In the present contribution, we construct a virtual element (VE) discretization for the problem
of miscible displacement of one incompressible fluid by another, described by a time …

In this paper, we establish a reduced-order finite element (ROFE) method with very few
degrees of freedom for the incompressible miscible displacement problem. Firstly, we …

Two-grid algorithms based on two conservative and implicit finite element methods are
studied for two-dimensional nonlinear Schrödinger equation with wave operator. The …

A new two-grid finite element scheme is presented for two-dimensional nonlinear
Schrödinger equation. One Newton iteration is applied on the fine grid to linearize the …

This paper presents a reduced-order finite element (ROFE) method with seldom degrees of
freedom for the incompressible miscible displacement problem, where the proper …

A two‐grid finite element scheme is presented for nonlinear Schrödinger equation. H 1 H^ 1
superconvergence error estimates of finite element solutions based on L∞ L^ ∞ bound of …

In the conventional two-grid (TG) method, the nonlinear system on the fine grid is
transformed into a nonlinear subsystem on the coarse grid and a linear subsystem on the …

A two-grid finite element method is developed for solving space-fractional nonlinear
Schrödinger equations. The finite element solution in L∞-norm is proved bounded without …

A two‐grid finite element method with nonuniform L1 scheme is developed for solving the
time‐fractional nonlinear Schrödinger equation. The finite element solution in the L p L^ p …

In this paper, an efficient modified two-grid block-centered finite difference algorithm with
second-order backward difference formula is presented for coupled nonlinear reaction …