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 report presents a series of implicit–explicit (IMEX) variable stepsize algorithms for the
incompressible Navier–Stokes equations (NSE). Here, IMEX means the nonlinear term is …

This report presents adaptive artificial compression methods in which the time-step and
artificial compression parameter ε are independently adapted. The resulting algorithms are …

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 aim to present two algorithms for the non-stationary Stokes/Darcy model. The first one is
the standard grad–div stabilization scheme. The other one is a modular grad–div based on …

In this article, we consider a phase field model with different densities and viscosities for the
coupled two-phase porous media flow and two-phase free flow, as well as the …

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 …

A stabilized mixed finite element method is proposed for solving the time-harmonic
Maxwell's equations, with the divergence constraint imposed by the multiplier in a weak …