论文部分内容阅读
给出电磁波导的对偶变量变分原理,并采用对偶棱边元对波导的横截面进行半解析离散.将波导中沿纵向均匀的区段视为子结构,运用基于Riccati方程的精细积分算法求出其出口刚度阵,然后与不均匀区段的常规有限元网格拼装即可对波导不连续性问题进行求解.半解析对偶棱边元的采用可以在最大程度上对有限元网格进行缩减,并且能够在不增加计算量的前提下任意增加子结构的长度,从而可以将截断求解区域的人工边界设置在距离不均匀区段充分远的地方,极大地减少了近似边界条件所带来的误差.数值算例证明这种方法具有很高的精度与效率.
The principle of dual variable variational of electromagnetic waveguides is given, and the waveguide cross-section is discretized semi-analytically by using dual edge-edge elements. The longitudinally uniform sections of waveguides are regarded as substructures. Using the precise integral algorithm based on Riccati equation The exit stiffness matrix is obtained, and then the waveguide discontinuity problem can be solved by assembling with the conventional finite element mesh of the non-uniform section.The semi-analytical dual edge element can reduce the finite element mesh to the maximum extent , And the length of the substructure can be increased arbitrarily without increasing the amount of computation, so that the artificial boundary of the truncated solution area can be set sufficiently far away from the non-uniform area, which greatly reduces the influence of the approximate boundary conditions The numerical examples show that this method has high accuracy and efficiency.