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李治平

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期刊论文

MULTI-ATOMIC YOUNG MEASURE AND ARTIFICIAL BOUNDARY IN APPROXIMATION OF MICROMAGNETICS

李治平ZHIPING LI XIAONAN WU

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摘要/描述

Some micromagnetic phenomena can be modelled by a minimization problem of a nonconvex energy. A numerical method to compute the micromagnetic field, which gives rise to a finite dimensional unconstrained minimization problem, is given and analyzed. In our method, the Maxwell's equation defined on the whole space is solved by a finite element method using artificial boundary, and the highly oscillatory magnetization structure is approximated by an element-wise constant Young measure supported on a finite number of unknown points on the unit sphere. Numerical experiments on some uniaxial and cubic anisotropic energy densities show that the method is e

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