Search Results - "GALLOUET, 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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W01,1 solutions in some borderline cases of Calderon–Zygmund theory by Boccardo, Lucio, Gallouet, Thierry

“…In this paper we study the existence of W01,1(Ω) distributional solutions of Dirichlet problems whose simplest example is{−div(|∇u|p−2∇u)=f(x),in Ω;u=0,on ∂Ω…”
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Compactness of minimizing sequences by Boccardo, Lucio, Gallouet, Thierry

“…We consider a minimization problem of a functional in the space W01,p(Ω), where 1<p<+∞ and Ω is a bounded open set of RN. We prove the compactness, in the…”
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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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Combined triangular FV-triangular FE method for nonlinear convection-diffusion problems by Bejček, M., Feistauer, M., Gallouet, T., Hájek, J., Herbin, R.

“…The paper is concerned with the analysis of the combined finite element ‐ finite volume method for the solution of nonstationary nonlinear convection‐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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W 0 1 , 1 solutions in some borderline cases of Calderon–Zygmund theory by Boccardo, Lucio, Gallouet, Thierry

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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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Solutions of nonlinear parabolic equations without growth restrictions on the data by Lucio Boccardo, Thierry Gallouet, Juan Luis Vazquez

“…The purpose of this paper is to prove the existence of solutions for certain types of nonlinear parabolic partial differential equations posed in the whole…”
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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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