Abstract
This paper describes an efficient improvement of the multipole accelerated boundary element method for 3-D capacitance extraction. The overall relations between the position of 2-D boundary elements are considered instead of only the relations between the center-points of the elements, and a new method of cube partitioning is introduced. Numerical results are presented to demonstrate that the method is accurate and has nearly linear computational growth asO(n), wheren is the number of panels/boundary elements. The proposed method is more accurate and much faster than Fastcap.
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This work is partly supported by the National Grand Fundamental Research 973 Program of China under Grant No.G1998030404, and the National High-Tech Development 863 Program of China under Grant No.2002AA1Z1460-1.
Zhao-Zhi Yang received the B.S. and M.S. degrees both in computer science from Tsinghua University in 1998 and 2000, respectively. Since September 2000, he has been working toward the Ph.D. degree at the Department of Computer Science and Technology, Tsinghua University. His main research interests are the applications and research of the numerical methods, including the computations of multipole methods and optimizing algorithms in the areas of VLSI-CAD.
Ze-Yi Wang graduated from the Department of Computational Mathematics in Xian Jiaotong University in 1965. Since 1965, he has been with Tsinghua University, where he is currently a professor with the Department of Computer Science and Technology. From 1987 to 1988, he was a visiting scholar at Stanford University working on 3-D device simulation on a parallel computer. His main research interests are the applications and research of the numerical methods, including the parallel computations in the areas of VLSI-CAD such as circuit analysis, device simulation and parasitic interconnect parameter extraction.
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Yang, ZZ., Wang, ZY. New multipole method for 3-D capacitance extraction. J. Compt. Sci. & Technol. 19, 544–549 (2004). https://doi.org/10.1007/BF02944756
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DOI: https://doi.org/10.1007/BF02944756