About one numerical algorithm for the solution of the inverse problem with respect to potential

2018 ◽  
Vol 18 (4) ◽  
pp. 1035-1041
Author(s):  
Nargiz. Huseynova ◽  
Malahat Orujova ◽  
Nargiz Safarova ◽  
Nazile Hajiyeva
Keyword(s):  
Inverse Problem ◽  
Numerical Algorithm

scholarly journals Application of the topological sensitivity method to the reconstruction of plasma equilibrium domain in a tokamak

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Mohamed Abdelwahed ◽  
Nejmeddine Chorfi ◽  
Maatoug Hassine ◽  
Imen Kallel
Keyword(s):  
Inverse Problem ◽  
Asymptotic Expansion ◽  
Numerical Algorithm ◽  
Shape Function ◽  
Optimization Technique ◽  
Plasma Equilibrium ◽  
Topological Sensitivity ◽  
Sensitivity Method

AbstractThe topological sensitivity method is an optimization technique used in different inverse problem solutions. In this work, we adapt this method to the identification of plasma domain in a Tokamak. An asymptotic expansion of a considered shape function is established and used to solve this inverse problem. Finally, a numerical algorithm is developed and tested in different configurations.

scholarly journals Dynamic Susceptibility of Ferrofluids: The Numerical Algorithm for the Inverse Problem of Magnetic Granulometry

Mathematics ◽  
2021 ◽  
Vol 9 (19) ◽  
pp. 2450
Author(s):  
Alexey O. Ivanov ◽  
Vladimir S. Zverev
Keyword(s):  
Inverse Problem ◽  
Numerical Algorithm ◽  
Magnetic Moments ◽  
Computer Experiments ◽  
Dynamic Susceptibility ◽  
Mathematical Methods ◽  
Frequency Spectra ◽  
Experimental Data Processing ◽  
Direct Measurements ◽  
Dynamic Magnetic Susceptibility

The size-dependent properties of magnetic nanoparticles (MNP) are the major characteristics, determining MNP application in modern technologies and bio-medical techniques. Direct measurements of the nanosized particles, involved in intensive Brownian motion, are very complicated; so the correct mathematical methods for the experimental data processing enable to successfully predict the properties of MNP suspensions. In the present paper, we describe the fast numerical algorithm allowing to get the distribution over the relaxation time of MNP magnetic moments in ferrofluids. The algorithm is based on numerical fitting of the experimentally measured frequency spectra of the initial dynamic magnetic susceptibility. The efficiency of the algorithm in the solution of the inverse problem of magnetic granulometry is substantiated by the computer experiments for mono- and bi-fractional ferrofluids.

scholarly journals Incorrect inverse problem conected with the parameter identification of the heat and mass transfer models

2002 ◽  
Vol 6 (1) ◽  
pp. 23-28 ◽  
Author(s):  
Christo Boyadjiev
Keyword(s):  
Mass Transfer ◽  
Inverse Problem ◽  
Parameter Identification ◽  
Heat And Mass Transfer ◽  
Numerical Algorithm ◽  
Problem Solution ◽  
Iterative Regularization ◽  
Inverse Problem Solution ◽  
Transfer Models

A method for inverse problem solution by means of iterative regularization has been developed. A numerical algorithm for solving inverse incorrect problems based on the developed iterative regularization has been proposed.

scholarly journals A numerical algorithm for solving the inverse problem of determining the low permeability zone

2016 ◽  
Vol 84 (4) ◽  
pp. 124-130
Author(s):  
M.A. Sultanov ◽  
◽  
G.B. Bakanov ◽  
I.E. Svetov ◽  
B.B. Ustemirova ◽  
...  
Keyword(s):  
Inverse Problem ◽  
Numerical Algorithm ◽  
Low Permeability

scholarly journals Reconstruction of a Robin Coefficient by a Predictor-Corrector Method

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Yun-Jie Ma
Keyword(s):  
Inverse Problem ◽  
Approximate Solution ◽  
Temperature Measurement ◽  
Numerical Algorithm ◽  
Nonlinear Inverse Problem ◽  
Boundary Temperature ◽  
Predictor Corrector

The present paper is devoted to solving a nonlinear inverse problem of identifying a Robin coefficient from boundary temperature measurement. A numerical algorithm on the basis of the predictor-corrector method is designed to restore the approximate solution and the performance of the method is verified by simulating several examples. The convergence with respect to the amount of noise in the data is also investigated.

An stable numerical algorithm for identifying the solution of an inverse problem

2007 ◽  
Vol 190 (1) ◽  
pp. 231-236 ◽  
Author(s):  
A. Shidfar ◽  
J. Damirchi ◽  
P. Reihani
Keyword(s):  
Inverse Problem ◽  
Numerical Algorithm

Cost‐efficient numerical algorithm for solving the linear inverse problem of finding a variable magnetization

2019 ◽  
Vol 43 (13) ◽  
pp. 7647-7656
Author(s):  
Elena N. Akimova ◽  
Petr S. Martyshko ◽  
Vladimir E. Misilov ◽  
Valeriy O. Miftakhov
Keyword(s):  
Inverse Problem ◽  
Numerical Algorithm ◽  
Linear Inverse Problem ◽  
Cost Efficient

AN INVERSE PROBLEM IN THE DYNAMICAL REATOR THEORY

1982 ◽  
Vol 2 (1) ◽  
pp. 9-16 ◽  
Author(s):  
Dexing Feng ◽  
Guangtian Zhu
Keyword(s):  
Inverse Problem
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