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In this paper, we develop an almost embarrassingly parallel solution to an electromagnetic solver of linear complexity for overcoming the grand challenge of performing electromagnetically accurate co-simulation of die-package interaction. In this solution, through suitable basis functions and linear algebraic techniques, we directly and rigorously decompose the system matrix in a 3-D space to multiple...
Passivity is a crucial property of macromodels to guarantee stable global (interconnected) simulation. However, weakly nonpassive models may be generated for passive circuits and systems in various contexts, such as data fitting, model order reduction (MOR) and electromagnetic (EM) macromodeling. Therefore, a post-processing passivity enforcement algorithm is desired. Most existing algorithms are...
A fast complex-valued 3-D eigenvalue solver for finite-element-based analysis was developed to solve arbitrarily-shaped multilayered integrated circuits. Numerical results have demonstrated the accuracy and efficiency of the proposed solver.
In this paper the analysis and design of next-generation VLSI circuits using accurate electromagnetics-based models result in numerical problems of very large scale is presented. Typically, the solution of a problem with N parameters requires at least O(N) computation. With next generation VLSI circuits, however, even O(N) is prohibitively high since N is very large. The method that partially addresses...
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