Kohn–Vogelius formulation for plasma geometry identification problem

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 i...

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Bibliographic Details
Published in:	Boundary value problems Vol. 2022; no. 1; pp. 1 - 13
Main Authors:	Abdelwahed, Mohamed, Chorfi, Nejmeddine
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 07-03-2022 SpringerOpen
Subjects:	Analysis Approximations and Expansions Difference and Functional Equations Geometric inverse problem Kohn–Vogelius formulation Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Partial Differential Equations in Applied Sciences Topological asymptotic method 35K05 Kohn–Vogelius formulation Geometric inverse problem Topological asymptotic method 49N12
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Summary:	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.
ISSN:	1687-2770 1687-2770
DOI:	10.1186/s13661-022-01592-3