[PDF][PDF] REGULARIZED AND PRECONDITIONED CONJUGATE GRADIENT LIKE-METHODS METHODS FOR POLYNOMIAL APPROXIMATION OF AN INVERSE …
SM Rasheed, A Nachaoui, MF Hama… - Advanced …, 2021 - jomardpublishing.com
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 …
illconditioned linear system obtained from the approximation of the inverse Cauchy problem …
An efficient DN alternating algorithm for solving an inverse problem for Helmholtz equation.
Data completion known as Cauchy problem is one most investigated inverse problems. In
this work we consider a Cauchy problem associated with Helmholtz equation. Our …
this work we consider a Cauchy problem associated with Helmholtz equation. Our …
[PDF][PDF] An alternating procedure with dynamic relaxation for Cauchy problems governed by the modified Helmholtz equation
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 …
solving the Cauchy problem governed to the Modified Helmholtz equation are presented …
Mathematical analysis and simulation of fixed point formulation of Cauchy problem in linear elasticity
In this work, an inverse problem in linear elasticity is considered, it is about reconstructing
the unknown boundary conditions on a part of the boundary based on the other boundaries …
the unknown boundary conditions on a part of the boundary based on the other boundaries …
[PDF][PDF] An analytical solution for the nonlinear inverse cauchy problem
A Nachaoui, HW Salih - Advanced Mathematical Models & …, 2021 - jomardpublishing.com
This paper discusses the recovering of both Dirichlet and Neumann data on some part of the
domain boundary, starting from the knowledge of these data on another part of the boundary …
domain boundary, starting from the knowledge of these data on another part of the boundary …
Adaptive mesh techniques based on a posteriori error estimates for an inverse Cauchy problem
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 …
of this paper consists in exhibiting local error indicators, based on a posteriori analysis, with …
An accelerated alternating iterative algorithm for data completion problems connected with Helmholtz equation
This paper deals with an inverse problem governed by the Helmholtz equation. It consists in
recovering lackingdata on a part of the boundary based on the Cauchy data on the other …
recovering lackingdata on a part of the boundary based on the Cauchy data on the other …
An effective relaxed alternating procedure for cauchy problem connected with helmholtz equation
KA Berdawood, A Nachaoui… - … Methods for Partial …, 2023 - Wiley Online Library
This paper is concerned with the Cauchy problem for the Helmholtz equation. Recently,
some new works asked the convergence of the well‐known alternating iterative method. Our …
some new works asked the convergence of the well‐known alternating iterative method. Our …
Convergence study and regularizing property of a modified Robin–Robin method for the Cauchy problem in linear elasticity
In this paper, we are interested in solving a Cauchy inverse problem in linear elasticity. For
this, we propose a new method based on Robin conditions on the inaccessible boundary …
this, we propose a new method based on Robin conditions on the inaccessible boundary …
On a fixed point study of an inverse problem governed by stokes equation
This work deals with domain decomposition like methods for solving an inverse Cauchy
problem governed by Stokes equation. As it is well known, this problem is one of highly ill …
problem governed by Stokes equation. As it is well known, this problem is one of highly ill …