We consider and combine two methods to solve the inverse problem of locating dipolar
sources in a restricted domain from measurements of the Cauchy data on a part of the …

This paper presents a proposal for an Artificial Neural Network (ANN)-based architecture for
completion and prediction of data retrieved by underwater sensors. Due to the specific …

A Cauchy problem for general elliptic second-order linear partial differential equations in
which the Dirichlet data in H 1/2 (Γ1 U Γ3) is assumed available on a larger part of the …

In this paper, we consider a Cauchy problem of recovering both missing value and flux on
inaccessible boundary from Dirichlet and Neumann data measured on the remaining …

Considered in this paper is a Cauchy problem governed by an elliptic partial differential
equation. In the Cauchy problem, one wants to recover the unknown Neumann and Dirichlet …

In this paper, we propose a new regularization method based on a finite-dimensional
subspace generated from fundamental solutions for solving a Cauchy problem of Laplace's …

Different numerical methods have been proposed in the literature for solving the Cauchy
problem for linear elliptic equations modelling different physical phenomena (Laplace …

The purpose of this paper is the study and the resolution of the inverse problem for the
Laplace equation, including the case of data completion problem where it is to cover the …

We consider the identification problem of the conductivity coefficient for an elliptic operator
using an incomplete over specified measures on the surface. Our purpose is to introduce an …

This paper focuses on the data completion problem, which is well known to be an ill-posed
inverse problem. We propose a dual regularization strategy without regularization …