We study the convergence of a Finite Volume scheme for the linear advection equation with a Lipschitz divergence-free speed in $\R^d$. We prove a $h^{1/2}$-error estimate in the $L^\infty(0,t;L^1)$-norm for $BV$ data. This result was expected from numerical experiments and is optimal
When applied to the linear advection problem in dimension two, the upwind finite volume method is a...
We consider a convection-diffusion-reaction problem, and we analyze a stabilized mixed finite-volume...
We develop here special technique for evaluating residual in finite volume schemes for nonlinear sca...
We study the convergence of a Finite Volume scheme for the linear advection equation with a Lipschit...
AbstractIn this paper we estimate the error of upwind first order finite volume schemes applied to s...
International audienceWe study the finite volume approximation of strong solutions to nonlinear syst...
We study the implicit upwind finite volume scheme for numerically approximating the advection-diffus...
This paper studies finite volume schemes for scalar hyperbolic conservation laws on evolving hypersu...
International audienceThe cell-centered finite volume approximation of the Laplace equation in dimen...
In this paper, we study some finite volume schemes for the nonlinear hyperbolic equation ${u_t}(x,t...
We study the implicit upwind finite volume scheme for numerically approximating the advection–diffus...
28 pagesInternational audienceThis paper is devoted to the convergence analysis of the upwind finite...
This paper investigates the supra-convergence phenomenon that one can observe in the upwind finite ...
In this paper we study the convergence rate of a finite volume approximation of the compressible Nav...
When applied to the linear advection problem in dimension two, the upwind finite volume method is a...
We consider a convection-diffusion-reaction problem, and we analyze a stabilized mixed finite-volume...
We develop here special technique for evaluating residual in finite volume schemes for nonlinear sca...
We study the convergence of a Finite Volume scheme for the linear advection equation with a Lipschit...
AbstractIn this paper we estimate the error of upwind first order finite volume schemes applied to s...
International audienceWe study the finite volume approximation of strong solutions to nonlinear syst...
We study the implicit upwind finite volume scheme for numerically approximating the advection-diffus...
This paper studies finite volume schemes for scalar hyperbolic conservation laws on evolving hypersu...
International audienceThe cell-centered finite volume approximation of the Laplace equation in dimen...
In this paper, we study some finite volume schemes for the nonlinear hyperbolic equation ${u_t}(x,t...
We study the implicit upwind finite volume scheme for numerically approximating the advection–diffus...
28 pagesInternational audienceThis paper is devoted to the convergence analysis of the upwind finite...
This paper investigates the supra-convergence phenomenon that one can observe in the upwind finite ...
In this paper we study the convergence rate of a finite volume approximation of the compressible Nav...
When applied to the linear advection problem in dimension two, the upwind finite volume method is a...
We consider a convection-diffusion-reaction problem, and we analyze a stabilized mixed finite-volume...
We develop here special technique for evaluating residual in finite volume schemes for nonlinear sca...
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