Publisher Summary This chapter focuses on finite volume methods. The finite volume
method is a discretization method that is well suited for the numerical simulation of various …

Our interest in the study and computation of electromagnetic fields started during the 1990s.
For Franck Assous, it originated from the need to compute precisely the motion of charged …

We tackle the issue of the inviscid limit of the incompressible Navier–Stokes equations when
the Navier slip-with-friction conditions are prescribed on impermeable boundaries. We justify …

The aim of this article is to solve second-order elliptic problems in an original physical
domain using a fictitious domain method with a spread interface approach. The main idea of …

In this paper, the main objective is to generalize to the Navier–Stokes–Korteweg (with
density dependent viscosities satisfying the BD relation) and Euler–Korteweg systems a …

We propose an original scheme for the time discretization of a triphasic Cahn–
Hilliard/Navier–Stokes model. This scheme allows an uncoupled resolution of the discrete …

In this paper we analyse the interaction of an incompressible Newtonian fluid with a linearly
elastic Koiter shell whosemotion is restricted to transverse displacements. The middle …

Let A:D(A)→X be the generator of an analytic semigroup and B:V→D(A^*)' a relatively
bounded control operator. In this paper, we consider the stabilization of the system …

We present finite volume schemes for Stokes and Navier‐Stokes equations. These schemes
are based on the mixed finite volume introduced in (Droniou and Eymard, Numer Math 105 …

Summary Combiningthe Navier‐Stokes systems with Neumann (or natural) boundary
condition to characterize a fluid flow is frequent. The popular projection (or pressure …