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高阶FE-BI方法及一种新型的预条件技术

Higher order hexahedral vector finite element-boundary integral method and an efficient preconditioner for solving the FE-BI matrix equations
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摘要 将基于六面体网格的高阶矢量基函数(higher order vector basisfunction)引入到矢量有限元-边界积分(FE-BI)混合方法中,用于建模带有深腔和狭长缝隙结构三维目标的电磁散射特性;提出了一种新型的预条件技术,用于加速FE-BI系统的迭代求解;给出了结合该预条件技术的GMRES方法求解腔体电磁散射的算例;数值结果证明了高阶FE-BI方法相对于低阶FE-BI方法的优势以及新型预条件技术的有效性。 The higher order hexahedral vector finite element-boundary integral (FE- BI) method is used to model scattering by three-dimensional cavities. A novel preconditioner is proposed to accelerate the solution of FE-BI matrix equations. Several air-filled rectangle cavities and a long aperture cavity are considered. Numerical resuits demonstrate the superiority of the higher order FE-BI method and the efficiency of the preconditioner in conjunction with tho GMRES solver.
出处 《电波科学学报》 EI CSCD 北大核心 2007年第2期196-203,共8页 Chinese Journal of Radio Science
基金 国家自然科学基金重点项目(NSFC)(60431010) 电子科技大学创新团队支持计划
关键词 高阶矢量基函数 有限元 边界积分 预条件 散射 higher order vector basis function, finite element-boundary integral method (FE-BI), preconditioner, scattering
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