In this paper, we consider a fully-discrete approximation of an abstract evolution equation
deploying a non-conforming spatial approximation and finite differences in time (Rothe …

A full-discrete two-grid discontinuous Galerkin approximation for nonlinear parabolic
problems is proposed. The L 2-norm error analysis of the two-grid method is carried out. The …

A two-grid algorithm for discontinuous Galerkin approximations to nonlinear Sobolev
equations is proposed. H 1 norm error estimate of the two-grid method for the nonlinear …

A discontinuous Galerkin approximation for the space variables with the backward Euler
time discretisation for a kind of parabolic problems with the nonlinear diffusion, convection …

This work presents novel finite element approaches for solving a parabolic partial differential
equation with discontinuous coefficients and low regularity solutions in a bounded convex …

Discontinuous Galerkin (DG) approximations for non-linear parabolic problems are
investigated. To linearize the discretized equations, we use a two-grid method involving a …

An incompressible miscible displacement problem in porous media is studied. A two‐grid
algorithm based on an interior penalty discontinuous Galerkin method is proposed. With this …

In this paper, an Interior Penalty Discontinuous Galerkin (IPDG) finite element method is
analyzed for approximating quasilinear parabolic equations. The equations can be …

An incompressible miscible displacement problem is investigated. A two-grid algorithm of a
full-discretized combined mixed finite element and discontinuous Galerkin approximation to …

Abstract To simulate incompressible Navier–Stokes equation, a temporal splitting scheme in
time and high-order symmetric interior penalty Galerkin (SIPG) method in space …