集成电子系统电磁分析的域分解和多尺度有限元

A. Cangellaris, Hong Wu
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引用次数: 8

摘要

提出了一种用于集成、封装电子系统互连和配电网络的计算机辅助分析和设计的有限元方法。引入了多尺度有限元的概念来描述传统有限元的泛化,将其理解为计算域的一个小的有限体积,其中未知的场量用插值多项式函数来近似,到一个广义的,电磁行为的,可缩放的,数学宏观模型,它捕获了计算域的一个子区域的电磁响应。以一种与有限元建模基础设施无缝兼容的方式。这种广义有限元与适用于多层电子衬底电磁建模的域分解方法相结合,有助于提高有限元建模的通用性和对集成电子系统建模的适用性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Domain decomposition and multi-scale finite elements for electromagnetic analysis of integrated electronic systems
A finite element methodology is presented for computer-aided analysis and design of the interconnect and power distribution network of integrated, packaged electronic systems. The concept of multi-scale finite elements is introduced to describe the generalization of the traditional finite element, understood as a small finite volume of the computational domain over which the unknown field quantity is approximated in terms of interpolate polynomial functions, to a generalized, electromagnetic behavior-baring, scaleable, mathematical macro-model, which captures the electromagnetic response of a sub-region of the computational domain, in a manner seamlessly compatible with the finite element modeling infrastructure. Such generalized finite elements, combined with a domain decomposition methodology suitable for multi-layered electronic substrate electromagnetic modeling, help enhance the modeling versatility and applicability of finite elements to integrated electronic system modeling.
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