Fast incremental 3D full-wave analysis for package-board design iterations via eigen-GCR

In a typical design cycle many iterations on the package-board-system layout may be performed to meet design specifications. In the process, the analysis step needs to be repeated as many times as the number of layout variants. The cost of analysis, especially if using a 3D fullwave extraction methodology, therefore becomes prohibitive for large-scale analysis in the design process. In this paper, a methodology is proposed to expedite analysis of subsequent layout iterations based on information stored from previous layout solution. The efficiency of a Method of Moments (MoM) based 3D full-wave solution is limited by the slow convergence of the iterative solver in a fast solver framework. In this work, eigen-vectors from a previously solved layout is used to augment to the Krylov subspace to expedite the convergence of a Generalized Conjugate Residual (GCR)-based iterative solution for next layout. Numerical results demonstrate up to 40% improvement in the convergence properties using the proposed GCR method.