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Adaptive techniques for Landau–Lifshitz–Gilbert equation with magnetostriction

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dc.creator Baˇnas∗, L’ubomír
dc.date 2022-06-08T09:52:07Z
dc.date 2022-06-08T09:52:07Z
dc.date 2005-08-25
dc.date.accessioned 2022-10-25T08:51:44Z
dc.date.available 2022-10-25T08:51:44Z
dc.identifier 0377-0427
dc.identifier https://www.suaire.sua.ac.tz/handle/123456789/4221
dc.identifier.uri http://hdl.handle.net/123456789/91692
dc.description In this paper we propose a time–space adaptive method for micromagnetic problems with magnetostriction. The considered model consists of coupled Maxwell’s, Landau–Lifshitz–Gilbert (LLG) and elastodynamic equations. The time discretization of Maxwell’s equations and the elastodynamic equation is done by backward Euler method, the space discretization is based on Whitney edge elements and linear finite elements, respectively. The fully discrete LLG equation reduces to an ordinary differential equation, which is solved by an explicit method, that conserves the norm of the magnetization.
dc.format application/pdf
dc.language en_US
dc.publisher Elsevier
dc.subject Maxwell’s equations
dc.subject Magnetostriction
dc.subject Numerical methods
dc.subject Space–time a posteriori error estimates
dc.subject Micromagnetism
dc.title Adaptive techniques for Landau–Lifshitz–Gilbert equation with magnetostriction
dc.type Article


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