In this work, the author gives a review of the state of the art on the computational strategies
developed for the analysis of inverse problems. Starting from the definition of the inverse …

In this paper we combine the method of fundamental solutions with various regularization
techniques to solve Cauchy problems of elliptic differential operators. The main idea is to …

The study deals with the heat and mass transfer process near the dynamic three-phase
liquid–gas–solid contact line. The evaporating sessile water droplets on a horizontal heated …

In this paper, the Cauchy problem of inhomogeneous Helmholtz equation is investigated.
This problem is ill-posed and the truncation method is used to solve this inverse problem …

In the paper a nonlinear inverse Cauchy problem of nonlinear elliptic type partial differential
equation in an arbitrary doubly-connected plane domain is solved using a novel meshless …

In this paper, the Cauchy problem of the modified Helmholtz equation (CPMHE) with
perturbed wave number is considered. In the sense of Hadamard, this problem is severely ill …

We are interested by an alternating method for an inverse Cauchy problem. Our main results
of this paper consists in exhibiting local error indicators, based on a posteriori analysis, with …

The Cauchy problem for the Helmholtz equation in an infinite “strip” is considered. The
Cauchy data are at the boundary x= 0 given in an approximate manner and the solution is …

This work deals with the Cauchy problem in two-dimensional linear elasticity. The equations
of the problem are discretized through a standard FEM approach and the resulting ill …

In this paper, we consider the Cauchy problem for the Helmholtz equation in a rectangle,
where the Cauchy data is given for y= 0 and boundary data are for x= 0 and x= π. The …