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 …

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 …

This report presents a new artificial compression method for incompressible, viscous flows.
The method has second order consistency error and is unconditionally, long time, energy …

This paper presents two modular grad–div algorithms for calculating solutions to the Navier–
Stokes equations (NSE). These algorithms add to an NSE code a minimally intrusive module …

In this paper, we study an efficient and modular grad-div stabilization algorithm for the 2D/3D
nonstationary incompressible magnetohydrodynamic equations. The considered algorithm …

In this paper, in order to penalize for lack of divergence-free solution, we propose a sparse
grad-div stabilized algorithm for the incompressible magnetohydrodynamics equations …

This paper presents a grad‐div stabilization with the Jacobi iteration to the thermally coupled
incompressible magnetohydrodynamic system, which avoids breakdown of solver and …

We present a structure-preserving scheme based on a recently-proposed mixed formulation
for incompressible hyperelasticity formulated in principal stretches. Although there exist …

A second-order accurate modular algorithm is presented for a standard BDF2 code for the
Navier–Stokes equations (NSE). The algorithm exhibits resistance to solver breakdown and …