基于节点编码的区域分解算法及其在二维散射中的应用

研究了一种高效率的基于节点编码的区域分解算法.将原始的求解区域分割为若干个相对独立的子区域,使原问题转化为若干个相对独立的子问题,通过求解公共边界上的场值,可以快速获得整个求解区域上的场值,极大地减少了存储量和计算量.此外,这种区域分解算法不仅能够快速、高效、并行地计算电大尺寸柱体的电磁散射,还特别适合于求解具有几何重复性特征的结构,如天线阵列、有限周期频率选择表面、PBG/EBG等的电磁仿真问题.数值算例验证了该方法的准确性和有效性.

Application of DDM Based on Special Ordered Nodes in 2-D Electromagnetic Scattering

In this paper, a fast and efficient domain decomposition method based on special ordered nodes is studied for the analysis of arbitrary electrically large 2-D scattering problems. By decomposing the original domain into several inde-pendent sub domains, we could get the whole domain solution efficiently once the unknowns on the connective interfaces among sub domains are solved. Obviously, the memory requirement and computational effort would be greatly decreased. Further more, the method not only can deal with the arbitrary electrically large scattering problems, but also becomes extremely efficient for problems with geometric repetitions, such as multi-cylinder scattering, antenna arrays, photonic and electromagnetic band gap structures (PBG/EBGs), frequency selective surfaces (FSSs) etc. The validity and computational efficiency of the method have been verified by numerical examples.