Fully Discrete Scheme for Bean's Critical-state Model with Temperature Effects in Superconductivity

DOI10.1137/18M1231407zbMath1427.35269WikidataQ126796016 ScholiaQ126796016MaRDI QIDQ5244394

Malte Winckler, Irwin Yousept

Publication date: 21 November 2019

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

convergence analysiserror estimatessuperconductivityfully discrete schemeMaxwell variational inequalityBean's critical-state model with temperature effects

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Statistical mechanics of superconductors (82D55) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Maxwell equations (35Q61) PDEs in connection with statistical mechanics (35Q82) Unilateral problems for hyperbolic systems and systems of variational inequalities with hyperbolic operators (35L87)

Related Items (9)

Maxwell Variational Inequalities in Type-II Superconductivity ⋮ Maxwell quasi-variational inequalities in superconductivity ⋮ Eddy current approximation in Maxwell obstacle problems ⋮ Quasilinear Variational Inequalities in Ferromagnetic Shielding: Well-Posedness, Regularity, and Optimal Control ⋮ Optimal control of elliptic variational inequalities with bounded and unbounded operators ⋮ Adaptive Edge Element Approximation for H(curl) Elliptic Variational Inequalities of Second Kind ⋮ Well-posedness theory for electromagnetic obstacle problems ⋮ Shape Optimization for Superconductors Governed by H(curl)-Elliptic Variational Inequalities ⋮ Numerical Analysis for Maxwell Obstacle Problems in Electric Shielding

Uses Software

• FEniCS

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