This paper makes a first attempt to use a new localized method of fundamental solutions
(LMFS) to accurately and stably solve the inverse Cauchy problems of two-dimensional …

This monograph is a valuable contribution to the highly topical and extremly productive field
of regularisation methods for inverse and ill-posed problems. The author is an internationally …

In this study, we introduce a radial basis function neural network (RBFNN) algorithm. The
proposed architecture is employed to solve the inverse Cauchy problems of the Laplace …

In this paper, regularization combined with a preconditioning strategy is used to solve the
illconditioned linear system obtained from the approximation of the inverse Cauchy problem …

In this paper, we are interested in solving an elliptic inverse Cauchy problem. As it is well
known this problem is one of highly ill posed problem in Hadamard's sense (Hadamard …

In this paper we propose a new method to stabilize nonsymmetric indefinite problems. The
idea is to solve a forward and an adjoint problem simultaneously using a suitable stabilized …

This paper proposes a semi‐analytical and local meshless collocation method, the localized
method of fundamental solutions (LMFS), to address three‐dimensional (3D) acoustic …

In this paper, the inverse Cauchy problem for Laplace equation defined in an arbitrary plane
domain is investigated by using the collocation Trefftz method (CTM) with a better …

In this paper, two relaxation algorithms on the Dirichlet Neumann boundary condition, for
solving the Cauchy problem governed to the Modified Helmholtz equation are presented …

In this paper, we are interested in the study of an inverse Cauchy problem governed by
Stokes equation. It consists in determining the fluid velocity and the flux over a part of the …