Reconstruction of the equilibrium of the plasma in a tokamak and identification of the current density profile in real time

DOI10.1016/j.jcp.2011.04.005zbMath1382.76295arXiv0909.4474OpenAlexW1990575755MaRDI QIDQ423805

Jacques Blum, Blaise Faugeras, Cédric Boulbe

Publication date: 30 May 2012

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.4474

zbMATH Keywords

inverse problemfinite element methodreduced basis methodGrad-Shafranov equationfixed point algorithm

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (11)

INVERSE PROBLEM RESOLUTION VIA KOHN–VOGELIUS FORMULATION AND TOPOLOGICAL SENSITIVITY METHOD ⋮ Application of the topological sensitivity method to the reconstruction of plasma equilibrium domain in a tokamak ⋮ Iterated quasi-reversibility method applied to elliptic and parabolic data completion problems ⋮ Kohn-Vogelius formulation for plasma geometry identification problem ⋮ Numerical solution of ideal MHD equilibrium via radial basis functions collocation and moving least squares approximation methods ⋮ Existence and numerical modelling of vortex rings with elliptic boundaries ⋮ Decomposition theorem and Riesz basis for axisymmetric potentials in the right half-plane ⋮ FEM-BEM coupling methods for tokamak plasma axisymmetric free-boundary equilibrium computations in unbounded domains ⋮ Optimal control of a coupled partial and ordinary differential equations system for the assimilation of polarimetry Stokes vector measurements in tokamak free-boundary equilibrium reconstruction with application to ITER ⋮ Fourier-spectral element approximation of the ion-electron Braginskii system with application to tokamak edge plasma in divertor configuration ⋮ Generic properties of free boundary problems in plasma physics*

Uses Software

• Regularization tools
• Equinox
• JET

Cites Work

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• An inverse problem originating from magnetohydrodynamics
• To the problem of the recovery of nonlinearities in equations of mathematical physics
• A practical guide to splines
• An inverse problem for the equation \(\Delta u=-cu-d\)
• Regularization Tools Version 3. 0 for Matlab 5. 2

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