If Ω⊂ ℝn is a bounded domain, the existence of solutions of div u= f for f∈ L2 (Ω) with
vanishing mean value, is a basic result in the analysis of the Stokes equations. In particular …

We study a two dimensional collision problem for a rigid solid immersed in a cavity filled with
a perfect fluid. We are led to investigate the asymptotic behavior of the Dirichlet energy …

In this paper, we give new results about existence, uniqueness and regularity properties for
solutions of Laplace equation Δ u= h\rm in\, Ω where Ω is a cusp domain. We impose …

We consider the principal eigenvalue of generalised Robin boundary value problems on
non-smooth domains, where the zero order coefficient of the boundary operator is negative …

For a transmission problem in a truncated two-dimensional cylinder located beneath the
graph of a function u, the shape derivative of the Dirichlet energy (with respect to u) is shown …

In this paper we analyze the approximation by standard piecewise linear finite elements of a
nonhomogeneous Neumann problem in a cuspidal domain. Since the domain is not …

In this paper we analyze the approximation, by piecewise linear finite elements, of a Steklov
eigenvalue problem in a plane domain with an external cusp. This problem is not covered by …

Neumann domains of Laplacian eigenfunctions form a natural counterpart of nodal domains.
The restriction of an eigenfunction to one of its nodal domains is the first Dirichlet …

In a paper by R. Durán, A. Lombardi, and the authors (2007) the finite element method was
applied to a non-homogeneous Neumann problem on a cuspidal domain $\Omega\subset …

This work deals with numerical solution of option pricing Heston model. We propose a new
transformation of the independent variables to remove the mixed derivative. As a result, the …