Pierre Arnaud Raviart

Pierre Arnaud Raviart's AcademicInfluence.com Rankings

Mathematics

#5846

World Rank

#8191

Historical Rank

Applied Mathematics

#176

World Rank

#194

Historical Rank

Measure Theory

#976

World Rank

#1269

Historical Rank

mathematics Degrees

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Mathematics

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Pierre Arnaud Raviart's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Finite Element Methods for Navier-Stokes Equations - Theory and Algorithms (1986) (4958)
A mixed finite element method for 2-nd order elliptic problems (1977) (1791)
Conforming and nonconforming finite element methods for solving the stationary Stokes equations I (1973) (1547)
Finite Element Approximation of the Navier-Stokes Equations (1979) (1166)
On a Finite Element Method for Solving the Neutron Transport Equation (1974) (1078)
Numerical Approximation of Hyperbolic Systems of Conservation Laws (1996) (843)
Maximum principle and uniform convergence for the finite element method (1973) (494)
General lagrange and hermite interpolation in Rn with applications to finite element methods (1972) (470)
Finite element methods and Navier-Stokes equations (1979) (406)
Finite Dimensional Approximation of Non-Linear Problems .1. Branches of Nonsingular Solutions (1980) (326)
Primal hybrid finite element methods for 2nd order elliptic equations (1977) (319)
An analysis of particle methods (1985) (289)
Finite dimensional approximation of nonlinear problems (1981) (272)
Interpolation theory over curved elements, with applications to finite element methods (1972) (251)
On a finite-element method for solving the three-dimensional Maxwell equations (1993) (221)
THE COMBINED EFFECT OF CURVED BOUNDARIES AND NUMERICAL INTEGRATION IN ISOPARAMETRIC FINITE ELEMENT METHODS (1972) (211)
Error estimates for the finite element solution of variational inequalities (1977) (194)
Eigenvalue approximation by mixed and hybrid methods (1981) (190)
Finite dimensional approximation of nonlinear problems (1981) (177)
A Mixed Finite Element Method for the Biharmonic Equation (1974) (160)
A Godunov-type method for the seven-equation model of compressible two-phase flow (2012) (106)
Particle Methods for the One-Dimensional Vlasov–Poisson Equations (1984) (103)
An asymptotic expansion for the solution of the generalized Riemann problem Part I: General theory (1988) (92)
The numerical interface coupling of nonlinear hyperbolic systems of conservation laws: I. The scalar case (2004) (89)
A boundary-value problem for the stationary vlasov-poisson equations: The plane diode (1990) (82)
GODUNOV-TYPE SCHEMES FOR HYPERBOLIC SYSTEMS WITH PARAMETER-DEPENDENT SOURCE: THE CASE OF EULER SYSTEM WITH FRICTION (2010) (79)
An analysis of the Darwin model of approximation to Maxwell’s equations (1992) (73)
Finite Dimensional Approximation of Non-Linear Problems .3. Simple Bifurcation Points (1981) (73)
The numerical interface coupling of nonlinear hyperbolic systems of conservation laws: II. The case of systems (2005) (70)
A particle method for first-order symmetric systems (1987) (68)
An analysis of a mixed finite element method for the Navier-Stokes equations (1979) (61)
A NONCONSERVATIVE HYPERBOLIC SYSTEM MODELING SPRAY DYNAMICS. PART I: SOLUTION OF THE RIEMANN PROBLEM (1995) (57)
An asymptotic expansion for the solution of the generalized Riemann problem. Part 2 : application to the equations of gas dynamics (1989) (56)
Construction of modified Godunov-type schemes accurate at any Mach number for the compressible Euler system (2016) (54)
An asymptotic analysis of the one-dimensional Vlasov-Poisson system : the Child-Langmuir law (1991) (50)
A hierarchy of approximate models for the Maxwell equations (1996) (49)
TWO-SCALE EXPANSION OF A SINGULARLY PERTURBED CONVECTION EQUATION (2001) (45)
The coupling of homogeneous models for two-phase flows (2007) (42)
The linearized stability of solutions of nonlinear hyperbolic systems of conservation laws A general numerical approach (1999) (42)
On particle-in-cell methods for the Vlasov-Poisson equations (1986) (35)
Coupling of general Lagrangian systems (2007) (34)
Numerical solution of the stationary Navier-Stokes equations by finite element methods (1973) (33)
Study of an implicit scheme for integrating Maxwell's equations (1980) (32)
The interface coupling of the gas dynamics equations (2008) (32)
Finite dimensional approximation of nonlinear problems (1980) (32)
Characterization of the Singular Part of the Solution of Maxwell's Equations in a Polyhedral Domain (1999) (30)
Relaxation methods and coupling procedures (2008) (30)
The drift-flux asymptotic limit of barotropic two-phase two-pressure models (2008) (30)
ON THE PARAXIAL APPROXIMATION OF THE STATIONARY VLASOV-MAXWELL SYSTEM (1993) (27)
An Analysis of Upwind Schemes for the Navier–Stokes Equations (1982) (26)
Weakly nonlinear theory for the ablative Rayleigh-Taylor instability. (2003) (25)
Paraxial approximation of ultrarelativistic intense beams (1994) (24)
On singular perturbation problems for the nonlinear Poisson equation (2001) (24)
On a penalization of the Child-Langmuir emission condition for the one-dimensional Vlasov-Poisson equation (1992) (22)
Approximate models for the Maxwell equations (1995) (22)
Hybrid Finite Element Methods for Solving 2nd Order Elliptic Equations (1975) (21)
Finite element approximation of the Navier-Stockes equations (1979) (20)
EXISTENCE RESULT FOR THE COUPLING PROBLEM OF TWO SCALAR CONSERVATION LAWS WITH RIEMANN INITIAL DATA (2010) (18)
Finite element collocation methods for first-order systems (1979) (18)
The Child–Langmuir Asymptotics of the Vlasov–Poisson Equation for Cylindrically or Spherically Symmetric Diodes Part 1: Statement of the Problem and Basic Estimates (1996) (17)
Asymptotic Results for the Linear Stage of the Rayleigh—Taylor Instability (2001) (16)
A Godunov-type method in Lagrangian coordinates for computing linearly-perturbed planar-symmetric flows of gas dynamics (2004) (14)
Extension of Interface Coupling to General Lagrangian Systems (2006) (14)
A Relaxation Method for the Coupling of Systems of Conservation Laws (2008) (13)
On the linearization of systems of conservation laws for fluids at a material contact discontinuity (1999) (11)
On an equilibrium finite element method for plate bending problems (1980) (10)
Particle approximation of first order systems (1986) (10)
Analysis and asymptotics of a one-dimensional ion extraction model (1995) (10)
Approximate solution of the generalized Riemann problem and applications (1987) (9)
Mathematical and numerical modeling of two-phase flows (1991) (9)
The Child–Langmuir Asymptotics of the Vlasov–Poisson Equation for Cylindrically or Spherically Symmetric Diodes Part 2: Analysis of the Reduced Problem and Determination of the Child–Langmuir Current (1996) (9)
Vortex Methods for the Incompressible Euler and Navier-Stokes Equations (1988) (9)
Numerical modeling of axisymmetric electron beam devices using a coupled particle-finite element method (1991) (7)
Theory and Approximation of the Navier-Stokes Problem (1986) (7)
The stationary navier-stokes equations (1979) (7)
Homogeneous models with phase transition: coupling by finite volume methods (2005) (6)
Particle approximation of linear hyperbolic equations of the first order (1984) (6)
Numerical Coupling of Two-Phase Flows (2006) (6)
SOME REMARKS ON A STATIONARY VLASOV–POISSON SYSTEM WITH SOURCE TERM ARISING IN ION BEAM NEUTRALIZATION (2001) (5)
A Godunov-Type Method for Studying the Linearised Stability of a Flow. Application to the Richtmyer-Meshkov Instability (2001) (4)
Source Terms (2020) (4)
Incompressible finite element methods for the Navier-Stokes equations (1982) (4)
Sur la résolution numérique de l’équation $\frac{\partial u}{\partial t}+u\frac{\partial u}{\partial x}-\varepsilon \frac{\partial }{\partial x}(\left| \frac{\partial u}{\partial x}\right|\frac{\partial u}{\partial x})=0$ (1968) (3)
Efficient perturbation methods for Richtmyer-Meshkov and Rayleigh-Taylor instabilities: Weakly nonlinear stage and beyond (2003) (3)
A method of coupling non‐linear hyperbolic systems: examples in CFD and plasma physics (2005) (3)
MATHEMATICAL MODELS OF ION EXTRACTION AND PLASMA SHEATHS (1996) (3)
Construction of Godunov type schemes accurate at any Mach number (2013) (2)
Some remarks on the stationary Vlasov-Poisson system with source term (1999) (2)
Mathematical Foundation of the Stokes Problem (1986) (2)
New PIC codes on unstructured meshes applied to the simulation of a photocathode injector (1991) (1)
Nonlinear hyperbolic problems : proceedings of an advanced research workshop, held in St. Etienne, France, January 13-17, 1986 (1987) (1)
A Mathematical analysis of electric probe models (1996) (1)
Pseudo-viscosity methods and nonlinear hyperbolic equations (1971) (1)
Numerical Solution of the Stokes Problem in the Primitive Variables (1986) (1)
An Existence Result for a Stationary Vlasov–Poisson Model with Source Term (2003) (1)
Analyse asymptotique d'un modèle d'extraction d'ions (1993) (1)
Nonlinear Hyperbolic Systems in One Space Dimension (2020) (1)
Q 74 PDEs in connection with mechanics of deformable solids 35 D 30 Weak solutions to PDEs (2021) (0)
Incompressible Mixed Finite Element Methods for Solving the Stokes Problem (1986) (0)
Some remarks on the stationary (2007) (0)
Finite Er~ Methoi~ and Navier-stokes Equations (0)
Numerical solution of the stokes problem a classical method (1979) (0)
Gas Dynamics and Reacting Flows (2020) (0)
On some applications of the particle method (1985) (0)
An Introduction to Boundary Conditions (2020) (0)
Numerical simulation of the Time-domain 3D Maxwell Equations by a Finite Element Approximation of a Constrained formulation (1992) (0)
Boundary conditions for the Darwin model of approximation to Maxwell's equations (1990) (0)
Finite Volume Schemes for One-Dimensional Systems (2020) (0)
New PIC methods on unstructured meshes applied to the simulation of a photocathode injector (1990) (0)
The time-dependent navier-stokes equations (1979) (0)
MULTIFLUID IONIZATION MODELS (2002) (0)
A mixed finite element method for solving the stokes problem (1979) (0)
A Posteriori Error Estimates for the Stokes Problem, Siam Analysis of Locally Stabilised Mixed Nite Element Methods For (1997) (0)
Finite difference schemes for one-dimensional systems (1996) (0)
Singular perturbation problems for the Vlasov-Poisson equations. Applications to plasma physics (1998) (0)
K Grid Size Cg Iterations Flops 2 8 25 (2000) (0)
The Case of Multidimensional Systems (2020) (0)

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Pierre Arnaud Raviart's Academic­Influence.com Rankings

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Pierre Arnaud Raviart's Published Works

Published Works

Pierre Arnaud Raviart's AcademicInfluence.com Rankings