A Preconditioned Krylov Subspace Iterative Methods for Inverse Source Problem by Virtue of a Regularizing LM-DRBEM

A El Madkouri, A Ellabib - International Journal of Applied and …, 2020 - Springer
In this paper, we investigate an effectual methodology to solve the problem of identifying the
source term standing on a combined discontinuous dual reciprocity boundary element …

[引用][C] SOURCE TERM IDENTIFICATION WITH DISCONTINUOUS DUAL RECIPROCITY APPROXIMATION AND QUASI-NEWTON METHOD FROM BOUNDARY …

EM Abdessamad, E Abdellatif - Journal of Computational …, 2021 - search.ebscohost.com
This paper deals with discontinuous dual reciprocity boundary element method for solving
an inverse source problem. The aim of this work is to determine the source term in elliptic …

The inverse source problem for the variable coefficients convection-diffusion equation

A Rap, L Elliott, DB Ingham, D Lesnic… - Inverse Problems in …, 2007 - Taylor & Francis
This article is concerned with the numerical solution of an inverse source problem
associated with the variable coefficients convection-diffusion equation. The Dual Reciprocity …

A dual reciprocity boundary element method for the regularized numerical solution of the inverse source problem associated to the Poisson equation

A Farcas, L Elliott, DB Ingham, D Lesnic… - Inverse Problems in …, 2003 - Taylor & Francis
This article revisits the application of the Dual Reciprocity Method to a class of inverse
problems governed by the Poisson equation in a thorough and careful manner. Here the …

A Discontinuous Dual Reciprocity Method in Conjunction with a Regularized Levenberg–Marquardt Method for Source Term Recovery in Inhomogeneous Anisotropic …

A Ellabib, A El Madkouri - International Journal of Computational …, 2020 - World Scientific
This paper outlines a new approach to identify a source term of a 2 D elliptic equation for
anisotropic nonhomogenous media. The proposed methodology is based on the …

A novel coupled complex boundary method for solving inverse source problems

X Cheng, R Gong, W Han, X Zheng - Inverse Problems, 2014 - iopscience.iop.org
In this paper, we consider an inverse source problem for elliptic partial differential equations
with Dirichlet and Neumann boundary data. The unknown source term is to be determined …

Identifications of source distributions using BEM with dual reciprocity method

T Matsumoto, M Tanaka, T Tsukamoto - Inverse Problems in Engineering …, 2003 - Elsevier
The boundary element method with the dual reciprocity method (DRM) is applied to an
identification problem of source distribution in two-dimensional potential problems. The …

A coupled complex boundary method for an inverse conductivity problem with one measurement

R Gong, X Cheng, W Han - Applicable Analysis, 2017 - Taylor & Francis
We recently proposed in [Cheng, XL et al. A novel coupled complex boundary method for
inverse source problems Inverse Problem 2014 30 055002] a coupled complex boundary …

[PDF][PDF] Fast matrix exponential-based quasi-boundary value methods for inverse space-dependent source problems.

FSV Bazán, L Bedin, KH Leem, J Liu… - Networks & …, 2023 - aimspress.com
In this paper, we study the well-established quasi-boundary value methods for regularizing
inverse state-dependent source problems, where the convergence analysis of three typical …

Boundary condition limitation in an inverse source problem and its overcoming

Z Zhao - Computers & Mathematics with Applications, 2022 - Elsevier
In this paper, we point out the main disadvantage of the existing methods for solving an
inverse source problems: The smoothness of the solutions is limited by the boundary …