Finite element approximation of a nonlinear eigenvalue problem related to MHD equilibria

DOI10.1007/BF03167065zbMath0634.76117OpenAlexW2081635422MaRDI QIDQ3773641

Teruo Ushijima, Kenji Nakazato, Fumio Kikuchi

Publication date: 1984

Published in: Japan Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167065

zbMATH Keywords

error analysisfinite element approximationnonlinear eigenvalue problemiteration schemenumerical analysisMHD equilibrialumped finite element scheme

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

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Cites Work

• Approximation of a nondifferentiable nonlinear problem related to MHD equilibria
• A non-linear eigenvalue problem: the shape at equilibrium of a confined plasma
• Maximum principle and uniform convergence for the finite element method
• A numerical study of some questions in vortex rings theory
• An Analysis of Upwind Schemes for the Navier–Stokes Equations
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