In this work, we consider an optimization problem described on a surface. The approach is illustrated on the problem of finding a closed curve whose arclength is as small as possible while the areaâ€¦ (More)

This paper is devoted to the derivation and the validation of a level set method for fluid-structure interaction problems with immersed surfaces. The test case of a pressurized membrane is used toâ€¦ (More)

where A is elliptic and B is monotone (not strictly). It is the case, for example, in porous medium, semiconductor equations, and so forth. In our application, we considered the injection moulding ofâ€¦ (More)

This paper is devoted to Eulerian models for incompressible fluid-structure systems. These models are primarily derived for computational purposes as they allow to simulate in a ratherâ€¦ (More)

Pseudo-monotonicity seems to be a good notion to deal with convergence in non-linear terms of partial differential equations. J.-L. Lions [16] used two different definitions of pseudo-monotonicityâ€¦ (More)

We describe in this paper two applications of Eulerian level set methods to fluid-structure problems arising in biophysics. The first one is concerned with three-dimensional equilibrium shapes ofâ€¦ (More)

We present and analyze a penalization method which extends the the method of [2] to the case of a rigid body moving freely in an incompressible fluid. The fluid-solid system is viewed as a singleâ€¦ (More)

In this work three branches of Immersed Boundary Methods (IBM) are described and validated for incompressible aerodynamics and fluid-structure interactions. These three approaches are: Cut Cellâ€¦ (More)