Buscar
Mostrando ítems 1-9 de 9
Artículo
Conditional stability and convergence of a fully discrete scheme for three-dimensional Navier–Stokes equations with mass diffusion
(Society for Industrial and Applied Mathematics, 2008)
We construct a fully discrete numerical scheme for three-dimensional incompressible fluids with mass diffusion (in density-velocity-pressure formulation), also called the Kazhikhov–Smagulov model. We will prove conditional ...
Artículo
On the stability of approximations for the Stokes problem using different finite element spaces for each component of the velocity
(Elsevier, 2016-01)
This paper studies the stability of velocity-pressure mixed approximations of the Stokes problem when different finite element (FE) spaces for each component of the velocity field are considered. We consider some new ...
Artículo
Finite element discretization of the Stokes and Navier-Stokes equations with boundary conditions on the pressure
(Society for Industrial and Applied Mathematics, 2015)
We consider the Stokes and Navier–Stokes equations with boundary conditions of Dirichlet type on the velocity on one part of the boundary and involving the pressure on the rest of the boundary. We write the variational ...
Artículo
A Bochev-Dohrmann-Gunzburger stabilization method for the primitive equations of the ocean
(Elsevier, 2013-04)
We introduce a low-order stabilized discretization of the Primitive Equations of the Ocean, with a highly reduced computational complexity. We prove stability through a specific inf-sup condition, and weak convergence to ...
Artículo
Mortar finite element discretization of a model coupling Darcy and Stokes equations
(EDP Sciences, 2008)
As a first draft of a model for a river flowing on a homogeneous porous ground, we consider a system where the Darcy and Stokes equations are coupled via appropriate matching conditions on the interface. We propose a ...
Artículo
Numerical approximation of a one-dimensional elliptic optimal design problem
(Society for Industrial and Applied Mathematics, 2011)
We address the numerical approximation by finite-element methods of an optimal design problem for a two phase material in one space dimension. This problem, in the continuous setting, due to high frequency oscillations, ...
Artículo
A linear mixed finite element scheme for a nematic Ericksen-Leslie liquid crystal model
(Centre National de la Recherche Scientifique, 2013-09)
In this work we study a fully discrete mixed scheme, based on continuous finite elements in space and a linear semi-implicit first-order integration in time, approximating an Ericksen–Leslie nematic liquid crystal model ...
Artículo
An efficient two-dimensional Vortex method with long time accuracy
(Society for Industrial and Applied Mathematics, 1996-08)
This paper deals with efficient techniques for the numerical solution of two-dimensional free-space incompressible Euler equations. We develop an algorithm for fast computation of velocity in a vortex method based upon ...
Artículo
Superconvergence in velocity and pressure for the 3D time-dependent Navier-Stokes equations
(Sociedad Española de Matemática Aplicada, 2012-01)
This work is devoted to the superconvergence in space approximation of a fully discrete scheme for the incompressible time-dependent Navier-Stokes Equations in three-dimensional domains. We discrete by Inf-Sup-stable Finite ...