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Volumn 25, Issue 2, 2003, Pages 623-642

An improved algebraic multigrid method for solving Maxwell's equations

Author keywords

Algebraic multigrid; Eddy currents; Maxwell's equations; Multigrid; Smoothed aggregation

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; EDDY CURRENTS; ELECTRIC CONDUCTIVITY; INTERPOLATION; ITERATIVE METHODS; MATHEMATICAL OPERATORS; THEOREM PROVING;

EID: 2342488827     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827502407706     Document Type: Conference Paper
Times cited : (65)

References (18)
  • 1
    • 0037670448 scopus 로고    scopus 로고
    • Parallel multigrid smoothing: Polynomial versus Gauss-Seidel
    • M. F. ADAMS, M. BREZINA, J. J. HU, AND R. S. TUMINARO, Parallel multigrid smoothing: Polynomial versus Gauss-Seidel, J. Comput. Phys., 188 (2003), pp. 593-610.
    • (2003) J. Comput. Phys. , vol.188 , pp. 593-610
    • Adams, M.F.1    Brezina, M.2    Hu, J.J.3    Tuminaro, R.S.4
  • 2
    • 0034386185 scopus 로고    scopus 로고
    • Multigrid in H(div) and H(curl)
    • D. N. ARNOLD, R. S. FALK, AND R. WINTHER, Multigrid in H(div) and H(curl), Numer. Math., 85 (2000), pp. 197-217.
    • (2000) Numer. Math. , vol.85 , pp. 197-217
    • Arnold, D.N.1    Falk, R.S.2    Winther, R.3
  • 3
    • 2342486203 scopus 로고    scopus 로고
    • Towards robust SD Z-pinch simulations: Discretization and fast solvers for magnetic diffusion in heterogeneous conductors
    • P. B. BOCHEV, J. J. HU, A. C. ROBINSON, AND R. S. TUMINARO, Towards robust SD Z-pinch simulations: Discretization and fast solvers for magnetic diffusion in heterogeneous conductors, Electron. Trans. Numer. Anal., 15 (2003), pp. 186-210.
    • (2003) Electron. Trans. Numer. Anal. , vol.15 , pp. 186-210
    • Bochev, P.B.1    Hu, J.J.2    Robinson, A.C.3    Tuminaro, R.S.4
  • 4
    • 0023165973 scopus 로고
    • A rationale for "edge-elements" in 3-D fields computations
    • A. BOSSAVIT, A rationale for "edge-elements" in 3-D fields computations, IEEE Trans. Magnetics, 24 (1988), pp. 74-79.
    • (1988) IEEE Trans. Magnetics , vol.24 , pp. 74-79
    • Bossavit, A.1
  • 6
    • 84966255975 scopus 로고
    • Convergence estimates for multigrid algorithms without regularity assumptions
    • J. BRAMBLE, J. PASCIAK, J. WANG, AND J. XU, Convergence estimates for multigrid algorithms without regularity assumptions, Math. Comp., 57 (1991), pp. 23-45.
    • (1991) Math. Comp. , vol.57 , pp. 23-45
    • Bramble, J.1    Pasciak, J.2    Wang, J.3    Xu, J.4
  • 9
    • 0003360974 scopus 로고
    • Multigrid methods and applications
    • Springer-Verlag, Berlin
    • W. HACKBUSCH, Multigrid Methods and Applications, Springer Ser. Comput. Math. 4, Springer-Verlag, Berlin, 1985.
    • (1985) Springer Ser. Comput. Math. , vol.4
    • Hackbusch, W.1
  • 10
    • 0000626839 scopus 로고    scopus 로고
    • Multigrid method for Maxwell's equations
    • R. HIPTMAIR, Multigrid method for Maxwell's equations, SIAM J. Numer. Anal., 36 (1998), pp. 204-225.
    • (1998) SIAM J. Numer. Anal. , vol.36 , pp. 204-225
    • Hiptmair, R.1
  • 11
    • 0142055288 scopus 로고    scopus 로고
    • An algebraic multigrid method for finite element discretizations with edge elements
    • S. REITZINGER AND J. SCHÖBERL, An algebraic multigrid method for finite element discretizations with edge elements, Numer. Linear Algebra Appl., 9 (2002), pp. 223-238.
    • (2002) Numer. Linear Algebra Appl. , vol.9 , pp. 223-238
    • Reitzinger, S.1    Schöberl, J.2
  • 13
    • 84862340861 scopus 로고    scopus 로고
    • Informal presentation
    • Livermore, CA
    • J. SCHÖBERL, Informal presentation, multigrid workshop, Livermore, CA, 2001.
    • (2001) Multigrid Workshop
    • Schöberl, J.1
  • 15
    • 0041034172 scopus 로고    scopus 로고
    • Convergence of algebraic multigrid based on smoothed aggregation
    • P. VANĚK, M. BREZINA, AND J. MANDEL, Convergence of algebraic multigrid based on smoothed aggregation, Numer. Math., 88 (2001), pp. 559-579.
    • (2001) Numer. Math. , vol.88 , pp. 559-579
    • Vaněk, P.1    Brezina, M.2    Mandel, J.3
  • 16
    • 0030388574 scopus 로고    scopus 로고
    • Algebraic multigrid based on smoothed aggregation for second and fourth order problems
    • P. VANĚK, J. MANDEL, AND M. BREZINA, Algebraic multigrid based on smoothed aggregation for second and fourth order problems, Computing, 56 (1996), pp. 179-196.
    • (1996) Computing , vol.56 , pp. 179-196
    • Vaněk, P.1    Mandel, J.2    Brezina, M.3
  • 17
    • 0022159457 scopus 로고
    • Calculation of eddy currents in terms of H on hexahedra
    • J. S. V. WELIJ, Calculation of eddy currents in terms of H on hexahedra, IEEE Trans. Magnetics, 21 (1985), pp. 2239-2241.
    • (1985) IEEE Trans. Magnetics , vol.21 , pp. 2239-2241
    • Welij, J.S.V.1
  • 18
    • 0002999631 scopus 로고    scopus 로고
    • Fusion and the Z pinch
    • G. YONAS, Fusion and the Z pinch, Sci. Amer., 279 (1998), pp. 22-27.
    • (1998) Sci. Amer. , vol.279 , pp. 22-27
    • Yonas, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.