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Volumn 86, Issue 4, 2000, Pages 733-752

Overlapping Schwarz methods for Maxwell's equations in three dimensions

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EID: 0034365926     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005417     Document Type: Article
Times cited : (63)

References (34)
  • 1
    • 0033461714 scopus 로고    scopus 로고
    • An optimal domain decomposition preconditioner for low-frequency time-harmonic Maxwell equations
    • Alonso, A., Valli, A. (1999): An optimal domain decomposition preconditioner for low-frequency time-harmonic Maxwell equations. Math. Comp. 68(226), 607-631
    • (1999) Math. Comp. , vol.68 , Issue.226 , pp. 607-631
    • Alonso, A.1    Valli, A.2
  • 3
    • 0041073868 scopus 로고    scopus 로고
    • Multigrid preconditioning in H(div) on non-convex polygons
    • Arnold, D.N., Falk, R.S., Winther, R. (1998): Multigrid preconditioning in H(div) on non-convex polygons. Comput. and Appl. Math. 17 (no 3), 303-3015
    • (1998) Comput. and Appl. Math. , vol.17 , Issue.3 , pp. 303-3015
    • Arnold, D.N.1    Falk, R.S.2    Winther, R.3
  • 4
    • 0031536737 scopus 로고    scopus 로고
    • Preconditioning in H(div) and applications
    • Arnold, D.N., Falk, R.S., Winther, R. (1997): Preconditioning in H(div) and applications. Math. Comp. 66, 957-984
    • (1997) Math. Comp. , vol.66 , pp. 957-984
    • Arnold, D.N.1    Falk, R.S.2    Winther, R.3
  • 7
    • 0039526857 scopus 로고    scopus 로고
    • Spectral element discretization of the Maxwell equations
    • Belgacem, F.B., Bernardi, C. (1999): Spectral element discretization of the Maxwell equations. Math. Comp. 68, 1497-1520
    • (1999) Math. Comp. , vol.68 , pp. 1497-1520
    • Belgacem, F.B.1    Bernardi, C.2
  • 8
    • 0033076516 scopus 로고    scopus 로고
    • Edge element formulations of eddy current problems
    • Bíró, O. (1999): Edge element formulations of eddy current problems. Comput. Meth. in Appl. Mech. and Eng. 169, 391-405
    • (1999) Comput. Meth. in Appl. Mech. and Eng. , vol.169 , pp. 391-405
    • Bíró, O.1
  • 9
    • 0003247786 scopus 로고
    • Electromagnétisme, en vue de la modélisation
    • Springer-Verlag France, Paris
    • Bossavit, A. (1993): Electromagnétisme, en vue de la modélisation. Mathèmatiques & Applications. Springer-Verlag France, Paris
    • (1993) Mathèmatiques & Applications
    • Bossavit, A.1
  • 10
    • 84966234195 scopus 로고
    • Parallel multilevel preconditioners
    • Bramble, J.H., Pasciak, J.E., Xu, J. (1990): Parallel multilevel preconditioners. Math. Comp. 55, 1-22
    • (1990) Math. Comp. , vol.55 , pp. 1-22
    • Bramble, J.H.1    Pasciak, J.E.2    Xu, J.3
  • 12
    • 0040843328 scopus 로고    scopus 로고
    • Fully discrete finite element approaches for time-dependent Maxwell equations
    • Ciarlet, Jr.P., Zou, J. (1999): Fully discrete finite element approaches for time-dependent Maxwell equations. Numer. Math. 82, 193-219
    • (1999) Numer. Math. , vol.82 , pp. 193-219
    • Ciarlet Jr., P.1    Zou, J.2
  • 14
    • 0001159513 scopus 로고
    • Domain decomposition algorithms with small overlap
    • Dryja, M., Widlund, O.B. (1994): Domain decomposition algorithms with small overlap. SIAM J. Sci. Comput. 15(3), 604-620
    • (1994) SIAM J. Sci. Comput. , vol.15 , Issue.3 , pp. 604-620
    • Dryja, M.1    Widlund, O.B.2
  • 17
    • 0000626839 scopus 로고    scopus 로고
    • Multigrid method for Maxwell's equations
    • Hiptmair, R. (1999): Multigrid method for Maxwell's equations. Siam J. Numer. Anal. 36, 204-225
    • (1999) Siam J. Numer. Anal. , vol.36 , pp. 204-225
    • Hiptmair, R.1
  • 19
    • 0038077123 scopus 로고    scopus 로고
    • Multilevel methods for mixed finite elements in three dimensions
    • Hiptmair, R., Hoppe, R.H.W. (1999): Multilevel methods for mixed finite elements in three dimensions. Numer. Math. 82, 253-279
    • (1999) Numer. Math. , vol.82 , pp. 253-279
    • Hiptmair, R.1    Hoppe, R.H.W.2
  • 21
    • 0000442554 scopus 로고
    • Mixed formulations for finite element analysis of magnetostatic and electrostatic problems
    • Kikuchi, F. (1987): Mixed formulations for finite element analysis of magnetostatic and electrostatic problems. Japan J. Appl. Math. 6(2), 209-221
    • (1987) Japan J. Appl. Math. , vol.6 , Issue.2 , pp. 209-221
    • Kikuchi, F.1
  • 23
    • 0026881062 scopus 로고
    • Analysis of a finite element method for Maxwell's equations
    • Monk, P. (1992): Analysis of a finite element method for Maxwell's equations. SIAM J. Numer. Anal. 19(3), 714-729
    • (1992) SIAM J. Numer. Anal. , vol.19 , Issue.3 , pp. 714-729
    • Monk, P.1
  • 24
    • 0002910232 scopus 로고
    • An analysis of Nédélec's method for the spatial discretization of Maxwell's equations
    • Monk, P. (1993): An analysis of Nédélec's method for the spatial discretization of Maxwell's equations. J. Comp. Appl. Math. 47, 101-102
    • (1993) J. Comp. Appl. Math. , vol.47 , pp. 101-102
    • Monk, P.1
  • 27
    • 0001390840 scopus 로고
    • Capacitance matrix methods for the Helmholtz equation on general three dimensional regions
    • O'Leary, D.P., Widlund, O.B. (1979): Capacitance matrix methods for the Helmholtz equation on general three dimensional regions. Math. Comp. 33, 849-879
    • (1979) Math. Comp. , vol.33 , pp. 849-879
    • O'Leary, D.P.1    Widlund, O.B.2
  • 31
    • 0003715556 scopus 로고    scopus 로고
    • PhD thesis, Courant Institute of Mathematical Sciences, May Technical Report 785, Department of Computer Science, Courant Institute of Mathematical Sciences, New York University
    • Toselli, A. Domain decomposition methods for vector field problems. PhD thesis, Courant Institute of Mathematical Sciences, May 1999. Technical Report 785, Department of Computer Science, Courant Institute of Mathematical Sciences, New York University.
    • (1999) Domain Decomposition Methods for Vector Field Problems
    • Toselli, A.1
  • 32
    • 0042328660 scopus 로고    scopus 로고
    • An iterative substructuring method for Maxwell's equations in two dimensions
    • Technical Report 768, Department of Computer Science, Courant Institute To appear
    • Toselli, A., Widlund, O.B., Wohlmuth, B.I. (1998): An iterative substructuring method for Maxwell's equations in two dimensions. Technical Report 768, Department of Computer Science, Courant Institute To appear in Math. Comput.
    • (1998) Math. Comput.
    • Toselli, A.1    Widlund, O.B.2    Wohlmuth, B.I.3
  • 33
    • 3042663202 scopus 로고    scopus 로고
    • An iterative substructuring method for Raviart-Thomas vector fields in three dimensions
    • Technical Report 775, Department of Computer Science, Courant Institute To appear
    • Wohlmuth, B.I., Toselli, A., Widlund, O.B. (1998): An iterative substructuring method for Raviart-Thomas vector fields in three dimensions. Technical Report 775, Department of Computer Science, Courant Institute To appear in SIAM J. Numer. Anal.
    • (1998) SIAM J. Numer. Anal.
    • Wohlmuth, B.I.1    Toselli, A.2    Widlund, O.B.3
  • 34
    • 0000570696 scopus 로고
    • Iterative methods by space decomposition and subspace correction
    • Xu, J. (1992): Iterative methods by space decomposition and subspace correction. SIAM Review 34(4), 581-613
    • (1992) SIAM Review , vol.34 , Issue.4 , pp. 581-613
    • Xu, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.