A weighted parameter identification PDE-constrained optimization for inverse image denoising problem

L Afraites, A Hadri, A Laghrib, M Nachaoui - The Visual Computer, 2022 - Springer
This paper treats the inverse denoising problem which aims to compute simultaneously the
clean image and the weighting parameter λ. The formulated denoising problem is posed …

[HTML][HTML] Regularized solution of the Cauchy problem in an unbounded domain

DA Juraev, A Shokri, D Marian - Symmetry, 2022 - mdpi.com
Symmetry | Free Full-Text | Regularized Solution of the Cauchy Problem in an Unbounded
Domain Next Article in Journal Study of Weak Solutions for Degenerate Parabolic Inequalities …

[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 …

An efficient DN alternating algorithm for solving an inverse problem for Helmholtz equation.

K Berdawood, A Nachaoui, R Saeed… - … Systems-Series S, 2022 - search.ebscohost.com
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 …

[PDF][PDF] Polynomial approximation of an inverse Cauchy problem for Helmholtz type equations

F Aboud, IT Jameel, AF Hasan… - Adv. Math …, 2022 - jomardpublishing.com
The objective of this paper is to solve numerically a Cauchy problem defined on a two-
dimensional domain occupied by a material satisfying the Helmholtz type equations and …

[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 …

[PDF][PDF] Shape optimization method for an inverse geometric source problem and stability at critical shape

L Afraites, C Masnaoui, M Nachaoui - Discrete Contin. Dyn. Syst …, 2022 - researchgate.net
This work deals with a geometric inverse source problem. It consists in recovering inclusion
in a fixed domain based on boundary measurements. The inverse problem is solved via a …

On the approximation of a Cauchy problem in a non-homogeneous medium

F Aboud, A Nachaoui, M Nachaoui - Journal of Physics …, 2021 - iopscience.iop.org
This paper deals with an inverse Cauchy problem governed by an elliptical equation defined
in non-homogeneous domain. We propose two approaches based on alternating algorithm …

An accelerated alternating iterative algorithm for data completion problems connected with Helmholtz equation

KA Berdawood, A Nachaoui, M Nachaoui - Statistics, Optimization & …, 2023 - iapress.org
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 …

[HTML][HTML] On the approximate solution of the Cauchy problem in a multidimensional unbounded domain

DA Juraev, A Shokri, D Marian - Fractal and Fractional, 2022 - mdpi.com
In this paper, the Carleman matrix is constructed, and based on it we found explicitly a
regularized solution of the Cauchy problem for the matrix factorization of the Helmholtz …