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Download Advanced Field-Solver Techniques for RC Extraction of by Wenjian Yu, Xiren Wang (auth.) PDF

By Wenjian Yu, Xiren Wang (auth.)

Resistance and capacitance (RC) extraction is an important step in modeling the interconnection wires and substrate coupling influence in nanometer-technology built-in circuits (IC). The field-solver recommendations for RC extraction warrantly the accuracy of modeling, and have gotten more and more vital in assembly the call for for actual modeling and simulation of VLSI designs. Advanced Field-Solver concepts for RC Extraction of built-in Circuits provides a scientific advent to, and therapy of, the main field-solver tools for RC extraction of VLSI interconnects and substrate coupling in mixed-signal ICs. a variety of field-solver suggestions are defined intimately, with real-world examples to demonstrate the benefits and downsides of every algorithm.

This publication will profit graduate scholars and researchers within the box of electric and machine engineering in addition to engineers operating within the IC layout and layout automation industries.

Dr. Wenjian Yu is an affiliate Professor on the division of laptop technology and know-how at Tsinghua college in China; Dr. Xiren Wang is a R&D Engineer at Cadence layout platforms within the USA.

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2 (a) A 2-D problem with two dielectrics and (b) the corresponding coefficient matrix A, where the gray blocks stand for nonzero entries Fig. 3 A single dielectric with Cartesian coordinate system is cut into Q D Qx Qy Qz fictitious mediums Qz=2 Qy=2 Y Z X Qx=4 In Fig. 2, we show a typical structure with two dielectrics and the corresponding matrix A generated by the direct BEM, where the nonzero entries and the location of discrete variables are indicated. The QMM approach takes full advantage of the localization character of direct BEM.

Extended the multipole method to handle the “potential boundary integral” (whose kernel is 1/r3 ) in the direct BEM [4]. An adaptive boundary meshing scheme with an error indictor was also proposed. What they discussed was the model of multiple dielectrics within infinite domain. Hou et al. proposed an adaptive 3-D BEM solver for capacitance extraction [62], whose idea is to automatically meet the specified accuracy requirement by gradually refining the boundary meshes. In 2000, Gu et al. extended the fast hierarchical method used in the indirect BEM, making it feasible to the direct BEM-based capacitance extraction [58].

To get the best performance for matrixvector products, it’s beneficial to reduce the rank in some way, which is called recompression. Note that recompression is a plus, not a must for ACA. 3 Comparison of the fast field solvers Kernel dependency Far-field matrix memory Parallel computing Fast multipole methods Yes Even for capacitance extraction, a multilayered Green function may vary with the geometry or the physical parameters; then, the fast multipole code has to be considerably revised Matrix is not computed or stored in memory explicitly Hard It’s essentially serial computing.

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