Domain Decomposition Methods in Science and Engineering XX
Domain Decomposition Methods in Science and Engineering XX
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DOI：
10.1007/978-3-642-35275-1
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发表时间：
2013-07
期刊：
影响因子：
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通讯作者：
R. Bank;M. Holst;O. Widlund;Jinchao Xu
中科院分区：
文献类型：
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作者：
R. Bank;M. Holst;O. Widlund;Jinchao Xu
涡流问题的通常设置区分导体周围的导电区域和空气区域（非导电）。对于这种异质问题的数值近似，使用基于界面处的传输条件的迭代子结构方法是非常自然的。我们分析了Dirichlet-Neumann迭代法对于两种不同形式的涡流问题的收敛性：一种是考虑电场作为主要未知量，另一种是基于磁场。
The usual setting of an eddy current problem distinguishes between a conducting region and an air region (non-conducting) surrounding the conductor. For the numerical approximation of this heterogeneous problem it is very natural to use iterative substructuring methods based on transmission conditions at the interface. We analyze the convergence of the Dirichlet-Neumann iterative method for two different formulations of the eddy current problem: the one that consider as main unknown the electric field and the one based on the magnetic field.