Finite-Element Method
Finite-Element Method
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DOI：
10.1002/9780470829646.ch3
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发表时间：
2012-04
期刊：
影响因子：
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通讯作者：
X. Sheng;W. Song
中科院分区：
文献类型：
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作者：
X. Sheng;W. Song
有限元法（FEM）是一种将泛函的变分离散化的全波数值方法。这种方法在电磁学范围内的发展可以追溯到两类问题的解决，即本征模问题和确定性问题。如果我们试图用一些例子来说明最典型和最完整的技术与最完整的解决方案，本征模问题的介质加载波导和三维（3D）不连续波导中的波传播是很好的候选人代表本征模和闭域解决方案，分别。对于开域散射问题和辐射问题，指出了求解三维散射问题的本质和关键。因此，我们将通过解决上述三个具体问题来说明有限元的理论基础，关键解决技术和典型技能。在本章的最后，我们还将简要回顾其他一些问题的有限元解。
The finite-element method (FEM) is a full-wave numerical method that discretizes the variational of a functional. The evolution of this method within the scope of electromagnetics traces back to the solving of two classes of problems, namely, the eigenmode problems and the deterministic problems. If we try to use some examples to illustrate the most typical and the most complete techniques with the most complete solution, the eigenmode problem of a dielectrically loaded waveguide and the wave propagation in a three-dimensional (3D) discontinuous waveguide are good candidates representing the eigenmode and the closed-domain solutions, respectively. As for the open-domain scattering problem and radiating problems, the authors consider the essential and key parts are presented in solving the 3D scattering problems. For this reason, we will illustrate the theoretical basics, the critical solving techniques and the typical skills involved in FEM through solving of the above three specific problems. At the end of this chapter, we will also briefly review the FEM solution for some other problems.