CISE PostDoc: Computational Methods in VLSI Design

9805743 Sameh, Ahmed H. Grama, Ananth Y. Purdue University CISE博士后：VLSI设计中的计算方法本研究项目将为VLSI设计中出现的电磁学问题开发创新的计算方法和软件。该项目专注于为高速集成电路中电感和电容效应的有限元和边界元建模产生的线性系统开发鲁棒、有效和可并行的求解器和预调节器。利用系数矩阵的多极和块低秩近似，研究了基于层次表示的技术。本文还讨论了这些技术对稀疏解的近似逆预条件和多层方案的影响。该技术的便携式并行公式以及收敛和并行性能的理论估计是有针对性的。除了开发创新技术和培养博士后研究助理外，该项目还有助于加强普渡大学最近在计算电磁学方面的主动性。电磁学博士后研究人员的存在也补充了pi的专业领域，有助于项目的跨学科性质。

9805743 Sameh, Ahmed H. Grama, Ananth Y. Purdue University CISE PostDoc: Computational Methods in VLSI Design This research project will develop innovative computational methods and software for problems in electromagnetics arising in VLSI design. The project focuses on developing robust, effective, and parallelizable solvers and preconditioners for linear systems arising from finite element and boundary element modeling of inductive and capacitive effects in high speed integrated circuits. Techniques based on a hierarchy of representations using multipoles and block low-rank approximations of the coefficient matrix are investigated. The implications of these techniques for approximate inverse preconditioners and multilevel schemes for sparse solvers are also addressed. Portable parallel formulations of the techniques along with theoretical estimates for convergence and parallel performance are targeted. In addition to development of innovative techniques and training of the post-doctoral research associate, this project serves to strengthen the recent initiative in computational electromagnetics at Purdue University. The presence of a post-doctoral researcher in electromagnetics also complements the PIs' areas of expertise, contributing to the interdisciplinary nature of the project.