault France	34	9.5k 1.0×	4.7k 1.1×	3.6k 1.0×	2.0k 1.0×	1.2k 0.7×	101	11.4k
Roland Glowinski United States	53	9.3k 1.0×	4.8k 1.1×	2.3k 0.7×	1.2k 0.6×	822 0.5×	268	14.1k
Jim Douglas United States	50	7.8k 0.8×	3.7k 0.9×	3.5k 1.0×	2.0k 1.0×	645 0.4×	143	11.3k
Rolf Rannacher Germany	38	7.0k 0.7×	3.1k 0.7×	2.5k 0.7×	1.2k 0.6×	740 0.4×	109	9.2k
Björn Engquist United States	47	7.1k 0.7×	2.2k 0.5×	2.7k 0.8×	3.4k 1.8×	1.8k 1.0×	141	13.6k
Susanne C. Brenner United States	34	8.6k 0.9×	4.5k 1.1×	4.9k 1.4×	2.4k 1.2×	418 0.2×	129	10.6k
Vidar Thomée Sweden	45	4.6k 0.5×	3.1k 0.8×	2.2k 0.6×	904 0.5×	1.1k 0.6×	138	8.4k
Douglas N. Arnold United States	40	8.2k 0.8×	3.2k 0.8×	4.6k 1.3×	2.4k 1.2×	339 0.2×	90	10.1k
Jie Shen United States	65	10.1k 1.0×	3.0k 0.7×	1.9k 0.5×	1.3k 0.7×	1.6k 0.9×	292	18.9k
Bernardo Cockburn United States	59	19.9k 2.1×	3.8k 0.9×	4.4k 1.3×	4.5k 2.3×	2.1k 1.2×	203	22.2k

Countries citing papers authored by Pierre-Arnaud Raviart

Since Specialization

Citations

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

Fields of papers citing papers by Pierre-Arnaud Raviart

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Pierre-Arnaud Raviart. 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 Pierre-Arnaud Raviart. The network helps show where Pierre-Arnaud Raviart may publish in the future.

Co-authorship network of co-authors of Pierre-Arnaud Raviart

This figure shows the co-authorship network connecting the top 25 collaborators of Pierre-Arnaud Raviart. A scholar is included among the top collaborators of Pierre-Arnaud Raviart 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 Pierre-Arnaud Raviart. Pierre-Arnaud Raviart 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

Chalons, Christophe, et al.. (2011). A Godunov-type method for the seven-equation model of compressible two-phase flow. Computers & Fluids. 54. 67–91. 81 indexed citations

Chalons, Christophe, et al.. (2008). The drift-flux asymptotic limit of barotropic two-phase two-pressure models. Communications in Mathematical Sciences. 6(2). 521–529. 14 indexed citations

Godlewski, Edwige & Pierre-Arnaud Raviart. (2004). The numerical interface coupling of nonlinear hyperbolic systems of conservation laws: I. The scalar case. Numerische Mathematik. 97(1). 81–130. 56 indexed citations

Raviart, Pierre-Arnaud, et al.. (2001). Two-scale expansion of a singularly perturbed convection equation. Journal de Mathématiques Pures et Appliquées. 80(8). 815–843. 24 indexed citations

Méhats, Florian, et al.. (2001). On singular perturbation problems for the nonlinear Poisson equation. Asymptotic Analysis. 25(1). 39–91. 11 indexed citations

Godlewski, Edwige & Pierre-Arnaud Raviart. (1999). The linearized stability of solutions of nonlinear hyperbolic systems of conservation laws. Mathematics and Computers in Simulation. 50(1-4). 77–95. 23 indexed citations

Degond, Pierre, Stéphane Jaffard, F. Poupaud, & Pierre-Arnaud Raviart. (1996). The Child-Langmuir Asymptotics of the Vlasov-Poisson Equation for Cylindrically or Spherically Symmetric Diodes Part 1: Statement of the Problem and Basic Estimates. Mathematical Methods in the Applied Sciences. 19(4). 287–312. 11 indexed citations

Raviart, Pierre-Arnaud & Éric Sonnendrücker. (1995). Approximate models for the Maxwell equations. Journal of Computational and Applied Mathematics. 63(1-3). 69–81. 18 indexed citations

Bourgeade, A., et al.. (1989). An asymptotic expansion for the solution of the generalized Riemann problem. Part 2 : application to the equations of gas dynamics. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 6(6). 437–480. 42 indexed citations

10.

Raviart, Pierre-Arnaud. (1986). Particle approximation of first order systems. Journal of Computational Mathematics. 4(1). 50–61. 7 indexed citations

11.

Cottet, Georges‐Henri & Pierre-Arnaud Raviart. (1984). Particle Methods for the One-Dimensional Vlasov–Poisson Equations. SIAM Journal on Numerical Analysis. 21(1). 52–76. 89 indexed citations

12.

Girault, Vivette & Pierre-Arnaud Raviart. (1982). An Analysis of Upwind Schemes for the Navier–Stokes Equations. SIAM Journal on Numerical Analysis. 19(2). 312–333. 17 indexed citations

13.

Brezzi, Franco, Jacques Rappaz, & Pierre-Arnaud Raviart. (1981). Finite Dimensional Approximation of Non-Linear Problems .3. Simple Bifurcation Points. Infoscience (Ecole Polytechnique Fédérale de Lausanne). 38(1). 1–30. 42 indexed citations

14.

Raviart, Pierre-Arnaud. (1981). Finite element methods in fluid mechanics. 2 indexed citations

15.

Adam, Jost, et al.. (1980). Study of an implicit scheme for integrating Maxwell's equations. Computer Methods in Applied Mechanics and Engineering. 22(3). 327–346. 20 indexed citations

16.

Girault, Vivette & Pierre-Arnaud Raviart. (1979). Finite element approximation of the Navier-Stockes equations. Infoscience (Ecole Polytechnique Fédérale de Lausanne). 1 indexed citations

17.

Crouzeix, Michel & Pierre-Arnaud Raviart. (1973). Conforming and nonconforming finite element methods for solving the stationary Stokes equations I. Springer Link (Chiba Institute of Technology). 7(R3). 33–75. 1006 indexed citations breakdown →

18.

Raviart, Pierre-Arnaud. (1971). Pseudo-viscosity methods and nonlinear hyperbolic equations. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 323(1553). 277–283. 2 indexed citations

19.

Raviart, Pierre-Arnaud. (1970). Sur la résolution de certaines equations paraboliques non linéaires. Journal of Functional Analysis. 5(2). 299–328. 85 indexed citations

20.

Raviart, Pierre-Arnaud, et al.. (1968). Sur l'approximation du problème de Dirichlet pour les opérateurs elliptiques d'ordre 2. French digital mathematics library (Numdam). 2. 1–64. 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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