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Convergence of finite volume schemes . . .
"... We consider nonstrictly hyperbolic systems of conservation laws in triangular form, which turn up in applications like threephase flows in porous media flow. We device finite volume schemes of Godunov type for these systems that exploit the triangular structure. We prove that the finite volume sch ..."
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We consider nonstrictly hyperbolic systems of conservation laws in triangular form, which turn up in applications like threephase flows in porous media flow. We device finite volume schemes of Godunov type for these systems that exploit the triangular structure. We prove that the finite volume
Finite volume schemes on Lorentzian manifolds
 Commun. Math. Sci
, 2008
"... Abstract. We investigate the numerical approximation of (discontinuous) entropy solutions to nonlinear hyperbolic conservation laws posed on a Lorentzian manifold. Our main result establishes the convergence of monotone and firstorder finite volume schemes for a large class of (space and time) tria ..."
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Cited by 14 (6 self)
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Abstract. We investigate the numerical approximation of (discontinuous) entropy solutions to nonlinear hyperbolic conservation laws posed on a Lorentzian manifold. Our main result establishes the convergence of monotone and firstorder finite volume schemes for a large class of (space and time
Finite Volume schemes
"... weather forecast model) … • How to make semiimplicit semiLagrangian models massconservative: ..."
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weather forecast model) … • How to make semiimplicit semiLagrangian models massconservative:
Finite Volume Scheme for Stokes Problem.
, 1997
"... For Stokes problem, we show how to obtain finite volume schemes from a Mixed finite element method with a well chosen numerical integration diagonalising the mass matrix. The analysis of the corresponding finite volume scheme is directly deduced from general results of mixed finite element theory. I ..."
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For Stokes problem, we show how to obtain finite volume schemes from a Mixed finite element method with a well chosen numerical integration diagonalising the mass matrix. The analysis of the corresponding finite volume scheme is directly deduced from general results of mixed finite element theory
Analysis tools for finite volume schemes
 Acta Mathematica Universitatis Comenianae
"... Abstract. This paper is devoted to a review of the analysis tools which have been developed for the the mathematical study of cell centred finite volume schemes in the past years. We first recall the general principle of the method and give some simple examples. We then explain how the analysis is p ..."
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Cited by 4 (2 self)
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Abstract. This paper is devoted to a review of the analysis tools which have been developed for the the mathematical study of cell centred finite volume schemes in the past years. We first recall the general principle of the method and give some simple examples. We then explain how the analysis
Linear Foundations of Finite Volume Schemes Preliminary version
, 2010
"... This monograph is devoted to the numerical analysis of Finite Volume schemes (FV), as opposed to Finite Element Methods (FEM) or Finite Differences (FD). It is based on a M2 course given at the University of Paris VI, Lab. JLL. The discussion is restricted mainly to linear equations. A convenient mo ..."
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This monograph is devoted to the numerical analysis of Finite Volume schemes (FV), as opposed to Finite Element Methods (FEM) or Finite Differences (FD). It is based on a M2 course given at the University of Paris VI, Lab. JLL. The discussion is restricted mainly to linear equations. A convenient
Finite volume schemes for locally constrained conservation laws
, 2009
"... This paper is devoted to the numerical analysis of the road traffic model proposed by Colombo and Goatin in [CG07]. The model involves a standard conservation law supplemented by a local unilateral constraint on the flux at the point x = 0 (modelling a road light, a toll gate, etc.). We first show t ..."
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Cited by 29 (18 self)
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∞ framework. Then, starting from a general monotone finite volume scheme for the nonconstrained conservation law, we produce a simple scheme for the constrained problem and show its convergence. The proof uses a new notion of entropy process
Adaptive Finite Volume Scheme for Elliptic Problems.
, 1997
"... A new technique for the implementation of cellcentered finite volume schemes is proposed. It is based on a recently found equivalence between these schemes and the nonconforming CrouzeixRaviart finite element approximation. Though the implementation somewhat increases the number of unknowns, it b ..."
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A new technique for the implementation of cellcentered finite volume schemes is proposed. It is based on a recently found equivalence between these schemes and the nonconforming CrouzeixRaviart finite element approximation. Though the implementation somewhat increases the number of unknowns
Editors: Will be set by the publisher FINITE VOLUME SCHEMES FOR VLASOV ∗
, 2011
"... Abstract. We present finite volumes schemes for the numerical approximation of the onedimensional VlasovPoisson equation (FOV CEMRACS 2011 project). Stability analysis is performed for the linear advection and links with semiLagrangian schemes are made. Finally, numerical results enable to compar ..."
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Abstract. We present finite volumes schemes for the numerical approximation of the onedimensional VlasovPoisson equation (FOV CEMRACS 2011 project). Stability analysis is performed for the linear advection and links with semiLagrangian schemes are made. Finally, numerical results enable
Results 1  10
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1,088,393