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首页> 外文期刊>Magnetics, IEEE Transactions on >Indirect Coupling of the Cell Method and BEM for Solving 3-D Unbounded Magnetostatic Problems
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Indirect Coupling of the Cell Method and BEM for Solving 3-D Unbounded Magnetostatic Problems

机译：单元法与BEM的间接耦合解决3-D无界静磁问题

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摘要

A novel hybrid approach for solving magnetostatic problems with an unbounded air domain is presented. The basic idea is to use augmented dual grids for interfacing the cell method (CM) and Boundary Element Method by indirect coupling, introducing equivalent surface field sources. The field problem in bounded domains is discretized by the CM in terms of integral variables, i.e., line integrals of the magnetic vector potential. Boundary integral conditions, formulated with the reduced magnetic scalar potential, are applied to avoid the air region meshing. A mixed final symmetric algebraic system, which can be solved by fast iterative solvers, such as Minimal Residual Method or SYMMLQ, is finally obtained. The magnetic field in the air region is then easily reconstructed from the equivalent sources. Numerical tests show that the hybrid method is accurate even by using a collocation approach for discretizing the boundary integral conditions.
机译：提出了一种新颖的混合方法，用于解决无界空气域的静磁问题。基本思想是通过间接耦合，使用等效的表面场源，使用增强的双​​网格来连接单元方法（CM）和边界元素方法。 CM根据积分变量，即磁矢量势的线积分，将有界域中的磁场问题离散化。边界积分条件由降低的磁标量势公式化，可避免空气区域啮合。最终获得了混合的最终对称代数系统，该系统可以通过快速迭代求解器（如最小残差法或SYMMLQ）求解。然后可以轻松地从等效源中重建空气区域中的磁场。数值试验表明，即使采用搭配方法离散边界积分条件，混合方法也是准确的。

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