Nowadays, increasing demands are placed on enhancements of the model fidelity in electromagnetic (EM) analysis. One major difficulty comes from the multiscale nature of the high-definition geometry, in which the spatial scales differ by orders of magnitude. It often leads to strongly nonuniform discretizations, and a large, dense, and ill-conditioned matrix equation to solve. The work investigates an adaptive coarse-graining domain decomposition method for the integral equation-based solution of large, complex EM problems. A parallel and multilevel skeletonization approach is employed to construct effective coarse-grid basis functions locally per subdomain. The benefits of the work include a well-preconditioned system, an effective matrix compression, and the reduced computational costs. The numerical results validate the hypothesis and demonstrate a considerable reduction in the computational complexity for multiscale problems of interest.
- Domain decomposition (DD)
- electromagnetic (EM) scattering
- integral equations (IEs)
- multiresolution techniques
ASJC Scopus subject areas
- Electrical and Electronic Engineering