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

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.

The use of non-linear inverse problem and enthalpy method in GTAW process of aluminum

2015 ◽  
Vol 66 ◽  
pp. 114-121 ◽  
Author(s):  
Elisan dos Santos Magalhães ◽  
Solidônio Rodrigues de Carvalho ◽  
Ana Lúcia Fernandes de Lima E Silva ◽  
Sandro Metrevelle Marcondes Lima E Silva
Keyword(s):  
Inverse Problem ◽  
Linear Inverse Problem ◽  
Enthalpy Method ◽  
Non Linear ◽  
Gtaw Process

EQUIVALENT SOURCES USED AS AN ANALYTIC BASE FOR PROCESSING TOTAL MAGNETIC FIELD PROFILES

Geophysics ◽  
1973 ◽  
Vol 38 (2) ◽  
pp. 339-348 ◽  
Author(s):  
David A. Emilia
Keyword(s):  
Magnetic Field ◽  
Inverse Problem ◽  
Amplitude Spectrum ◽  
Linear Inverse Problem ◽  
Total Magnetic Field ◽  
Vertical Derivative ◽  
Equivalent Sources

Equivalent sources are useful in processing total magnetic field profiles. A lines‐of‐dipoles distribution, obtained by solving the linear inverse problem, provides an analytic base for computing the following quantities from an observed field: first and second vertical derivative fields, upward‐ and downward‐continued fields, field reduced to the pole, amplitude spectrum of the field, and band‐passed field. A theoretical example demonstrates the validity of the approach, and a field example shows that reasonable results are readily obtained.

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