A Duality Method for Micromagnetics

DOI10.1137/080738179zbMath1203.49052OpenAlexW2141969611MaRDI QIDQ3066249

Baisheng Yan, Pablo Pedregal

Publication date: 10 January 2011

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

Full work available at URL: https://semanticscholar.org/paper/ae55d9aebc15aaca033d84849c161b45d9ab89ee

zbMATH Keywords

energy minimizersmicromagneticsduality methoddivergence-free fields

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical methods involving duality (49M29) Methods involving semicontinuity and convergence; relaxation (49J45) Duality theory (optimization) (49N15) Statistical mechanics of magnetic materials (82D40) Variational methods applied to problems in optics and electromagnetic theory (78M30)

Related Items (10)

Construction of Lipschitz solutions to an Eikonal type equation on annulus ⋮ On the equilibrium set of magnetostatic energy by differential inclusion ⋮ Characterization of energy minimizers in micromagnetics ⋮ Thermodynamically consistent mesoscopic model of the ferro/paramagnetic transition ⋮ Existence and uniqueness of weak solutions to the Landau–Lifshitz equation for large ferromagnetic bodies ⋮ On energy-minimization in ferromagnetism controlled by applied fields ⋮ Variational Principles of Micromagnetics Revisited ⋮ Computational modeling of magnetic hysteresis with thermal effects ⋮ Minimizing \(L^{\infty }\)-norm functional on divergence-free fields ⋮ On stability and asymptotic behaviours for a degenerate Landau–Lifshitz equation

This page was built for publication: A Duality Method for Micromagnetics