Simulation of multiscale structures using equivalence principle algorithm with grid-robust higher order vector basis

References

• Chew WC, Jiang LJ, Chu YH, Wang GL, Chiang IT, Pan YC, Zhao JS. Toward a more robust and accurate CEM fast integral equation solver for IC applications. IEEE Trans. Adv. Packag. Aug. 2005;28:449–464.10.1109/TADVP.2005.848665
   Google Scholar
• Qian ZG, Chew WC. Fast full-wave surface integral equation solver for multiscale structure modeling. IEEE Trans. Antennas Propag. Nov. 2009;57:3594–3601.
   Web of Science ®Google Scholar
• Chew WC, Qian ZG, Li MK. Computational electromagnetics for multi-scale structures in circuits. In: Proceedings IEEE Electrical Design of Advanced Packaging & Systems Symposium; 2009; Shatin.
   Google Scholar
• Andriulli FP, Cools K, Bagci H, Olyslager F, Buffa A, Christiansen S, Michielssen E. A multiplicative Calderón preconditioner for the electric field integral equation. IEEE Trans. Antennas Propag. Aug. 2008;56:2398–2412.10.1109/TAP.2008.926788
   Web of Science ®Google Scholar
• Yan S, Jin JM, Nie ZP. EFIE analysis of low-frequency problems with loot-star decomposition and Calderón multiplicative preconditioner. IEEE Trans. Antennas Propag. Mar. 2010;58:857–867.10.1109/TAP.2009.2039336
   Google Scholar
• Stupfel B. A fast-domain decomposition method for the solution of electromagnetic scattering by large objects. IEEE Trans. Antennas Propag. Oct. 1996;44:1375–1385.
   Google Scholar
• Lu Y, Shen CY. A domain decomposition finite-difference method for parallel numerical implementation of time-dependent Maxwell’s equations. IEEE Trans. Antennas Propag. Mar. 1997;45:556–562.
   Google Scholar
• Chew WC, Lu CC. The use of Huygens’ equivalence principle for solving the volume integral equation of scattering. IEEE Trans. Antennas Propag. July 1993;41:897–904.
   Web of Science ®Google Scholar
• Xiao GB, Mao JF, Yuan B. A generalized surface integral equation formulation for analysis of complex electromagnetic systems. IEEE Trans. Antennas Propag. Mar. 2009;57:701–710.10.1109/TAP.2009.2013425
   Web of Science ®Google Scholar
• Lancellotti V, de Hon BP, Tijhuis AG. An eigencurrent approach to the analysis of electrically large 3-D structures using linear embedding via green’s operators. IEEE Trans. Antennas Propag. Nov. 2009;57:3575–3583.
   Web of Science ®Google Scholar
• Li MK, Chew WC. Wave-field interaction with complex structures using equivalence principle algorithm. IEEE Trans. Antennas Propag. Jan. 2007;55:130–138.10.1109/TAP.2006.888453
   Web of Science ®Google Scholar
• Li MK, Chew WC. Multiscale simulation of complex structures using equivalence principle algorithm with high-order field point sampling scheme. IEEE Trans. Antennas Propag. Aug. 2008;56:2389–2397.10.1109/TAP.2008.926785
   Web of Science ®Google Scholar
• Yla-Oijala P, Taskinen M. Electromagnetic scattering by large and complex structures with surface equivalence principle algorithm. Waves in Random and Complex Media. Feb. 2009;19:105–125.10.1080/17455030802585365
   Web of Science ®Google Scholar
• Shao HR, Hu J, Guo H, Ye F, Lu WC, Nie ZP. Fast simulation of array structures using T-EPA with Hierarchical LU decomposition. IEEE Antennas Wirel. Propag. Lett. 2012;11:1556–1559.10.1109/LAWP.2012.2236532
   Web of Science ®Google Scholar
• Shao HR, Hu J, Lu WC, Guo H, Nie ZP. Analyzing large-scale arrays using tangential equivalence principle algorithm with characteristic basis functions. Proc. IEEE. Feb. 2013;101:414–422.
   Web of Science ®Google Scholar
• Kang G, Song JM, Chew WC, Donepudi K, Jin JM. A novel grid-robust higher order vector basis function for the method of moments. IEEE Trans. Antennas Propag. Jun. 2001;49:908–915.10.1109/8.931148
   Web of Science ®Google Scholar
• Feng X, Hu J, Yin JL, Nie ZP. Fast integral equation-fourier transformation algorithm with grid-robust higher-order vector basis. IET Microwaves Antennas Propag. 2011;5:1690–1696.10.1049/iet-map.2010.0621
   Google Scholar
• Graglia RD, Wilton DR, Peterson AF. Higher order interpolatory vector bases for computational electromagnetics. IEEE Trans. Antennas Propag. Mar. 1997;45:329–342.10.1109/8.558649
   Web of Science ®Google Scholar
• Zhang B, Biao GX, Mao JF, Wang Y. Analyzing large-scale non-periodic arrays with synthetic basis functions. IEEE Trans. Antennas Propag. Aug. 2010;58:3576–3584.10.1109/TAP.2010.2071331
   Web of Science ®Google Scholar
• Song JM, Lu CC, Chew WC. Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects. IEEE Trans. Antennas Propag. Oct. 1997;45:1488–1493.
   Web of Science ®Google Scholar
• Lu CC, Chew WC. A coupled surface-volume integral equation approach for the calculation of electromagnetic scattering from composite metallic and material targets. IEEE Trans. Antennas Propag. Dec. 2000;48:1866–1868.10.1109/8.901277
   Web of Science ®Google Scholar
• Saad Y, Schultz MH. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. July 1986;7:856–869.
   Web of Science ®Google Scholar