We construct two variable-step linearly implicit Runge–Kutta methods of orders 3 and 4 for
the numerical integration of the semidiscrete equations arising after the spatial discretization …

A postprocess of the standard Galerkin method for the discretization of dissipative equations
is presented. The postprocessed Galerkin method uses the same approximate inertial …

Based on the nonlinear static stability analysis, this paper establishes the governing
equations of the nonlinear dynamic stability of a spherical shell panel of carbon fiber …

In a recent paper we have introduced a postprocessing procedure for the Galerkin method
for dissipative evolution partial differential equations with periodic boundary conditions. The …

A postprocessing technique, developed earlier for spectral methods, is extended here to
Galerkin finite-element methods for dissipative evolution partial differential equations. The …

A postprocessing technique for mixed finite-element methods for the incompressible Navier--
Stokes equations is studied. The technique was earlier developed for spectral and standard …

A two-grid method for solving the Cahn-Hilliard equation is proposed in this paper. This two-
grid method consists of two steps. First, solve the Cahn-Hilliard equation with an implicit …

We present a procedure to enhance the accuracy of spectral element methods for the
evolutionary Navier--Stokes equations. The approximations to the velocity and the pressure …

We revisit the postprocessing algorithm and give a justification from a classical truncation
analysis point of view. We assume a perturbation expansion for the high frequency mode …

A postprocessing technique for mixed finite element methods for the Cahn–Hilliard equation
is developed and analyzed. Once the mixed finite element approximations have been …