메뉴 건너뛰기




Volumn 35, Issue 2, 2001, Pages 331-354

Spurious-free approximations of electromagnetic eigenproblems by means of Nedelec-type elements

Author keywords

Convergence; Discontinuous material properties; Discrete compactness; Electromagnetic eigenproblems; Galerkin finite element approximations; Mixed boundary conditions; New families of edge elements; Spurious modes; Symmetry exploitation

Indexed keywords


EID: 0035627702     PISSN: 0764583X     EISSN: None     Source Type: Journal    
DOI: 10.1051/m2an:2001118     Document Type: Article
Times cited : (29)

References (36)
  • 2
    • 0001654136 scopus 로고
    • New vector finite elements for three-dimensional magnetic field computation
    • M.L. Barton and Z. J. Cendes, New vector finite elements for three-dimensional magnetic field computation. J. Appl. Phys. 61 (1987) 3919-3921.
    • (1987) J. Appl. Phys. , vol.61 , pp. 3919-3921
    • Barton, M.L.1    Cendes, Z.J.2
  • 3
    • 0002593092 scopus 로고
    • Mathematical analysis of a finite element method without spurious solutions for computation of dielectric waveguides
    • A. Bermudez and D.G. Pedreira, Mathematical analysis of a finite element method without spurious solutions for computation of dielectric waveguides. Numer. Math. 61 (1992) 39-57.
    • (1992) Numer. Math. , vol.61 , pp. 39-57
    • Bermudez, A.1    Pedreira, D.G.2
  • 4
    • 0034556469 scopus 로고    scopus 로고
    • Fortin operator and discrete compactness for edge elements
    • DOI 10.1007/s002110000182
    • D. Boffi, Fortin operator and discrete compactness for edge elements. Numer. Math. 86 (2000). DOI 10.1007/s002110000182.
    • (2000) Numer. Math. , vol.86
    • Boffi, D.1
  • 6
    • 0040136904 scopus 로고    scopus 로고
    • D. Boffi, A note on the discrete compactness property and the de Rham complex. Technical Report AM188, Department of Mathematics, Penn State University, 1999. Appl. Math. Lett. 14 (2001) 33-38.
    • (2001) Appl. Math. Lett. , vol.14 , pp. 33-38
  • 7
    • 0000807589 scopus 로고    scopus 로고
    • Computational models of electromagnetic resonators: Analysis of edge element approximation
    • D. Boffi, P. Fernandes, L. Gastaldi and I. Perugia, Computational models of electromagnetic resonators: analysis of edge element approximation. SIAM J. Numer. Anal. 36 (1999) 1264-1290.
    • (1999) SIAM J. Numer. Anal. , vol.36 , pp. 1264-1290
    • Boffi, D.1    Fernandes, P.2    Gastaldi, L.3    Perugia, I.4
  • 8
    • 0024104484 scopus 로고
    • Whitney forms: A class of finite elements for three-dimensional computations in electromagnetism
    • A. Bossavit, Whitney forms: a class of finite elements for three-dimensional computations in electromagnetism. IEE Proceedings, part A 135 (1988) 493-500.
    • (1988) IEE Proceedings, Part A , vol.135 , pp. 493-500
    • Bossavit, A.1
  • 9
    • 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. Magnet. 24 (1988) 74-79.
    • (1988) IEEE Trans. Magnet. , vol.24 , pp. 74-79
    • Bossavit, A.1
  • 10
    • 0025399769 scopus 로고
    • Solving maxwell's equations in a closed cavity, and the question of 'spurious modes'
    • A. Bossavit, Solving maxwell's equations in a closed cavity, and the question of 'spurious modes'. IEEE Trans. Magnet. 26 (1990) 702-705.
    • (1990) IEEE Trans. Magnet. , vol.26 , pp. 702-705
    • Bossavit, A.1
  • 12
    • 0030418504 scopus 로고    scopus 로고
    • Towards a good characterization of spectrally correct finite element methods in electromagnetics
    • S. Caorsi, P. Fernandes and M. Raffetto, Towards a good characterization of spectrally correct finite element methods in electromagnetics. COMPEL 15 (1996) 21-35.
    • (1996) COMPEL , vol.15 , pp. 21-35
    • Caorsi, S.1    Fernandes, P.2    Raffetto, M.3
  • 13
    • 0031232907 scopus 로고    scopus 로고
    • Do covariant projection elements really satisfy the inclusion condition?
    • S. Caorsi, P. Fernandes and M. Raffetto, Do covariant projection elements really satisfy the inclusion condition? IEEE Trans. Microwave Theory Tech. 45 (1997) 1643-1644.
    • (1997) IEEE Trans. Microwave Theory Tech. , vol.45 , pp. 1643-1644
    • Caorsi, S.1    Fernandes, P.2    Raffetto, M.3
  • 14
    • 0034446186 scopus 로고    scopus 로고
    • On the convergence of Galerkin finite element approximations of electromagnetic eigenproblems
    • S. Caorsi, P. Fernandes and M. Raffetto, On the convergence of Galerkin finite element approximations of electromagnetic eigenproblems. SIAM J. Numer. Anal. 38 (2000) 580-607.
    • (2000) SIAM J. Numer. Anal. , vol.38 , pp. 580-607
    • Caorsi, S.1    Fernandes, P.2    Raffetto, M.3
  • 15
    • 84893344032 scopus 로고    scopus 로고
    • Characteristic conditions for spurious-free finite element approximations of electromagnetic eigenproblems
    • S. Caorsi, P. Fernandes and M. Raffetto, Characteristic conditions for spurious-free finite element approximations of electromagnetic eigenproblems, in Proceedings of ECCOMAS 2000, Barcelona, Spain (2000) 1-13.
    • (2000) Proceedings of ECCOMAS 2000, Barcelona, Spain , pp. 1-13
    • Caorsi, S.1    Fernandes, P.2    Raffetto, M.3
  • 16
    • 0014910747 scopus 로고
    • Numerical solution of dielectric loaded waveguides: I-finite-element analysis
    • Z.J. Cendes and P.P. Silvester, Numerical solution of dielectric loaded waveguides: I-finite-element analysis. IEEE Trans. Microwave Theory Tech. 18 (1970) 1124-1131.
    • (1970) IEEE Trans. Microwave Theory Tech. , vol.18 , pp. 1124-1131
    • Cendes, Z.J.1    Silvester, P.P.2
  • 18
  • 20
    • 0031533599 scopus 로고    scopus 로고
    • Magnetostatic and electrostatic problems in inhomogeneous anisotropic media with irregular boundary and mixed boundary conditions
    • P. Fernandes and G. Gilardi, Magnetostatic and electrostatic problems in inhomogeneous anisotropic media with irregular boundary and mixed boundary conditions. Math. Models Methods Appl. Sci. 7 (1997) 957-991.
    • (1997) Math. Models Methods Appl. Sci. , vol.7 , pp. 957-991
    • Fernandes, P.1    Gilardi, G.2
  • 22
    • 0024056331 scopus 로고
    • Vector finite element solution of anisotropic waveguides using novel triangular elements
    • M. Hano, Vector finite element solution of anisotropic waveguides using novel triangular elements. Electron. Com. Japan, Part 2, 71 (1988) 71-80.
    • (1988) Electron. Com. Japan, Part 2 , vol.71 , pp. 71-80
    • Hano, M.1
  • 23
    • 0020846251 scopus 로고
    • A three dimensional analysis of rf electromagnetic fields by the finite element method
    • M. Hara, T. Wada, T. Fukasawa and F. Kikuchi, A three dimensional analysis of rf electromagnetic fields by the finite element method. IEEE Trans. Magnet. 19 (1983) 2417-2420.
    • (1983) IEEE Trans. Magnet. , vol.19 , pp. 2417-2420
    • Hara, M.1    Wada, T.2    Fukasawa, T.3    Kikuchi, F.4
  • 24
    • 0038952763 scopus 로고
    • Numerical studies of the shapes of drift tubes and Linac cavities
    • H.C. Hoyt, Numerical studies of the shapes of drift tubes and Linac cavities. IEEE Trans. Nucl. Sci. 12 (1965) 153-155.
    • (1965) IEEE Trans. Nucl. Sci. , vol.12 , pp. 153-155
    • Hoyt, H.C.1
  • 26
    • 0000116089 scopus 로고
    • On a discrete compactness property for the Nedelec finite elements
    • F. Kikuchi, On a discrete compactness property for the Nedelec finite elements. J. Fac. Sci., Univ. Tokyo 36 (1989) 479-490.
    • (1989) J. Fac. Sci., Univ. Tokyo , vol.36 , pp. 479-490
    • Kikuchi, F.1
  • 28
    • 0026117467 scopus 로고
    • Covariant-projection quadrilateral elements for the analysis of waveguides with sharp edges
    • R. Miniowitz and J.P. Webb, Covariant-projection quadrilateral elements for the analysis of waveguides with sharp edges. IEEE Trans. Microwave Theory Tech. 39 (1991) 501-505.
    • (1991) IEEE Trans. Microwave Theory Tech. , vol.39 , pp. 501-505
    • Miniowitz, R.1    Webb, J.P.2
  • 33
    • 0027559257 scopus 로고
    • Curvilinear and higher order 'edge' finite elements in electromagnetic field computation
    • J.S. Wang and N. Ida, Curvilinear and higher order 'edge' finite elements in electromagnetic field computation. IEEE Trans. Magnet. 29 (1993) 1491-1494.
    • (1993) IEEE Trans. Magnet. , vol.29 , pp. 1491-1494
    • Wang, J.S.1    Ida, N.2
  • 34
    • 0024112971 scopus 로고
    • Combined finite element-modal solution of three-dimensional eddy current problems
    • S.H. Wong and Z.J. Cendes, Combined finite element-modal solution of three-dimensional eddy current problems. IEEE Trans. Magnet. 24 (1988) 2685-2687.
    • (1988) IEEE Trans. Magnet. , vol.24 , pp. 2685-2687
    • Wong, S.H.1    Cendes, Z.J.2
  • 35
    • 0033170379 scopus 로고    scopus 로고
    • Hierarchal vector basis functions of arbitrary order for triangular and tetrahedral finite elements
    • J.P. Webb, Hierarchal vector basis functions of arbitrary order for triangular and tetrahedral finite elements. IEEE Trans. Antennas Propagation 47 (1999) 1244-1253.
    • (1999) IEEE Trans. Antennas Propagation , vol.47 , pp. 1244-1253
    • Webb, J.P.1
  • 36
    • 0026259131 scopus 로고
    • Analysis of 3-D microwave resonators using covariant-projection elements
    • J.P. Webb and R. Miniowitz, Analysis of 3-D microwave resonators using covariant-projection elements. IEEE Trans. Microwave Theory Tech. 39 (1991) 1895-1899.
    • (1991) IEEE Trans. Microwave Theory Tech. , vol.39 , pp. 1895-1899
    • Webb, J.P.1    Miniowitz, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.