Eddy current processes consist in generating currents in electrically conducting material by
means of time dependent magnetic fields. The term 'eddy'originates from the fact that these …

We introduce a new approach based on the coupling of the method of quasi-reversibility and
a simple level set method in order to solve the inverse obstacle problem with Dirichlet …

Bernoulli free boundary problems (BFBP) govern many real applications, from chemistry to
fluid dynamics. BFBP are overdetermined differential models in which the boundary of the …

The Bernoulli problem is rephrased into a shape optimization problem. In particular, the cost
function, which turns out to be a constitutive law gap functional, is borrowed from inverse …

The numerical solution of the free boundary Bernoulli problem is addressed. An iterative
method based on a level-set formulation and boundary element method is proposed. Issues …

This paper is devoted to a numerical method for the approximation of a class of free
boundary problems of Bernoulli's type, reformulated as optimal shape design problems with …

We consider an overdetermined problem of Serrin-type with respect to an operator in
divergence form with piecewise constant coefficients. We give sufficient condition for unique …

We propose a new shape optimization formulation of the Bernoulli problem by tracking the
Neumann data. The associated state problem is an equivalent formulation of the Bernoulli …

A Bernoulli free boundary problem with geometrical constraints is studied. The domain Ω is
constrained to lie in the half space determined by x1≥ 0 and its boundary to contain a …

The aim of this article is to develop improved trial methods for the solution of a generalized
exterior Bernoulli free boundary problem. At the free boundary, we prescribe the Neumann …