Optimal control for a coupled spin-polarized current and magnetization system

DOI10.1007/S10444-022-09947-1zbMath1493.35112OpenAlexW4229077194MaRDI QIDQ2673497

Yanyan Li

Publication date: 10 June 2022

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-022-09947-1

zbMATH Keywords

optimal controlweak solutiondiffusion equationnumerical simulationLandau-Lifshitz-Gilbert equationexistence resultFaedo-Galerkin approximationmicromagnetism

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Controllability (93B05) Numerical computation of solutions to systems of equations (65H10) PDEs in connection with optics and electromagnetic theory (35Q60) Integro-partial differential equations (45K05) Variational methods applied to PDEs (35A15) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence theories for optimal control problems involving partial differential equations (49J20) Statistical mechanics of magnetic materials (82D40) Variational methods applied to problems in optics and electromagnetic theory (78M30) Integro-partial differential equations (35R09) PDE constrained optimization (numerical aspects) (49M41)

Related Items (2)

Stochastic evolutionary \(p\)-Laplace equation: large deviation principles and transportation cost inequality ⋮ Stochastic doubly nonlinear PDE: large deviation principles and existence of invariant measure

Uses Software

• SciPy
• Python
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Cites Work

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