Incompressible flow problems appear in many models of physical processes and
applications. Their numerical simulation requires in particular a spatial discretization. Finite …

The kinetic energy of a flow is proportional to the square of the L 2 (Ω) norm of the velocity.
Given a sufficient regular velocity field and a velocity finite element space with polynomials …

This paper studies inf-sup stable finite element discretizations of the evolutionary Navier–
Stokes equations with a grad-div type stabilization. The analysis covers both the case in …

The approximation of the time-dependent Oseen problem using inf-sup stable mixed finite
elements in a Galerkin method with grad-div stabilization is studied. The main goal is to …

In this paper we analyze a finite element method applied to a continuous downscaling data
assimilation algorithm for the numerical approximation of the two-and three-dimensional …

The error analysis of a proper orthogonal decomposition (POD) data assimilation (DA)
scheme for the Navier–Stokes equations is carried out. A grad–div stabilization term is …

In this paper we consider fully discrete approximations with inf-sup stable mixed finite
element methods in space to approximate the Navier-Stokes equations. A continuous …

This paper studies fully discrete approximations to the evolutionary Navier–Stokes
equations by means of inf-sup stable H^ 1 H 1-conforming mixed finite elements with a grad …

We consider conforming finite element approximations for the time-dependent Oberbeck–
Boussinesq model with inf-sup stable pairs for velocity and pressure and use a stabilization …

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 …