Convergence and stability of a numerical method for micromagnetics
Convergence and stability of a numerical method for micromagnetics
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DOI：
10.1007/s00211-009-0210-1
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发表时间：
2009-03
影响因子：
2.1
通讯作者：
Zhiping Li;Xianmin Xu
中科院分区：
文献类型：
--
作者：
Zhiping Li;Xianmin Xu
The convergence and stability of a numerical method, which applies a nonconforming finite element method and an artificial boundary method to a multi-atomic Young measure relaxation model, for micromagnetics are analyzed. By revealing some key properties of the solution sets of both the continuous and discrete problems, we show that our numerical method is stable, and the solution set of the continuous problem is well approximated by those of the discrete problems. The performance of our method is also illustrated by some numerical examples.
