Capacitance extraction is one of the key issues in integrated circuits and also a typical electrostatic prob- lem. The dual discrete geometric method （DGM） is investigated to provide relative solutions in two-dimens...Capacitance extraction is one of the key issues in integrated circuits and also a typical electrostatic prob- lem. The dual discrete geometric method （DGM） is investigated to provide relative solutions in two-dimensional unstructured mesh space. The energy complementary characteristic and quick field energy computation thereof based on it are emphasized. Contrastive analysis between the dual finite element methods and the dual DGMs are presented both from theoretical derivation and through case studies. The DGM, taking the scalar potential as unknown on dual interlocked meshes, with simple form and good accuracy, is expected to be one of the mainstreaming methods in associated areas.展开更多
Sensitivity analysis methods help to deal with the challenges of process variation in extraction of para- sitic capacitances in an integrated circuit. The dual discrete geometric methods （DGMs）, which have been rece...Sensitivity analysis methods help to deal with the challenges of process variation in extraction of para- sitic capacitances in an integrated circuit. The dual discrete geometric methods （DGMs）, which have been recently utilized to extract parasitic capacitances, are reviewed. The computation method based on the dual DGMs for sen- sitivities of capacitances with respect to the given process parameters is presented. As the dual DGMs utilize scalar electric potential is unknown, the capacitances are obtained effectively, and then the sensitivities are calculated conveniently.展开更多
基金supported by the National Science Foundation of China(No.51207150)the Director Foundation of Institute of Microelectronics of Chinese Academy of Sciences(Nos.Y2SF017001,Y3SZ0701)
文摘Capacitance extraction is one of the key issues in integrated circuits and also a typical electrostatic prob- lem. The dual discrete geometric method （DGM） is investigated to provide relative solutions in two-dimensional unstructured mesh space. The energy complementary characteristic and quick field energy computation thereof based on it are emphasized. Contrastive analysis between the dual finite element methods and the dual DGMs are presented both from theoretical derivation and through case studies. The DGM, taking the scalar potential as unknown on dual interlocked meshes, with simple form and good accuracy, is expected to be one of the mainstreaming methods in associated areas.
基金supported by the National Natural Science Foundation of China(Nos.61574167,51407181)
文摘Sensitivity analysis methods help to deal with the challenges of process variation in extraction of para- sitic capacitances in an integrated circuit. The dual discrete geometric methods （DGMs）, which have been recently utilized to extract parasitic capacitances, are reviewed. The computation method based on the dual DGMs for sen- sitivities of capacitances with respect to the given process parameters is presented. As the dual DGMs utilize scalar electric potential is unknown, the capacitances are obtained effectively, and then the sensitivities are calculated conveniently.
