Non-convex methods for computing free boundary equilibria of axially symmetric plasmas

DOI10.1007/BF01447768zbMath0495.65052OpenAlexW2063780121MaRDI QIDQ1169801

Michel Sermange, Bernard Heron

Publication date: 1982

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01447768

zbMATH Keywords

convergenceGalerkin methodfinite element methodnonconvex problemsiteration schemeaxially symmetric plasmasfree boundary equilibria

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Free boundary problems for PDEs (35R35) Variational methods for second-order elliptic equations (35J20) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (7)

On solving general reverse convex programming problems by a sequence of linear programs and line searches ⋮ An application of the duality theory of Toland to a problem of optimal control ⋮ A new class of multilevel decomposition algorithms for non-monotone problems based on the quasidifferentiability concept ⋮ On solving a d.c. programming problem by a sequence of linear programs ⋮ Numerical Approximations of the Relative Rearrangement: The piecewise linear case. Application to some Nonlocal Problems ⋮ On a nonlinear boundary value problem; the equilibrium of a confined plasma ⋮ Un modèle non local en physique des plasmas: résolution par une méthode de degré topologique. (A nonlocal model in plasma physics: solution by the method of topological degree)

Cites Work

• A non-linear eigenvalue problem: the shape at equilibrium of a confined plasma
• Duality in nonconvex optimization
• Elliptic eigenvalue problems with discontinuous nonlinearities
• A duality principle for non-convex optimisation and the calculus of variations
• On a free boundary problem arising in plasma physics
• Remarks on a free Boundary Value Problem Arising in Plasma Physics
• Heavy rotating string—a nonlinear eigenvalue problem
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