Unified approach to electromagnetic shape-inverse and mechanically coupled problems via a Lagrangian technique

被引：0

作者：

Formisano, Alessandro ^{[1
]}

Martone, Raffaele ^{[1
]}

Villone, Fabio ^{[1
]}

机构：

[1] Universita degli Studi di Napoli, Napoli, Italy

来源：

IEEE Transactions on Magnetics | 1998年 / 34卷 / 1 pt 2期

关键词：

Finite element method - Inverse problems - Optimization - Problem solving;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The aim of this paper is to present a Lagrangian unified approach to shape-dependent electromagnetic problems (equilibrium, dynamic coupled, shape inverse, trajectory inverse problems). The main features of this approach are illustrated, and a comparison with the usual Eulerian point of view is made, from both the analytical and the numerical side, showing several advantages of the Lagrangian approach. A simple analytical example is presented in order to help comprehension and to show the effectiveness of the method. In addition, some practical applications are described.

引用

页码：218 / 230

共 50 条

[11] Unified approach to analytical solutions of three inverse transport problems
McCormick, NJ
PROGRESS IN NUCLEAR ENERGY, 1999, 34 (04) : 425 - 430
[12] An Efficient Technique for Solving Inhomogeneous Electromagnetic Inverse Scattering Problems
Elkattan, Mohamed
JOURNAL OF ELECTROMAGNETIC ENGINEERING AND SCIENCE, 2020, 20 (01): : 64 - 72
[13] Distributed Method of Multiplier for Coupled Lagrangian Problems: A Control Approach
Rawat, Abhishek
Elia, Nicola
2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC), 2018, : 6475 - 6480
[14] Topological sensitivities via a Lagrangian approach for semilinear problems
Sturm, Kevin
NONLINEARITY, 2020, 33 (09) : 4310 - 4337
[15] An Augmented Lagrangian Approach to the Constrained Optimization Formulation of Imaging Inverse Problems
Afonso, Manya V.
Bioucas-Dias, Jose M.
Figueiredo, Mario A. T.
IEEE TRANSACTIONS ON IMAGE PROCESSING, 2011, 20 (03) : 681 - 695
[16] A domain adaptation approach to solve inverse problems in imaging via coupled deep dictionary learning
Singhal, Vanika
Majumdar, Angshul
PATTERN RECOGNITION, 2020, 100
[17] Solving inverse electromagnetic scattering problems via domain derivatives
Hagemann, Felix
Arens, Tilo
Betcke, Timo
Hettlich, Frank
INVERSE PROBLEMS, 2019, 35 (08)
[18] Open problems in the qualitative approach to inverse electromagnetic scattering theory
Cakoni, F
Colton, D
EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2005, 16 : 411 - 425
[19] Fast Distributed Method of Multiplier for Coupled Lagrangian Problems: A Control Approach
Rawat, Abhishek
Elia, Nicola
2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2018, : 5445 - 5450
[20] Shape recovery of corrosion damage for electromagnetic inverse problems arising in nondestructive testing
Kojima, F
Yorifuji, D
Banks, HT
SICE 2002: PROCEEDINGS OF THE 41ST SICE ANNUAL CONFERENCE, VOLS 1-5, 2002, : 1918 - 1923

← 1 2 3 4 5 →