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Volumn 195, Issue 25-28, 2006, Pages 3205-3223

The role of the penalty in the local discontinuous Galerkin method for Maxwell's eigenvalue problem

Author keywords

Discontinuous Galerkin; Maxwell's eigenvalue problem; Spurious modes

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL OPERATORS; MAXWELL EQUATIONS;

EID: 33645942780     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2005.06.011     Document Type: Article
Times cited : (61)

References (25)
  • 1
    • 3042815770 scopus 로고    scopus 로고
    • Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
    • Ainsworth M. Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods. J. Comput. Phys. 198 (2004) 106-130
    • (2004) J. Comput. Phys. , vol.198 , pp. 106-130
    • Ainsworth, M.1
  • 2
    • 0348044407 scopus 로고    scopus 로고
    • Hierarchic finite element bases on unstructured tetrahedral meshes
    • Ainsworth M., and Coyle J. Hierarchic finite element bases on unstructured tetrahedral meshes. Int. J. Numer. Methods Engrg. 58 14 (2003) 2103-2130
    • (2003) Int. J. Numer. Methods Engrg. , vol.58 , Issue.14 , pp. 2103-2130
    • Ainsworth, M.1    Coyle, J.2
  • 3
    • 0023165973 scopus 로고
    • A rationale for 'edge-elements' in 3-D fields computations
    • Bossavit A. A rationale for 'edge-elements' in 3-D fields computations. IEEE Trans. Magnetics 24 (1988) 74-79
    • (1988) IEEE Trans. Magnetics , vol.24 , pp. 74-79
    • Bossavit, A.1
  • 4
    • 0025399769 scopus 로고
    • Solving Maxwell equations in a closed cavity, and the question of 'spurious modes'
    • Bossavit A. Solving Maxwell equations in a closed cavity, and the question of 'spurious modes'. IEEE Trans. Magnetics 26 (1990) 702-705
    • (1990) IEEE Trans. Magnetics , vol.26 , pp. 702-705
    • Bossavit, A.1
  • 5
    • 0344393366 scopus 로고    scopus 로고
    • The local discontinuous Galerkin method for time-dependent advection-diffusion systems
    • Cockburn B., and Shu C.W. The local discontinuous Galerkin method for time-dependent advection-diffusion systems. SIAM J. Numer. Anal. 35 (1998) 2440-2463
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 2440-2463
    • Cockburn, B.1    Shu, C.W.2
  • 6
    • 0026371189 scopus 로고
    • Spectral methods on triangles and other domains
    • Dubiner M. Spectral methods on triangles and other domains. J. Sci. Comput. 6 (1991) 345-390
    • (1991) J. Sci. Comput. , vol.6 , pp. 345-390
    • Dubiner, M.1
  • 7
    • 0037262029 scopus 로고    scopus 로고
    • Discontinuous Galerkin and the Crouzeix-Raviart element: application to elasticity
    • Hansbo P., and Larson M.G. Discontinuous Galerkin and the Crouzeix-Raviart element: application to elasticity. Math. Modell. Numer. Anal. 37 (2003) 63-72
    • (2003) Math. Modell. Numer. Anal. , vol.37 , pp. 63-72
    • Hansbo, P.1    Larson, M.G.2
  • 8
    • 0000185847 scopus 로고    scopus 로고
    • From electrostatics to almost optimal nodal sets for polynomial interpolation in a simplex
    • Hesthaven J.S. From electrostatics to almost optimal nodal sets for polynomial interpolation in a simplex. SIAM J. Numer. Anal. 35 (1998) 655-676
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 655-676
    • Hesthaven, J.S.1
  • 9
    • 0034503732 scopus 로고    scopus 로고
    • Stable spectral methods on tetrahedral elements
    • Hesthaven J.S., and Teng C.H. Stable spectral methods on tetrahedral elements. SIAM J. Sci. Comput. 21 (2000) 2352-2380
    • (2000) SIAM J. Sci. Comput. , vol.21 , pp. 2352-2380
    • Hesthaven, J.S.1    Teng, C.H.2
  • 10
    • 0036740992 scopus 로고    scopus 로고
    • High-order nodal methods on unstructured grids. I: Time-domain solution of Maxwell's equations
    • Hesthaven J.S., and Warburton T. High-order nodal methods on unstructured grids. I: Time-domain solution of Maxwell's equations. J. Comput. Phys. 181 (2002) 186-221
    • (2002) J. Comput. Phys. , vol.181 , pp. 186-221
    • Hesthaven, J.S.1    Warburton, T.2
  • 11
    • 1642320193 scopus 로고    scopus 로고
    • High-order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem
    • Hesthaven J.S., and Warburton T. High-order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem. Philos. Trans. Roy. Soc. London A 362 (2004) 493-524
    • (2004) Philos. Trans. Roy. Soc. London A , vol.362 , pp. 493-524
    • Hesthaven, J.S.1    Warburton, T.2
  • 13
    • 33645952900 scopus 로고    scopus 로고
    • P. Houston, I. Perugia, A. Schneebeli, D. Schötzau, Interior penalty method for the indefinite time-harmonic Maxwell equations, Technical Report PIMS Research Report 03-15, University of British Columbia, 2003.
  • 14
    • 17444426685 scopus 로고    scopus 로고
    • Mixed discontinuous Galerkin approximation of the Maxwell operator: non-stabilized formulation
    • Houston P., Perugia I., and Schötzau D. Mixed discontinuous Galerkin approximation of the Maxwell operator: non-stabilized formulation. J. Sci. Comput. 22-23 (2005) 315-346
    • (2005) J. Sci. Comput. , vol.22-23 , pp. 315-346
    • Houston, P.1    Perugia, I.2    Schötzau, D.3
  • 16
    • 0002095317 scopus 로고
    • Two-variable analogues of the classical orthogonal polynomials
    • Askey R.A. (Ed), Academic Press, New York
    • Koornwinder T. Two-variable analogues of the classical orthogonal polynomials. In: Askey R.A. (Ed). Theory and Application of Special Functions (1975), Academic Press, New York
    • (1975) Theory and Application of Special Functions
    • Koornwinder, T.1
  • 20
    • 0026121692 scopus 로고
    • Elimination of vector parasites in finite element Maxwell solutions
    • Paulsen K.D., and Lynch D.R. Elimination of vector parasites in finite element Maxwell solutions. IEEE Trans. Microwave Theor. Technol. 39 (1991) 395-404
    • (1991) IEEE Trans. Microwave Theor. Technol. , vol.39 , pp. 395-404
    • Paulsen, K.D.1    Lynch, D.R.2
  • 21
    • 0037791984 scopus 로고    scopus 로고
    • The hp-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell's equations
    • Perugia I., and Schötzau D. The hp-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell's equations. Math. Comput. 72 (2003) 1179-1214
    • (2003) Math. Comput. , vol.72 , pp. 1179-1214
    • Perugia, I.1    Schötzau, D.2
  • 22
    • 0001655705 scopus 로고
    • Sur une famille de polynomes à deux variables orthogonaux dans un triangle
    • Proriol J. Sur une famille de polynomes à deux variables orthogonaux dans un triangle. C.R. Acad. Sci. Paris 257 (1957) 2459-2461
    • (1957) C.R. Acad. Sci. Paris , vol.257 , pp. 2459-2461
    • Proriol, J.1
  • 25
    • 33645913458 scopus 로고    scopus 로고
    • T.C. Warburton, S.J. Sherwin, G.E. Karniadakis, Unstructured hp/spectral elements: connectivity and optimal ordering, in: Proceedings of the International Conference on Computational Engineering Science, 1995.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.