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Volumn 15, Issue , 2003, Pages 186-210

Towards robust 3D Z-pinch simulations: Discretization and fast solvers for magnetic diffusion in heterogeneous conductors

Author keywords

AMG; De Rham complex; Eddy currents; Finite elements; Maxwell's equations

Indexed keywords


EID: 2342486203     PISSN: 10689613     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (25)

References (29)
  • 1
    • 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
    • 0024703117 scopus 로고
    • On the use of the magnetic vector potential in the finite element analysis of threedimensional eddy currents
    • O. BIRO AND K. PREIS, On the use of the magnetic vector potential in the finite element analysis of threedimensional eddy currents, IEEE Transactions on Magnetics, 25 (1989), pp. 3145-3159.
    • (1989) IEEE Transactions on Magnetics , vol.25 , pp. 3145-3159
    • Biro, O.1    Preis, K.2
  • 4
    • 0025400091 scopus 로고
    • Finite element analysis of 3-D eddy currents
    • O. BIRO AND K. PREIS, Finite element analysis of 3-D eddy currents, IEEE Transactions on Magnetics, 26 (1990), pp. 418-423.
    • (1990) IEEE Transactions on Magnetics , vol.26 , pp. 418-423
    • Biro, O.1    Preis, K.2
  • 5
    • 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 Transactions on Magnetics, 24 (1988), pp. 74-79.
    • (1988) IEEE Transactions on Magnetics , vol.24 , pp. 74-79
    • Bossavit, A.1
  • 7
    • 0019540439 scopus 로고
    • A mixed fem-biem method to solve 3-d eddy current problems
    • A. BOSSAVIT AND J. VERITE, A mixed fem-biem method to solve 3-d eddy current problems, IEEE Transactions on Magnetics, MAG-18 (1982), pp. 431-435.
    • (1982) IEEE Transactions on Magnetics , vol.MAG-18 , pp. 431-435
    • Bossavit, A.1    Verite, J.2
  • 12
    • 0025403237 scopus 로고
    • A comparison of Lorentz gauge formulations in eddy current computations
    • C. F. BRYANT, C. R. I. EMSON, AND C. W. TROWBRIDGE, A comparison of Lorentz gauge formulations in eddy current computations, IEEE Transactions on Magnetics, 26 (1990), pp. 430-433.
    • (1990) IEEE Transactions on Magnetics , vol.26 , pp. 430-433
    • Bryant, C.F.1    Emson, C.R.I.2    Trowbridge, C.W.3
  • 13
    • 0025488855 scopus 로고
    • A general purpose 3-d formulation for eddy currents using the Lorentz gauge
    • _, A general purpose 3-d formulation for eddy currents using the Lorentz gauge, IEEE Transactions on Magnetics, 26 (1990), pp. 2373-2375.
    • (1990) IEEE Transactions on Magnetics , vol.26 , pp. 2373-2375
  • 16
    • 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
  • 18
    • 34250103285 scopus 로고
    • 3
    • 3, Numerische Mathematik, 50 (1986), pp. 57-81.
    • (1986) Numerische Mathematik , vol.50 , pp. 57-81
  • 21
    • 0031356042 scopus 로고    scopus 로고
    • Recent progress in ALEGRA development and application to ballistic impacts
    • R. M. SUMMERS, J. S. PEERY, M. W. WONG ET AL., Recent progress in ALEGRA development and application to ballistic impacts, Int. J. Impact Engng., 20 (1997), pp. 779-788.
    • (1997) Int. J. Impact Engng. , vol.20 , pp. 779-788
    • Summers, R.M.1    Peery, J.S.2    Wong, M.W.3
  • 24
    • 2942526684 scopus 로고    scopus 로고
    • Parallel smoothed aggregation multigrid: Aggregation strategies on massively parallel machines
    • J. Donnelley, ed.
    • R. TUMINARO AND C. TONG, Parallel smoothed aggregation multigrid: Aggregation strategies on massively parallel machines, in SuperComputing 2000 Proceedings, J. Donnelley, ed., 2000.
    • (2000) SuperComputing 2000 Proceedings
    • Tuminaro, R.1    Tong, C.2
  • 26
    • 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
  • 27
    • 21144466078 scopus 로고
    • Multilevel iterative methods for mixed finite element discretizations of elliptic problems
    • P. VASSILEVSKI AND J. WANG, Multilevel iterative methods for mixed finite element discretizations of elliptic problems, Numer. Math., 63 (1992), pp. 503-520.
    • (1992) Numer. Math. , vol.63 , pp. 503-520
    • Vassilevski, P.1    Wang, J.2
  • 28
    • 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 Transactions on Magnetics, MAG-21 (1985), pp. 2239-2241.
    • (1985) IEEE Transactions on Magnetics , vol.MAG-21 , pp. 2239-2241
    • Welij, J.S.V.1
  • 29
    • 0002999631 scopus 로고    scopus 로고
    • Fusion and the Z pinch
    • G. YONAS, Fusion and the Z pinch, Scientific American, 279 (1998), pp. 22-27.
    • (1998) Scientific American , vol.279 , pp. 22-27
    • Yonas, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.