A finite-element analysis of critical-state models for type-II superconductivity in 3D

DOI10.1093/imanum/drl021zbMath1119.82046OpenAlexW2141886996MaRDI QIDQ3437234

Charles M. Elliott, Yohei Kashima

Publication date: 14 May 2007

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/01abe07041b9b9ace2111ca206efb2b52b521151

zbMATH Keywords

convergencevariational inequalityMaxwell's equationsedge finite elementcomputational electromagnetismmacroscopic models for superconductivity

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) Einstein-Maxwell equations (83C22) Statistical mechanics of magnetic materials (82D40)

Related Items (14)

Maxwell Variational Inequalities in Type-II Superconductivity ⋮ A macroscopic model for an intermediate state between type-I and type-II superconductivity ⋮ Optimal Control of Non-Smooth Hyperbolic Evolution Maxwell Equations in Type-II Superconductivity ⋮ Eddy current approximation in Maxwell obstacle problems ⋮ Simulation of high temperature superconductors and experimental validation ⋮ On the double critical-state model for type-II superconductivity in 3D ⋮ 3D computation of non-linear eddy currents: variational method and superconducting cubic bulk ⋮ Quasilinear Variational Inequalities in Ferromagnetic Shielding: Well-Posedness, Regularity, and Optimal Control ⋮ Hyperbolic Maxwell Variational Inequalities for Bean's Critical-State Model in Type-II Superconductivity ⋮ Convergence of the backward Euler method for type-II superconductors ⋮ Fully discrete linear approximation scheme for electric field diffusion in type-II superconductors ⋮ Well-posedness theory for electromagnetic obstacle problems ⋮ Shape Optimization for Superconductors Governed by H(curl)-Elliptic Variational Inequalities ⋮ Fully Discrete Scheme for Bean's Critical-state Model with Temperature Effects in Superconductivity

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