• Beck, R., and R. Hiptmair, Multilevel solution of the time-harmonic Maxwell's equations based on edge elements, Int. J. Numer. Methods Eng., 45, 901920, 1999.
  • Bossavit, A., and I. Mayergoyz, Edge-elements for scattering problems, IEEE Trans. Magn., 25(4), 28162822, 1989.
  • Briggs, W. L., V. E. Henson, and S. F. McCormick, A Multigrid Tutorial, 2nd ed., Soc. for Ind. and Appl. Math., Philadelphia, Pa., 2000.
  • Cote, M. C., M. B. Woodworth, and A. D. Yaghjian, Scattering from the perfectly conducting cube, IEEE Trans. Antennas Propag., 36, 13211329, 1988.
  • Dyczij-Edlinger, R., and O. Biro, A joint vector and scalar potential formulation for driven high frequency problems using hybrid edge and nodal finite elements, IEEE Trans. Microwave Theory Tech., 44, 1523, 1996.
  • Dyczij-Edlinger, R., G. Peng, and J. F. Lee, A fast vector-potential method using tangentially continuous vector finite elements, IEEE Trans. Microwave Theory Tech., 46, 863868, 1998.
  • Dyczij-Edlinger, R., G. Peng, and J. F. Lee, Stability conditions forusing TVFEMs to solve Maxwell equations in the frequency domain, Int. J. Numer. Model. Electron. Networks Devices Fields, 13, 245260, 2000.
  • Hiptmair, R., Multigrid method for Maxwell's equations, SIAM J. Numer. Anal., 36(1), 204225, 1999.
  • Lee, R., and A. C. Cangellaris, A study of discretization error in the finite element approximation of wave solutions, IEEE Trans. Antennas Propag., 40, 542549, 1992.
  • Peterson, A. F., and D. R. Wilton, Curl-conforming mixed-order edge elements for discretizing the 2D and 3D vector Helmholtz equation, in Finite Element Software for Microwave Engineering, pp. 101125, Wiley-Interscience, New York, 1996.
  • Saad, Y., Iterative Methods for Sparse Linear Systems, PWS, Boston, Mass., 1996.
  • Zhu, Y., and A. C. Cangellaris, Nested multigrid vector and scalar potential (A − V) finite element method for fast computation of two-dimensional electromagnetic scattering, CCEM Res. Rep. CCEM-4-01, Cent. for Comput. Electromagn., Univ. of Ill. at Urbana-Champaign, April 2001.
  • Zhu, Y., and A. C. Cangellaris, Hierarchical multilevel potential preconditioner for fast finite element modeling of microwave devices, IEEE Trans. Microwave Theory Tech., in press, 2002.