Search Results - "Gallouët, Thierry"

Convergence of a multidimensional Glimm-like scheme for the transport of fronts by Gallouët, Thierry, Hurisse, Olivier

“…This paper is devoted to the numerical analysis of a numerical scheme for the simulation of front advection. The scheme has been recently proposed and it is…”
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A random choice scheme for scalar advection by Gallouët, Thierry, Hurisse, Olivier, Kokh, Samuel

“…Summary This paper is dedicated to a numerical method based on a random choice as proposed in Glimm's scheme. It is applied to the problem of advection of a…”
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Error estimates for the implicit MAC scheme for the compressible Navier–Stokes equations by Gallouët, Thierry, Maltese, David, Novotny, Antonin

“…We prove existence of a solution to the implicit MAC scheme for the compressible Navier–Stokes equations. We derive error estimates for this scheme on two and…”
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W_0^{1,1} SOLUTIONS IN SOME BORDERLINE CASES OF CALDERON-ZYGMUND THEORY by Boccardo, Lucio, Gallouët, Thierry

“…In this paper we study the existence of W 1,1 0 (Ω) dis-tributional solutions of Dirichlet problems whose simplest example is −div |∇u| p−2 ∇u = f (x), in Ω; u…”
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Error estimates for a numerical approximation to the compressible barotropic Navier–Stokes equations by Gallouët, Thierry, Herbin, Raphaèle, Maltese, David, Novotny, Antonin

“…We present here a general method based on the investigation of the relative energy of the system, that provides an unconditional error estimate for the…”
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A Unified Analysis of Elliptic Problems with Various Boundary Conditions and Their Approximation by Droniou, Jérôme, Eymard, Robert, Gallouët, Thierry, Herbin, Raphaèle

“…We design an abstract setting for the approximation in Banach spaces of operators acting in duality. A typical example are the gradient and divergence…”
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RTk mixed finite elements for some nonlinear problems by Eymard, Robert, Gallouët, Thierry, Herbin, Raphaèle

“…We show that the discrete operators and spaces of gradient discretizations can be designed so that the corresponding gradient scheme for a linear diffusion…”
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A model for conductive faults with non-matching grids by Tunc, Xavier, Faille, Isabelle, Gallouët, Thierry, Cacas, Marie Christine, Havé, Pascal

“…In this paper, we are interested in modeling single-phase flow in a porous medium with known faults seen as interfaces. We mainly focus on how to handle…”
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On the time continuity of entropy solutions by Cancès, Clément, Gallouët, Thierry

“…We show that any entropy solution u of a convection diffusion equation in Ω × (0, T ) belongs to . The proof does not use the uniqueness of the solution…”
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An extension of the MAC scheme to locally refined meshes: convergence analysis for the full tensor time-dependent Navier–Stokes equations by Chénier, Eric, Eymard, Robert, Gallouët, Thierry, Herbin, Raphaèle

“…A variational formulation of the standard marker-and-cell scheme for the approximation of the Navier–Stokes problem yields an extension of the scheme to…”
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H-Convergence and Numerical Schemes for Elliptic Problems by Eymard, Robert, Gallouët, Thierry

“…We study the convergence of two coupled numerical schemes, which are a discretization of a so-called elliptic-hyperbolic system. Only weak convergence…”
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A sequel to a rough Godunov scheme: application to real gases by Buffard, Thierry, Gallouët, Thierry, Hérard, Jean-Marc

“…We present here an approximate Riemann solver to compute Euler equations using real gas state laws. The scheme is based on an earlier proposition, called…”
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Analytical and Numerical Study of a Model of Erosion and Sedimentation by Eymard, Robert, Gallouët, Thierry

“…We consider the following problem, arising within a geological model of sedimentationerosion: For a given vector field g and a given nonnegative function F…”
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Convergence of a multidimensional Glimm-like scheme for the transport of fronts by Gallouët, Thierry, Hurisse, Olivier

“…This paper is devoted to the numerical analysis of a numerical scheme dedicated to the simulation of front advection (see…”
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A Partial Differential Inequality in Geological Models by Robert EYMARD Thierry GALLOUET

“…Sedimentation and erosion processes in sedimentary basins can be modeled by a parabolic equation with a limiter on the fluxes and a constraint on the time…”
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A Finite Volume Scheme for a Noncoercive Elliptic Equation with Measure Data by Droniou, Jérôme, Gallouët, Thierry, Herbin, Raphaèle

“…We show here the convergence of the finite volume approximate solutions of a convection-diffusion equation to a weak solution, without the usual coercitivity…”
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Existence and nonexistence of solutions for some nonlinear elliptic equations by Boccardo, Lucio, GallouËt, Thierry, Orsina, Luigi

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Error Estimates on the Approximate Finite Volume Solution of Convection Diffusion Equations with General Boundary Conditions by Gallouet, Thierry, Herbin, Raphaele, Vignal, Marie Helene

“…We study here the convergence of a finite volume scheme for a diffusion convection equation on an open bounded set of Rd(d=2 or 3) for which we consider…”
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On an Approximate Godunov Scheme by MASELLA, JEAN-MARIE, FAILLE, ISABELLE, GALLOUET, THIERRY

“…We are interested in the numerical resolution of hyperbolic systems of conservation laws which do not allow any analytical calculation and for which it is…”
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Finite volume schemes and Lax–Wendroff consistency by Eymard, Robert, Gallouët, Thierry, Herbin, Raphaele, Latché, Jean-Claude

“…We present a (partial) historical summary of the mathematical analysis of finite difference and finite volume methods, paying special attention to the…”
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