Kohn-Vogelius formulation for plasma geometry identification problem

被引：0
|
作者：
Abdelwahed, Mohamed [1 ]
Chorfi, Nejmeddine [1 ]
机构：
[1] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh, Saudi Arabia
来源：
BOUNDARY VALUE PROBLEMS | 2022年 / 2022卷 / 01期
关键词：
Kohn-Vogelius formulation; Topological asymptotic method; Geometric inverse problem; TOPOLOGICAL ASYMPTOTIC-EXPANSION; OPTIMIZATION; EQUATIONS; DESIGN; POWER;
D O I：
10.1186/s13661-022-01592-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the problem of plasma geometry control problem in a tokamak. The domain location and shape are determined using an approach based on the Kohn-Vogelius formulation and topological asymptotic method. We present a one-shot numerical procedure based on the developed asymptotic formula and use it on different test configurations.
引用
收藏
页数：13
相关论文
共 50 条
  • [1] Kohn–Vogelius formulation for plasma geometry identification problem
    Mohamed Abdelwahed
    Nejmeddine Chorfi
    [J]. Boundary Value Problems, 2022
  • [2] On the Kohn-Vogelius formulation for solving an inverse source problem
    Menoret, P.
    Hrizi, M.
    Novotny, A. A.
    [J]. INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2021, 29 (01) : 56 - 72
  • [3] On a Kohn-Vogelius like formulation of free boundary problems
    Karsten Eppler
    Helmut Harbrecht
    [J]. Computational Optimization and Applications, 2012, 52 : 69 - 85
  • [4] A KOHN-VOGELIUS FORMULATION TO DETECT AN OBSTACLE IMMERSED IN A FLUID
    Caubet, Fabien
    Dambrine, Marc
    Kateb, Djalil
    Timimoun, Chahnaz Zakia
    [J]. INVERSE PROBLEMS AND IMAGING, 2013, 7 (01) : 123 - 157
  • [5] On a Kohn-Vogelius like formulation of free boundary problems
    Eppler, Karsten
    Harbrecht, Helmut
    [J]. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2012, 52 (01) : 69 - 85
  • [6] INVERSE PROBLEM RESOLUTION VIA KOHN-VOGELIUS FORMULATION AND TOPOLOGICAL SENSITIVITY METHOD
    Abdelwahed, Mohamed
    Chorfi, Nejmeddine
    [J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2022, 30 (10)
  • [7] A NEW KOHN-VOGELIUS TYPE FORMULATION FOR INVERSE SOURCE PROBLEMS
    Cheng, Xiaoliang
    Gong, Rongfang
    Han, Weimin
    [J]. INVERSE PROBLEMS AND IMAGING, 2015, 9 (04) : 1051 - 1067
  • [8] A combination of Kohn-Vogelius and DDM methods for a geometrical inverse problem
    Chaabane, Slim
    Haddar, Houssem
    Jerbi, Rahma
    [J]. INVERSE PROBLEMS, 2023, 39 (09)
  • [9] GRADIENT FLOW FOR KOHN-VOGELIUS FUNCTIONAL
    Plotnikov, P. I.
    Sokolowski, J.
    [J]. SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2023, 20 (01): : 524 - 579
  • [10] A regularizing Kohn-Vogelius formulation for the model-free adsorption isotherm estimation problem in chromatography
    Lin, G.
    Zhang, Y.
    Cheng, X.
    Gulliksson, M.
    Forssen, P.
    Fornstedt, T.
    [J]. APPLICABLE ANALYSIS, 2018, 97 (01) : 13 - 40
12345