A semi-discrete scheme for the stochastic Landau-Lifshitz equation

DOI10.1007/s40072-014-0033-7zbMath1332.35348arXiv1403.3016OpenAlexW2038082723WikidataQ115375344 ScholiaQ115375344MaRDI QIDQ487675

Antoine Hocquet, François Alouges, Anne de Bouard

Publication date: 23 January 2015

Published in: Stochastic and Partial Differential Equations. Analysis and Computations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.3016

zbMATH Keywords

stochastic partial differential equationsLandau-Lifshitz equationsemi-discrete schemenumerical analysisa-priori estimatesmartingale solutionProkhorov theoremSkorokhod's representation theorem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with optics and electromagnetic theory (35Q60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) A priori estimates in context of PDEs (35B45) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Applications to the sciences (65Z05)

Related Items

Wong-Zakai approximation for the stochastic Landau-Lifshitz-Gilbert equations, A finite element approximation for the stochastic Landau-Lifshitz-Gilbert equation, Convergent finite element based discretization of a stochastic two‐phase flow model, On strong solution to the 2D stochastic Ericksen-Leslie system: a Ginzburg-Landau approximation approach, Second-order semi-implicit projection methods for micromagnetics simulations, Struwe-like solutions for the stochastic harmonic map flow, Weak solutions of a stochastic Landau-Lifshitz-Gilbert equation driven by pure jump noise, Weak martingale solutions to the stochastic Landau-Lifshitz-Gilbert equation with multi-dimensional noise via a convergent finite-element scheme, Splitting Integrators for the Stochastic Landau--Lifshitz Equation, Finite-time singularity of the stochastic harmonic map flow, Existence, uniqueness and regularity for the stochastic Ericksen–Leslie equation

Uses Software

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