有限元/边界积分方程混合方法在电磁散射问题中的应用

【作者】 邱兆杰；

【导师】 韦高；

【作者基本信息】 西北工业大学 ， 电磁场与微波技术， 2004， 硕士

【摘要】 本文将有限元(FEM)／边界积分方程(BI)混合方法应用于电磁散射问题。在二维和三维散射问题中，分别应用二维结点FEM／BI混合方法和三维矢量FEM／BI混合方法。有限元单元使用二阶曲边四边形单元和四面体矢量单元。探讨和研究应用该混合方法分析复杂目标电磁散射特性的实现方法以及该混合方法的精度、效率和通用性的提高等问题。讨论了数值实现技术。提出了一种优化的有限元剖分方案，这种方法能够减少剖分出的未知量。开发了应用程序。计算结果与精确结果或文献结果吻合得很好。更多还原

【Abstract】 Application of hybrid finite element method/boundary integral method (FEM/BI) to EM scattering problems is studied in this paper. Nodal FEM/BI is employed for two-dimensional problems, and vector FEM/BI for three-dimensional problems. Second-order quadrilateral nodal finite elements and tetrahedral edge finite elements are used for computing scattering from two- and three-dimensional structures, respectively. Schemes on implementing the hybrid method to analyze EM scattering properties of complex objects is discussed, and improvement of the accuracy, efficiency and versatility of the hybrid method is also discussed. An optimum scheme for constructing finite element meshes is proposed, which can reduce the sum of the unknowns. Numerical technique is discussed, and application program is developed for EM scattering problems. Numerical results are in excellent agreement with those presented by other papers or exact solutions.更多还原