Adaptive techniques for Landau–Lifshitz–Gilbert equation with magnetostriction |
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Authors: | L’ubomír Baňas |
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Institution: | Department of Mathematical Analysis, Ghent University, Galglaan 2, B-9000 Ghent, Belgium |
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Abstract: | 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. |
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Keywords: | 65M15 65M50 82D40 74B20 |
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