FASTHENRY: a multipole-accelerated 3-D inductance extraction program. A mesh analysis equation formulation technique combined with a multipole-accelerated Generalized Minimal Residual (GMRES) matrix solution algorithm is used to compute the 3-D frequency dependent inductances and resistances in nearly order n time and memory where n is the number of volume-filaments. The mathematical formulation and numerical solution are discussed, including two types of preconditioners for the GMRES algorithm. Results from examples are given to demonstrate that the multipole acceleration can reduce required computation time and memory by more than an order of magnitude for realistic integrated circuit packaging problems.

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  2. Cobos Sánchez, Clemente; Garcia-Pacheco, Francisco Javier; Rodriguez, Jose Maria Guerrero; Hill, Justin Robert: An inverse boundary element method computational framework for designing optimal TMS coils (2018)
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  4. Sánchez, Clemente Cobos; Power, Henry; Garcia, Salvador G.; Bretones, Amelia Rubio: Quasi-static multi-domain inverse boundary element method for MRI coil design with minimum induced E-field (2011)
  5. Chen, Junqing; Chen, Zhiming; Cui, Tao; Zhang, Lin-Bo: An adaptive finite element method for the eddy current model with circuit/field couplings (2010)
  6. Mahawar, Hemant; Sarin, Vivek: Preconditioned iterative solvers for inductance extraction of VLSI circuits (2007)
  7. Wang, Haitao; Lei, Ting; Li, Jin; Huang, Jingfang; Yao, Zhenhan: A parallel fast multipole accelerated integral equation scheme for 3D Stokes equations (2007)
  8. Yu, Wenjian; Yan, Changhao; Wang, Zeyi: A mixed surface integral formulation for frequency-dependent inductance calculation of 3D interconnects (2007)
  9. Cai, Yi-Ci; Liu, Bin; Xiong, Yan; Zhou, Qiang; Hong, Xian-Long: Priority-based routing resource assignment considering crosstalk (2006) ioport
  10. Yan, Changhao; Yu, Wenjian; Wang, Zeyi: Application of the complete multiple reciprocity method for 3D impedance extraction with multiple frequency points (2006)
  11. Engin, A. Ege; Mathis, Wolfgang; John, Werner; Sommer, Grit; Reichl, Herbert: Closed-form network representations of frequency-dependent RLGC parameters (2005)
  12. Zhou, Dian; Li, Rui-Ming: Design and verification of high-speed VLSI physical design (2005) ioport
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  14. Guidotti, Patrick: A new first kind boundary integral formulation for the Dirichlet-to-Neumann map in 2D (2003)
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