Edge‐based finite element approach to the simulation of geoelectromagnetic induction in a 3‐D sphere
Edge‐based finite element approach to the simulation of geoelectromagnetic induction in a 3‐D sphere
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DOI：
10.1029/2001gl014121
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发表时间：
2002-02
影响因子：
5.2
通讯作者：
R. Yoshimura;N. Oshiman
中科院分区：
文献类型：
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作者：
R. Yoshimura;N. Oshiman
我们提出了一种基于边缘有限元法（FEM）的模拟器，用于计算在各种频率的外部源电流激励下三维导电球体中的全局尺度电磁感应响应。这个公式是用磁矢量势表示的。边缘-元素方法将自由度分配给边缘而不是元素的节点。该边单元严格满足常规边界条件的不连续性，而不考虑通常在基于节点的有限元法中实施的强制常规边界条件。为了验证我们的模拟代码，我们将我们的结果与其他求解器的结果进行了两个测试计算的比较，对应于方位对称和非对称模型。这些结果彼此吻合得很好。
We present a new simulator based on an edge‐based finite element method (FEM) for computing the global‐scale electromagnetic (EM) induction responses in a 3‐D conducting sphere excited by an external source current for a variety of frequencies. The formulation is in terms of the magnetic vector potential. The edge‐element approach assigns the degrees of freedom to the edges rather than to the nodes of the element. This edge‐element strictly satisfies the discontinuity of the normal boundary conditions without considering the enforced normal boundary conditions that are usually practiced in a node‐based FEM. To verify our simulation code, we compare our results with those of other solvers for two test computations, corresponding to azimuthally symmetric and asymmetric models. The results are in good agreement with one another.