Zobrazeno 1 - 10
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pro vyhledávání: '"Maltese, David"'
Autor:
Maltese, David, Ogabi, Chokri
In this article, we study some anisotropic singular perturbations for a class of linear elliptic problems. A uniform estimates for conforming $Q_1$ finite element method are derived, and some other results of convergence and regularity for the contin
Externí odkaz:
http://arxiv.org/abs/2305.12781
Autor:
Eymard, Robert, Maltese, David
We prove the convergence of an incremental projection numerical scheme for the time-dependent incompressible Navier--Stokes equations, without any regularity assumption on the weak solution. The velocity and the pressure are discretised in conforming
Externí odkaz:
http://arxiv.org/abs/2302.06240
The present paper addresses the convergence of a first order in time incremental projection scheme for the time-dependent incompressible Navier-Stokes equations to a weak solution, without any assumption of existence or regularity assumptions on the
Externí odkaz:
http://arxiv.org/abs/2207.09695
We approximate the solution to some linear and degenerate quasi-linear problem involving a linear elliptic operator (like the semi-discrete in time implicit Euler approximation of Richards and Stefan equations) with measure right-hand side and hetero
Externí odkaz:
http://arxiv.org/abs/2205.07698
Autor:
Maltese, David, Ogabi, Chokri
In this article, we deal with some problems involving a class of singularly perturbed elliptic operator. We prove the asymptotic preserving of a general Galerkin method associated to a semilinear problem. We use a particular Galerkin approximation to
Externí odkaz:
http://arxiv.org/abs/2201.11977
Autor:
Maltese, David, Ogabi, Chokri
Publikováno v:
Applicable Analysis; Sep2024, Vol. 103 Issue 14, p2625-2646, 22p
We prove in this paper the convergence of the Marker and Cell (MAC) scheme for the discretization of the steady state compressible and isentropic Navier-Stokes equations on two or three-dimensional Cartesian grids. Existence of a solution to the sche
Externí odkaz:
http://arxiv.org/abs/1607.01968
Autor:
Maltese, David, Michalek, Martin, Mucha, Piotr B., Novotny, Antonin, Pokorny, Milan, Zatorska, Ewelina
We consider the compressible Navier-Stokes system with variable entropy. The pressure is a nonlinear function of the density and the entropy/potential temperature which, unlike in the Navier-Stokes-Fourier system, satisfies only the transport equatio
Externí odkaz:
http://arxiv.org/abs/1603.08965
We derive an a priori error estimate for the numerical solution obtained by time and space discretization by the finite volume/finite element method of the barotropic Navier--Stokes equations. The numerical solution on a convenient polyhedral domain
Externí odkaz:
http://arxiv.org/abs/1508.06432
Error estimates for a numerical approximation to the compressible barotropic Navier-Stokes equations
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 approximate solution of the barotropic Navier Stokes equations obtained by time and space discreti
Externí odkaz:
http://arxiv.org/abs/1504.02890