메뉴 건너뛰기




Volumn 24, Issue 4, 2005, Pages 1381-1401

Discontinuous Galerkin time-domain solution of Maxwell's equations on locally-refined nonconforming Cartesian grids

Author keywords

Electromagnetic radiation; Galerkin method; Numerical analysis

Indexed keywords

ELECTROMAGNETIC WAVE PROPAGATION; FUNCTIONS; GALERKIN METHODS; GEOMETRY; TIME DOMAIN ANALYSIS;

EID: 25444433326     PISSN: 03321649     EISSN: None     Source Type: Journal    
DOI: 10.1108/03321640510615670     Document Type: Article
Times cited : (29)

References (29)
  • 1
    • 3042815770 scopus 로고    scopus 로고
    • Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
    • Ainsworth, M. (2004), "Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods", J. Comput. Phys., Vol. 198, pp. 106-30.
    • (2004) J. Comput. Phys. , vol.198 , pp. 106-130
    • Ainsworth, M.1
  • 2
    • 0036339907 scopus 로고    scopus 로고
    • On the analysis of Bérenger's perfectly matched layers for Maxwell's equations
    • Bécache, E. and Joly, P. (2002), "On the analysis of Bérenger's perfectly matched layers for Maxwell's equations", RAIRO Modél Math. Anal. Numér., Vol. 36 No. 1, pp. 87-119.
    • (2002) RAIRO Modél Math. Anal. Numér. , vol.36 , Issue.1 , pp. 87-119
    • Bécache, E.1    Joly, P.2
  • 3
    • 84966215388 scopus 로고
    • Numerical analysis of the exterior boundary value problem for the time harmonic Maxwell equations by a boundary finite element method
    • Bendali, A. (1984), "Numerical analysis of the exterior boundary value problem for the time harmonic Maxwell equations by a boundary finite element method", Math. Comp., Vol. 43, pp. 29-46.
    • (1984) Math. Comp. , vol.43 , pp. 29-46
    • Bendali, A.1
  • 4
    • 0030239565 scopus 로고    scopus 로고
    • Three-dimensionnal perfectly matched layer for the absorption of electromagnetic waves
    • Berenger, J-P. (1996), "Three-dimensionnal perfectly matched layer for the absorption of electromagnetic waves", J. Comput. Phys., Vol. 127, pp. 363-79.
    • (1996) J. Comput. Phys. , vol.127 , pp. 363-379
    • Berenger, J.-P.1
  • 6
    • 25444481657 scopus 로고    scopus 로고
    • Méthode de Galerkin Discontinu pour la résolution du système de Maxwell sur des maillages localement raffinés non-conformes, mathématiques appliquées, École Nationale des Ponts et Chaussées
    • Canouet, N. (2003), Méthode de Galerkin Discontinu pour la résolution du système de Maxwell sur des maillages localement raffinés non-conformes, mathématiques appliquées, École Nationale des Ponts et Chaussées.
    • (2003)
    • Canouet, N.1
  • 8
    • 0003979117 scopus 로고    scopus 로고
    • Cockburn, B. Karniadakis, G.E. Shu, C-W. Lecture Notes in Computational Science and Engineering Springer Berlin
    • Cockburn, B., Karniadakis, G.E. and Shu, C-W. (Eds) (2000), Discontinuous Galerkin Methods. Theory, Computation and Applications, Lecture Notes in Computational Science and Engineering, Springer, Berlin, Vol. 11.
    • (2000) Discontinuous Galerkin Methods. Theory, Computation and Applications , vol.11
  • 9
    • 1442306605 scopus 로고    scopus 로고
    • Locally divergence-free discontinuous Galerkin methods for the Maxwell equations
    • Cockburn, B., Li, F. and Shu, C-W. (2004), "Locally divergence-free discontinuous Galerkin methods for the Maxwell equations", J. Comput. Phys., Vol. 194 No. 2, pp. 588-610.
    • (2004) J. Comput. Phys. , vol.194 , Issue.2 , pp. 588-610
    • Cockburn, B.1    Li, F.2    Shu, C.-W.3
  • 10
    • 0031539343 scopus 로고    scopus 로고
    • Éléments finis d'arte et condensation de masse pour les équations de Maxwell: Le cas de dimension 3
    • Elmkies, A. and Joly, P. (1997), "Éléments finis d'arte et condensation de masse pour les équations de Maxwell: le cas de dimension 3", C.R. Acad. Sci. Paris Sér. I Math., Vol. 325 No. 11, pp. 1217-22.
    • (1997) C.R. Acad. Sci. Paris Sér. i Math. , vol.325 , Issue.11 , pp. 1217-1222
    • Elmkies, A.1    Joly, P.2
  • 11
    • 30344457009 scopus 로고    scopus 로고
    • Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes
    • Fezoui, L., Lohrengel, S., Lanteri, S. and Piperno, S. (2005), "Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes", RAIRO Modél. Math. Anal. Numér (in press)..
    • (2005) RAIRO Modél. Math. Anal. Numér
    • Fezoui, L.1    Lohrengel, S.2    Lanteri, S.3    Piperno, S.4
  • 12
    • 0034503732 scopus 로고    scopus 로고
    • Stable spectral methods on tetrahedral elements
    • Hesthaven, J. and Teng, C. (2000), "Stable spectral methods on tetrahedral elements", SIAM J. Sci. Comput., Vol. 21 No. 6, pp. 2352-80.
    • (2000) SIAM J. Sci. Comput. , vol.21 , Issue.6 , pp. 2352-2380
    • Hesthaven, J.1    Teng, C.2
  • 13
    • 0036740992 scopus 로고    scopus 로고
    • Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell's equations
    • Hesthaven, J. and Warburton, T. (2002), "Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell's equations", J. Comput. Phys., Vol. 181 No. 1, pp. 186-221.
    • (2002) J. Comput. Phys. , vol.181 , Issue.1 , pp. 186-221
    • Hesthaven, J.1    Warburton, T.2
  • 14
    • 1642320193 scopus 로고    scopus 로고
    • High-order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem
    • Hesthaven, J. and Warburton, T. (2004), "High-order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem", Philos. Trans. Roy. Soc. London Ser. A, Vol. 362, pp. 493-524.
    • (2004) Philos. Trans. Roy. Soc. London Ser. A , vol.362 , pp. 493-524
    • Hesthaven, J.1    Warburton, T.2
  • 15
    • 0026254192 scopus 로고
    • Finite-volume time-domain (FVTD) techniques for em scattering
    • Holland, R., Cable, V.P. and Wilson, L.C. (1991), "Finite-volume time-domain (FVTD) techniques for EM scattering", IEEE Trans. Electromagn. Compat., Vol. 33 No. 4, pp. 281-94.
    • (1991) IEEE Trans. Electromagn. Compat. , vol.33 , Issue.4 , pp. 281-294
    • Holland, R.1    Cable, V.P.2    Wilson, L.C.3
  • 16
    • 0000397429 scopus 로고    scopus 로고
    • Mimetic discretizations for Maxwell's equations
    • Hyman, J.M. and Shashkov, M. (1999), "Mimetic discretizations for Maxwell's equations", J. Comput Phys., Vol. 151, pp. 881-909.
    • (1999) J. Comput Phys. , vol.151 , pp. 881-909
    • Hyman, J.M.1    Shashkov, M.2
  • 17
    • 0010732943 scopus 로고    scopus 로고
    • A new second order 3D edge element on tetrahedra for time dependent Maxwell's equations
    • Bermudez, A. Gomez, D. Hazard, C. Joly, P. Roberts, J-E. SIAM, Santiago de Compostella
    • Joly, P. and Poirier, C. (2000), "A new second order 3D edge element on tetrahedra for time dependent Maxwell's equations", in Bermudez, A., Gomez, D., Hazard, C., Joly, P. and Roberts, J-E. (Eds), Proceedings of the Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation, SIAM, Santiago de Compostella, pp. 842-7.
    • (2000) Proceedings of the Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation , pp. 842-847
    • Joly, P.1    Poirier, C.2
  • 18
    • 0000451291 scopus 로고    scopus 로고
    • Discontinuous spectral element approximation of Maxwell's equations
    • Cockburn, B. Karniadakis, G.E. Shu, C-W. Lecture Notes in Computational Science and Engineering Springer Berlin
    • Kopriva, D.A., Woodruff, S.L. and Hussaini, M.Y. (2000), "Discontinuous spectral element approximation of Maxwell's equations", in Cockburn, B., Karniadakis, G.E. and Shu, C-W. (Eds), Discontinuous Galerkin Methods. Theory, Computation and Applications, Lecture Notes in Computational Science and Engineering, Springer, Berlin, Vol. 11, pp. 355-62.
    • (2000) Discontinuous Galerkin Methods. Theory, Computation and Applications , vol.11 , pp. 355-362
    • Kopriva, D.A.1    Woodruff, S.L.2    Hussaini, M.Y.3
  • 19
    • 0029309074 scopus 로고
    • Whitney elements time domain (WETD) methods
    • Lee, J-F. and Sacks, Z. (1995), "Whitney elements time domain (WETD) methods", IEEE Trans. Magn., Vol. 31 No. 3, pp. 1325-9.
    • (1995) IEEE Trans. Magn. , vol.31 , Issue.3 , pp. 1325-1329
    • Lee, J.-F.1    Sacks, Z.2
  • 20
    • 25444478417 scopus 로고    scopus 로고
    • A FV Scheme for Maxwell's equations: Convergence analysis on unstructured meshes
    • Herbin, R. Krner, D. Hermes Penton Science London, Porquerolles
    • Lohrengel, S. and Remaki, M. (2002), "A FV Scheme for Maxwell's equations: convergence analysis on unstructured meshes", in Herbin, R. and Krner, D. (Eds), Finite Volumes for Complex Applications III, Hermes Penton Science, London, Porquerolles, pp. 219-26.
    • (2002) Finite Volumes for Complex Applications III , pp. 219-226
    • Lohrengel, S.1    Remaki, M.2
  • 23
    • 0036556372 scopus 로고    scopus 로고
    • A non-diffusive finite volume scheme for the 3D Maxwell equations on unstructured meshes
    • Piperno, S., Remaki, M. and Fezoui, L. (2002), "A non-diffusive finite volume scheme for the 3D Maxwell equations on unstructured meshes", SIAM J. Numer. Anal., Vol. 39 No. 6, pp. 2089-108.
    • (2002) SIAM J. Numer. Anal. , vol.39 , Issue.6 , pp. 2089-2108
    • Piperno, S.1    Remaki, M.2    Fezoui, L.3
  • 25
    • 0346425022 scopus 로고    scopus 로고
    • A new finite volume scheme for solving Maxwell's system
    • Remaki, M. (2000), "A new finite volume scheme for solving Maxwell's system", COMPEL, Vol. 19 No. 3, pp. 913-31.
    • (2000) COMPEL , vol.19 , Issue.3 , pp. 913-931
    • Remaki, M.1
  • 27
    • 0005683767 scopus 로고    scopus 로고
    • Application of the discontinuous Galerkin method to Maxwell's equations using unstructured polymorphic hp-finite elements
    • Cockburn, B. Karniadakis, G.E. Shu, C-W. Lecture Notes in Computational Science and Engineering Springer Berlin
    • Warburton, T. (2000), "Application of the discontinuous Galerkin method to Maxwell's equations using unstructured polymorphic hp-finite elements", in Cockburn, B., Karniadakis, G.E. and Shu, C-W. (Eds), Discontinuous Galerkin Methods. Theory, Computation and Applications, Lecture Notes in Computational Science and Engineering, Springer, Berlin, Vol. 11, pp. 451-8.
    • (2000) Discontinuous Galerkin Methods. Theory, Computation and Applications , vol.11 , pp. 451-458
    • Warburton, T.1
  • 28
    • 84894021661 scopus 로고
    • Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media
    • Yee, K.S. (1966), "Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media", IEEE Trans. Antennas and Propagation, Vol. AP-16, pp. 302-7.
    • (1966) IEEE Trans. Antennas and Propagation , vol.AP-16 , pp. 302-307
    • Yee, K.S.1
  • 29
    • 0000113396 scopus 로고    scopus 로고
    • A fully explicit Whitney element time domain scheme with higher order vector finite elements for three-dimensional high frequency problems
    • Yioultsis, T.V., Kantartzis, N.V., Antonopoulos, C.S. and Tsiboukis, T.D. (1998), "A fully explicit Whitney element time domain scheme with higher order vector finite elements for three-dimensional high frequency problems", IEEE Trans. Magn., Vol. 34 No. 5, pp. 3288-91.
    • (1998) IEEE Trans. Magn. , vol.34 , Issue.5 , pp. 3288-3291
    • Yioultsis, T.V.1    Kantartzis, N.V.2    Antonopoulos, C.S.3    Tsiboukis, T.D.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.