Numerical Approximations of the Relative Rearrangement: The piecewise linear case. Application to some Nonlocal Problems

DOI10.1051/m2an:2000152zbMath0963.76052OpenAlexW2068480048MaRDI QIDQ4950939

M. L. Seoane, Jean Michel Rakotoson

Publication date: 27 April 2000

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/197436

zbMATH Keywords

finite element approximationplasma physicsnonlocal problemsfixed point methodrelative rearrangement of functions

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (5)

Lipschitz properties in variable exponent problems via relative rearrangement ⋮ Existence of solutions for a nonlocal problem arising in plasma physics ⋮ An elliptic-parabolic equation with a nonlocal term for the transient regime of a plasma in a stellarator. ⋮ On a nonlocal problem for a confined plasma in a tokamak. ⋮ On a nonlocal elliptic problem arising in the confinement of a plasma in a current carrying stellarator

Cites Work

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• Numerical solution of a nonlocal problem arising in plasma physics
• Assembling a rearrangement
• Duality methods for solving variational inequalities
• Directional derivative of the increasing rearrangement mapping and application to a queer differential equation in plasma physics
• Non-convex methods for computing free boundary equilibria of axially symmetric plasmas
• A differentiability result for the relative rearrangement
• A non-linear eigenvalue problem: the shape at equilibrium of a confined plasma
• Duality in nonconvex optimization
• A duality principle for non-convex optimisation and the calculus of variations
• Some properties of the relative rearrangement
• A co-area formula with applications to monotone rearrangement and to regularity
• Galerkin approximation, strong continuity of the relative rearrangement map and application to plasma physics equations
• On a nonlocal stationary free-boundary problem arising in the confinement of a plasma in a stellarator geometry
• Relative rearrangement on a measure space. Application to the regularity of weighted monotone rearrangement. II
• Equilibrium of a Magnetically Confined Plasma in a Toroid
• Critical Point Approximation Through Exact Regularization
• Rearrangements of functions and convergence in orlicz spaces
• On a free boundary problem arising in plasma physics
• Sur une classe de problemes non lineaires avec non linearite positive, croissante, convexe.
• Establishment of magnetic coordinates for a given magnetic field
• Remarks on a free Boundary Value Problem Arising in Plasma Physics
• Symmetric Decreasing Rearrangement Is Sometimes Continuous
• Existence and Control of Plasma Equilibrium in a Tokamak
• Relative rearrangement for highly nonlinear equations
• Equilibrium calculations for helical axis stellarators
• Convex Analysis

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