有限元边界积分结合撕裂对接法分析电磁散射

Analysis of electromagnetic scattering problems by combining FEBI with FETI method

有限元边界积分方法采用有限元法分析物体内部复杂材料,采用矩量法分析物体开域表面,充分结合了两种方法的优点。然而单机求解电大尺寸问题面临着运算速度不高和内存容量不足的问题,因此发展有效的并行技术亟不可待。利用区域分解法固有的并行性,将有限元撕裂对接法引入到有限元边界积分方法中,解决了硬件资源不足的问题,提高了求解问题的效率。该方法在处理内部未知量大和内部材料复杂的电大尺寸问题方面具有较大优势。给出的数值算例充分证明了该方法的可行性和有效性。

The finite element boundary integral method（FEBI） uses both the finite element method（FEM） to analyze the complex materials inside the objects and the method of moments（MOM） to analyze the exterior surfaces of the objects in the open region,so the advantages of FEM and MOM are fully utilized in FEBI method.However,it is difficult to solve the electrically large size problems on a uniprocessor,which is faced with the difficulties that the operating speed is slow and the physical memory is insufficient,hence it is necessary to develop an effective parallel technology.Utilizing the inherent character that the domain decomposition method（DDM） is easy to be parallel computed,this paper proposes an efficient method,which solves the problem of insufficient hardware source by introducing the finite element tearing and interconnecting（FETI） to the FEBI method.This method has obvious advantages of dealing with the electrically large size problems whose interior unknown number is large and interior materials are complex.Numerical results of the presented examples demonstrate the accuracy and efficiency of this method.