In this paper, we propose an efficient numerical scheme for magnetohydrodynamics (MHD)
equations. This scheme is based on a second order backward difference formula for time …

In this paper we study a phase change problem for non-isothermal incompressible viscous
flows. The underlying continuum is modelled as a viscous Newtonian fluid where the …

In this article, we study theoretically and numerically the heat equation coupled with Darcy's
law by a nonlinear viscosity depending on the temperature. We establish existence of a …

Based on two-grid discretization, a new parallel finite element algorithm for the stationary
Navier–Stokes equations is proposed and analyzed. This algorithm first solves the Navier …

In this article, we study the time dependent Boussinesq (buoyancy) model with nonlinear
viscosity depending on the temperature. We propose and analyze first and second order …

In this paper, several two-grid finite element algorithms for solving parabolic integro-
differential equations (PIDEs) with nonlinear memory are presented. Analysis of these …

Based on two-grid finite element discretization and a recent subgrid-scale model, a two-level
subgrid stabilized Oseen iterative method for the convection dominated Navier–Stokes …

A new defect-correction method based on subgrid stabilization for the simulation of steady
incompressible Navier–Stokes equations with high Reynolds numbers is proposed and …

Based on two-grid discretizations, some parallel finite element variational multiscale
algorithms for the steady incompressible Navier–Stokes equations at high Reynolds …

In this work, an optimal error analysis of a three step two‐grid method for the equations of
motion arising in the 2D Oldroyd model of order one is discussed. The model, which can be …