In this paper we develop a numerical scheme for approximating a d-dimensional chemotaxis-
Navier–Stokes system, d= 2, 3, modeling cellular swimming in incompressible fluids. This …

This work is devoted to the theoretical and numerical analysis of a two-species chemotaxis-
Navier-Stokes system with Lotka-Volterra competitive kinetics in a bounded domain of R d …

In this article, an operator‐splitting (or a fractional‐step) finite element method is proposed
for the numerical solution of the time‐dependent natural convection problem. We first …

This paper focuses on a fractional-step finite element method for the
magnetohydrodynamics problems in three-dimensional bounded domains. It is shown that …

We study the numerical approximation of nematic liquid crystal flows governed by a Ericksen–
Leslie problem. This problem couples the incompressible Navier–Stokes dynamic with a …

In this paper we develop the numerical analysis for a non-isothermal diffuse-interface model,
in dimension N= 2, 3, that describes the movement of a mixture of two incompressible …

This paper is devoted to the numerical analysis of a first order fractional-step time-scheme
(via decomposition of the viscosity) and “inf-sup” stable finite-element spatial approximations …

In this article, we mainly design a two-step decoupled finite element algorithm for a
nonlinear fluid-fluid interaction model, which is studied in [13]. The bounded domain that we …

A first-order linear fully discrete scheme is studied for the incompressible time-dependent
Navier–Stokes equations in three-dimensional domains. This scheme is based on an …

This work is devoted to the theoretical and numerical analysis of a two-species chemotaxis-
Navier-Stokes system with Lotka-Volterra competitive kinetics in a bounded domain of Rd …