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

We study a second-order two-grid scheme fully discrete in time and space for solving the
Navier–Stokes equations. The two-grid strategy consists in discretizing, in the first step, the …

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 …

In this paper, a two-grid scheme for a time-dependent closed-loop geothermal system is
proposed. The scheme solves a coupled partial differential equation model for this system …

We carry out a fully discrete two-grid finite element approximation for the equations of motion
arising in the flow of Oldroyd fluids. The non-linear parabolic integro-differential equation is …

We analyze here, a two-grid finite element method for the two dimensional time-dependent
incompressible Navier-Stokes equations with non-smooth initial data. It involves solving the …

In this paper, we study a two level method based on Newton's iteration for the nonlinear
system arising from the Galerkin finite element approximation to the equations of motion …

In this paper, an error analysis of a three steps two level Galerkin finite element method for
the two dimensional transient Navier–Stokes equations is discussed. First of all, the problem …

We consider two-grid mixed-finite element schemes for the spatial discretization of the
incompressible Navier–Stokes equations. A standard mixed-finite element method is …

Based on two-grid discretizations, two fully discrete finite element algorithms for semilinear
parabolic integro-differential equations with positive memory are proposed. With the …