Parallel FETI-DP Method for Frequency Domain Electromagnetic Analysis of Waveguide Structure

다국어 초록 (Multilingual Abstract)

Efficient and scalable simulation techniques for frequency-domain electromagnetic problems are crucial for the design and analysis of distributed circuit components in modern high-frequency applications. While the finite element method (FEM) provides powerful modeling capabilities for complex and inhomogeneous structures, conventional direct solvers encounter significant computational bottlenecks due to the repeated solution of large-scale linear systems across multiple frequency points. To address these challenges, this paper presents a parallel domain decomposition framework based on the dual-primal finite element tearing and interconnecting (FETI-DP) algorithm, incorporating targeted modifications to interface transmission conditions to account for guided wave propagation, and utilizing MPI-based parallelization at the subdomain level for each frequency step. Extensive numerical experiments on dielectric-loaded waveguides confirm both the accuracy and efficiency of the proposed approach. Close agreement with the commercial HFSS solver validates the numerical solutions, while performance comparisons with the MUMPS (a multifrontal massively parallel sparse solver) demonstrate substantial reductions in computation time, particularly as the number of unknowns increases. The acceleration achieved by the FETI-DP framework is shown to depend primarily on the problem size rather than on the number of frequency sweep steps. These results highlight the proposed method as a robust and scalable solution for accelerating frequency-sweep electromagnetic simulations of distributed circuit components.