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Volumn 13, Issue 4, 2005, Pages 237-263

A least-squares approximation method for the time-harmonic Maxwell equations

Author keywords

Div curl systems; Finite element approximation; Maxwell eigenvalues; Maxwell's equations; Negative norm least squares

Indexed keywords

DIV-CURL SYSTEMS; FINITE ELEMENT APPROXIMATION; MAXWELL EIGENVALUES; NEGATIVE-NORM LEAST SQUARES;

EID: 29744464744     PISSN: 15702820     EISSN: None     Source Type: Journal    
DOI: 10.1163/156939505775248347     Document Type: Article
Times cited : (24)

References (29)
  • 2
    • 0032097489 scopus 로고    scopus 로고
    • Vector potentials in three-dimensional non-smooth domains
    • C. Amrouche, C. Bernardi, M. Dauge, and V. Girault, Vector potentials in three-dimensional non-smooth domains. Math. Meth. Appl. Sci. (1998) 21, No.9, 823-864.
    • (1998) Math. Meth. Appl. Sci. , vol.21 , Issue.9 , pp. 823-864
    • Amrouche, C.1    Bernardi, C.2    Dauge, M.3    Girault, V.4
  • 3
    • 18344415499 scopus 로고    scopus 로고
    • The mortar method for the Maxwell's equations in 3D
    • F. Ben Belgacem, A. Buffa, and Y. Maday, The mortar method for the Maxwell's equations in 3D. C.R. Acad. Sci. Paris (1999) 329, 903 -908.
    • (1999) C.R. Acad. Sci. Paris , vol.329 , pp. 903-908
    • Belgacem, F.B.1    Buffa, A.2    Maday, Y.3
  • 4
    • 29744469302 scopus 로고    scopus 로고
    • The approximation of the Maxwell eigenvalue problem using a least-squares method
    • to appear
    • J. H. Bramble, T. V. Kolev, and J. E. Pasciak, The approximation of the Maxwell eigenvalue problem using a least-squares method. Math. Comp. (2004) (to appear).
    • (2004) Math. Comp.
    • Bramble, J.H.1    Kolev, T.V.2    Pasciak, J.E.3
  • 5
    • 5644290865 scopus 로고    scopus 로고
    • A new approximation technique for div-curl systems
    • J. H. Bramble and J. E. Pasciak, A new approximation technique for div-curl systems. Math. Comp. (2004) 73, No. 248, 1739-1762.
    • (2004) Math. Comp. , vol.73 , Issue.248 , pp. 1739-1762
    • Bramble, J.H.1    Pasciak, J.E.2
  • 7
    • 84988168833 scopus 로고
    • A remark on the regularity of solutions of Maxwell's equations on Lipschitz domains
    • M. Costabel, A remark on the regularity of solutions of Maxwell's equations on Lipschitz domains. MMAS (1990) 12, 365-368.
    • (1990) MMAS , vol.12 , pp. 365-368
    • Costabel, M.1
  • 8
    • 0000152459 scopus 로고
    • A coercive bilinear form for Maxwell's equations
    • M. Costabel, A coercive bilinear form for Maxwell's equations. J. Math. Anal. Appl. (1991) 157, No. 2, 527-541.
    • (1991) J. Math. Anal. Appl. , vol.157 , Issue.2 , pp. 527-541
    • Costabel, M.1
  • 9
    • 0033078434 scopus 로고    scopus 로고
    • Maxwell and Lamé eigenvalues on polyhedra
    • M. Costabel and M. Dauge, Maxwell and Lamé eigenvalues on polyhedra. Math. Meth. Appl. Sci. (1999) 22, No. 3, 243-258.
    • (1999) Math. Meth. Appl. Sci. , vol.22 , Issue.3 , pp. 243-258
    • Costabel, M.1    Dauge, M.2
  • 10
    • 0033414918 scopus 로고    scopus 로고
    • Singularities of Maxwell interface problems
    • M. Costabel, M. Dauge, and S.Nicaise, Singularities of Maxwell interface problems. Modél. Math. Anal. Numér. (1999) 33, No. 3, 627-649.
    • (1999) Modél. Math. Anal. Numér , vol.33 , Issue.3 , pp. 627-649
    • Costabel, M.1    Dauge, M.2    Nicaise, S.3
  • 12
    • 0031699492 scopus 로고    scopus 로고
    • Modeling of electromagnetic absorption/scattering problems using hp-adaptive finite elements
    • L. Demkowicz and L. Vardapetyan, Modeling of electromagnetic absorption/scattering problems using hp-adaptive finite elements. Comp. Meth. Appl. Mech. Engrg. (1998) 152, 103-124.
    • (1998) Comp. Meth. Appl. Mech. Engrg. , vol.152 , pp. 103-124
    • Demkowicz, L.1    Vardapetyan, L.2
  • 13
    • 0011982241 scopus 로고    scopus 로고
    • A singular field method for the solution of Maxwell's equations in polyhedral domains
    • A.-S. B. Dhia, C. Hazard, and S. Lohrengel, A singular field method for the solution of Maxwell's equations in polyhedral domains. SIAM J. Appl. Math. (1999) 59, No. 6, 2028-2044.
    • (1999) SIAM J. Appl. Math. , vol.59 , Issue.6 , pp. 2028-2044
    • Dhia, A.-S.B.1    Hazard, C.2    Lohrengel, S.3
  • 15
    • 0037235337 scopus 로고    scopus 로고
    • Overlapping Schwarz preconditioners for indefinite time harmonic Maxwell equations
    • J. Gopalakrishnan and J. E. Pasciak, Overlapping Schwarz preconditioners for indefinite time harmonic Maxwell equations. Math. Comp. (2003) 72, No. 241, 1 - 15.
    • (2003) Math. Comp. , vol.72 , Issue.241 , pp. 1-15
    • Gopalakrishnan, J.1    Pasciak, J.E.2
  • 16
    • 0000626839 scopus 로고    scopus 로고
    • Multigrid method for Maxwell's equations
    • R. Hiptmair, Multigrid method for Maxwell's equations. SIAM J. Numer. Anal. (1999) 36, No. 1, 204-225.
    • (1999) SIAM J. Numer. Anal. , vol.36 , Issue.1 , pp. 204-225
    • Hiptmair, R.1
  • 19
    • 0033693515 scopus 로고    scopus 로고
    • First-order system least-squares for the Helmholtz equation
    • B. Lee, T. A. Manteuffel, S. F. McCormick, and J. Ruge, First-order system least-squares for the Helmholtz equation. SIAM J. Sci. Comp. (2000) 21, No. 5, 1927-1949.
    • (2000) SIAM J. Sci. Comp. , vol.21 , Issue.5 , pp. 1927-1949
    • Lee, B.1    Manteuffel, T.A.2    McCormick, S.F.3    Ruge, J.4
  • 23
    • 0037073023 scopus 로고    scopus 로고
    • Stabilized interior penalty methods for the time-harmonic Maxwell equations
    • I. Perugia, D. Schötzau, and P. Monk, Stabilized interior penalty methods for the time-harmonic Maxwell equations. Comp. Meth. Appl. Mech. Engrg. (2002) 191, 4675-4697.
    • (2002) Comp. Meth. Appl. Mech. Engrg. , vol.191 , pp. 4675-4697
    • Perugia, I.1    Schötzau, D.2    Monk, P.3
  • 24
    • 0004593401 scopus 로고
    • On an inequality of Friedrichs
    • J. Saranen, On an inequality of Friedrichs. Math. Scand. (1982) 51, 310-322.
    • (1982) Math. Scand. , vol.51 , pp. 310-322
    • Saranen, J.1
  • 25
    • 84966200902 scopus 로고
    • Finite element interpolation of nonsmooth functions satisfying boundary conditions
    • L. R. Scott and S. Zhang, Finite element interpolation of nonsmooth functions satisfying boundary conditions. Math. Comp. (1990) 54, No. 190, 483-493.
    • (1990) Math. Comp. , vol.54 , Issue.190 , pp. 483-493
    • Scott, L.R.1    Zhang, S.2
  • 26
    • 0011956755 scopus 로고    scopus 로고
    • Overlapping Schwarz methods for Maxwell's equations in three dimensions
    • Courant Institute of Mathematical Sciences, New York
    • A. Toselli, Overlapping Schwarz methods for Maxwell's equations in three dimensions. Tech. Report No. 736, Courant Institute of Mathematical Sciences, New York, 1997.
    • (1997) Tech. Report No. 736 , vol.736
    • Toselli, A.1
  • 29
    • 0033904942 scopus 로고    scopus 로고
    • A parallel finite-element tearing and interconnecting algorithm for solution of the vector wave equation with PML absorbing medium
    • C. Wolfe, U. Navsariwala, and S. Gedney, A parallel finite-element tearing and interconnecting algorithm for solution of the vector wave equation with PML absorbing medium. IEEE Transactions on Antennas and Propagation (2000) 47, 278-284.
    • (2000) IEEE Transactions on Antennas and Propagation , vol.47 , pp. 278-284
    • Wolfe, C.1    Navsariwala, U.2    Gedney, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.