Matrix-Partitioned DDM for the Accurate Analysis of Challenging Scattering Problems

Abstract

A matrix-partitioned domain decomposition method based on integral equation using the out-of-core iterative solver is presented for accurately analyzing challenging electromagnetic scattering problems with limited memory. The proposed method is based on the domain decomposition strategy, which decomposes the original large complex matrix of the electrically large problem into several sub-matrices of the electrically small sub-problems. Then, the out-of-core solver is used to solve the partitioned matrix equation panel by panel. In the process of constructing sub-problems, the proposed method does not introduce any additional unknowns. Thus, it can significantly reduce memory consumption, expanding the scale of the problem that can be solved. Numerical examples demonstrate that the method is very accurate even for the EM scattering targets the RCS of which are below -40 dBsm. And it can completely eliminate the pseudo edge effect which often occurs in the implementation of the domain decomposition method. In addition, modeling and partitioning the subdomains of the proposed method is easy and flexible.

Keywords

• Matrix partitioning
• domain decomposition
• surface integral equations
• out-of-core solver