CISE PostDoc: Computational Methods in VLSI Design

9805743 Sameh，Ahmed H. Grama，Ananth Y. 普渡大学 CISE PostDoc：VLSI设计中的计算方法 本研究计画将针对超大规模积体电路设计中所产生的电磁学问题，发展创新的计算方法与软体。该项目的重点是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所产生的线性系统开发鲁棒、有效且可并行的求解器和预处理器。技术的基础上的一个层次的表示使用多极和块低秩近似的系数矩阵进行了研究。这些技术的影响，近似逆预处理和稀疏求解器的多级计划也得到了解决。便携式并行配方的技术沿着与理论估计的收敛性和并行性能的目标。除了开发创新技术和培训博士后研究助理外，该项目还有助于加强普渡大学最近在计算电磁学方面的举措。电磁学博士后研究员的存在也补充了PI的专业领域，有助于该项目的跨学科性质。

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.