有限元边界积分方法分析天线电磁特性

摘要计算机技术的发展带动了电磁场数值计算技术的发展，对于复杂的电磁学问题可以运用数值方法来求解。随之发展起来的数值计算方法有矩量法(MoM)，有限元法(FEM)，时域有限差分法(FDTD)等，这几种方法各有各的优越性，也各有各的缺陷。因此为了更加方便的解决复杂的电磁学问题，由几种数值方法混合而成的混合算法发展起来。有限元-边界积分方法就是应用很广泛的一种混合算法，它分别利用了有限元法和边界积分方法的优越之处，其原理为引入一个包围所研究目标的虚构边界，在虚构边界内部用有限元方法来分析，在边界上用边界积分法来处理。在虚构边界上通过场的连续性耦合起来，从而得到一个内部和边界场解的耦合方程。9176
    关键词电磁场有限元法边界积分法有限元-边界积分方法
毕业设计说明书（论文）外文摘要
Title   A Hybrid FE-BI Method Using in Antenna Electromagnetic
          Characteristics Analysis
Abstract
The development of computer technology has driven the development of the electromagnetic field numerical calculation technology , for complex electromagnetic problems can use numerical method to solve. The subsequent development of the numerical methods are the Method of Moment(MoM), the Finite Element Method(FEM)and the Finite-Difference Time-Domain(FDTD). These methods have their own advantages, but also have their own defects. Therefore, in order to be more convenient to solve complex problems, several numerical methods are mixed into a hybrid algorithm have developed. The Finite Element and Boundary Integral(FE-BI) is a very broad application hybrid algorithm, which respectively uses the advantages of the finite element method and boundary integral method.The principle of this hybrid method is that the FEM is employed to handle the interior domain of bodies and the boundary integrate is used to develop surface integrals that relate the field quantities on boundary surfaces with the equivalent surface currents. These integral equations are then coupled to the finite element equations through the continuity of the tangential magnetic fields a cross the hybrid boundaries.
Keywords electromagnetic field,finite element method,boundary integral memthod,finite element and boundary integral method
目次

1 引言   1
1.1   课题研究背景及意义   1
1.2   国内外研究现状   2
1.2.1   国外研究现状   2
1.2.2   国内研究情况   3
1.3   研究内容和主要工作   5
2   电磁场有限元方法简介   5
2.1   边值问题的经典方法   5
2.1.1   边值问题   5
2.1.2   里兹方法   6
2.1.3   伽辽金方法   8
2.2   电磁学的变分原理   9
2.2.1   标准变分原理   9
2.2.2   修正变分原理   11
2.2.3   广义变分原理   12
2.3   有限元方法的原理   13
2.3.1   从一文的例子来看有限元的建模过程   13
2.3.2   三文时谐场有限元问题   18
2.4   本章小结   23
3有限元-边界积分方法   23
3.1边界积分方程法   23 有限元边界积分方法分析天线电磁特性:http://www.751com.cn/tongxin/lunwen_7808.html