Existence and approximation of a mixed formulation for thin film magnetization problems in superconductivity

DOI10.1142/S0218202513500747zbMath1295.35019WikidataQ117202084 ScholiaQ117202084MaRDI QIDQ5411774

John W. Barrett, Leonid Prigozhin

Publication date: 25 April 2014

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

power lawtype-II superconductorscritical state problems

Mathematics Subject Classification ID

Numerical methods involving duality (49M29) Variational inequalities (49J40) Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Thin fluid films (76A20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Statistical mechanics of superconductors (82D55) Theoretical approximation in context of PDEs (35A35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Weak solutions to PDEs (35D30) Dynamic critical phenomena in statistical mechanics (82C27) Moving boundary problems for PDEs (35R37)

Related Items (3)

Hyperbolic Maxwell variational inequalities of the second kind ⋮ Hyperbolic Maxwell Variational Inequalities for Bean's Critical-State Model in Type-II Superconductivity ⋮ A nonlinear relaxation formulation of the \(p\)-curl problem modelling high-temperature superconductors: a modified Yee's scheme

Cites Work

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• Bean's critical-state model as the \(p\rightarrow\infty\) limit of an evolutionary \(p\)-Laplacian equation
• Solution of thin film magnetization problems in type-II superconductivity
• A QUASI-VARIATIONAL INEQUALITY PROBLEM IN SUPERCONDUCTIVITY
• Finite element approximation of a nonlinear eigenvalue problem related to MHD equilibria
• A mixed finite element method for a nonlinear Dirichlet problem

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