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Volumn 70 LNCSE, Issue , 2009, Pages 51-62

Mixed plane wave discontinuous galerkin methods

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION RESULTS; DISCONTINUOUS GALERKIN METHODS; INHOMOGENEOUS HELMHOLTZ EQUATIONS; MIXED DUALITY; NUMERICAL FLUX; PLANE WAVE;

EID: 78651551240     PISSN: 14397358     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-02677-5_5     Document Type: Conference Paper
Times cited : (5)

References (14)
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    • Arnold, D.N., Brezzi, F., Cockburn, B., Marini, L. D.: Unified analysis of discontinuous Galerkin methods for elliptic problems. SIAM J. Numer. Anal., 39 (5):1749-1779, 2002.
    • (2002) SIAM J. Numer. Anal. , vol.39 , Issue.5 , pp. 1749-1779
    • Arnold, D.N.1    Brezzi, F.2    Cockburn, B.3    Marini, L.D.4
  • 2
    • 0141780468 scopus 로고    scopus 로고
    • Is the pollution effect of the FEM avoidable for the Helmholtz equation?
    • September
    • Babu ska, I.M., Sauter, S.: Is the pollution effect of the FEM avoidable for the Helmholtz equation? SIAM Rev., 42(3):451-484, September 2000.
    • (2000) SIAM Rev , vol.42 , Issue.3 , pp. 451-484
    • Babu Ska, I.M.1    Sauter, S.2
  • 3
    • 55049134128 scopus 로고    scopus 로고
    • Error estimates for the ultra weak variational formulation of the Helmholtz equation
    • Buffa, A., Monk, P.: Error estimates for the ultra weak variational formulation of the Helmholtz equation. M2AN Math. Model Numer. Anal., 42(6):925-940, 2008.
    • (2008) M2AN Math. Model Numer. Anal. , vol.42 , Issue.6 , pp. 925-940
    • Buffa, A.1    Monk, P.2
  • 4
    • 0034548629 scopus 로고    scopus 로고
    • An a priori error analysis of the local discontinuous Galerkin method for elliptic problems
    • Castillo, P., Cockburn, B., Perugia, I., Scḧotzau, D.: An a priori error analysis of the local discontinuous Galerkin method for elliptic problems. SIAM J. Numer. Anal., 38(5):1676-1706, 2000.
    • (2000) SIAM J. Numer. Anal. , vol.38 , Issue.5 , pp. 1676-1706
    • Castillo, P.1    Cockburn, B.2    Perugia, I.3    Scḧotzau, D.4
  • 5
    • 0141445578 scopus 로고    scopus 로고
    • Application of an ultra weak variational formulation of elliptic PDEs to the two-dimensional Helmholtz equation
    • Cessenat, O., Despŕes, B.: Application of an ultra weak variational formulation of elliptic PDEs to the two-dimensional Helmholtz equation. SIAM J. Numer. Anal., 35(1):255-299, 1998.
    • (1998) SIAM J. Numer. Anal. , vol.35 , Issue.1 , pp. 255-299
    • Cessenat, O.1    Despŕes, B.2
  • 7
    • 0000412875 scopus 로고
    • Sur une formulation variationelle de type ultra-faible
    • Despŕes, B.: Sur une formulation variationelle de type ultra-faible. C. R. Acad. Sci. Paris, Ser. I Math., 318:939-944, 1994.
    • (1994) C. R. Acad. Sci. Paris, Ser. i Math. , Issue.318 , pp. 939-944
    • Despŕes, B.1
  • 8
    • 66249148430 scopus 로고    scopus 로고
    • Plane wave discontinuous Galerkin methods: Analysis of the h-version
    • Published online, DOI: 10.1051/m2an/2009002
    • Gittelson, C., Hiptmair, R., Perugia, I.: Plane wave discontinuous Galerkin methods: Analysis of the h-version. M@AN Math. Model. Numer. Anal., 2009. Published online, DOI: 10.1051/m2an/2009002.
    • (2009) M@AN Math. Model. Numer. Anal.
    • Gittelson, C.1    Hiptmair, R.2    Perugia, I.3
  • 9
    • 49549125285 scopus 로고    scopus 로고
    • Solving Maxwell's equations using the ultra weak variational formulation
    • Huttunen, T., Malinen, M., Monk, P.: Solving Maxwell's equations using the ultra weak variational formulation. J. Comput. Phys., 2006.
    • (2006) J. Comput. Phys.
    • Huttunen, T.1    Malinen, M.2    Monk, P.3
  • 10
    • 34250370845 scopus 로고    scopus 로고
    • The use of plane waves to approximate wave propagation in anisotropic media
    • Huttunen, T., Monk, P.: The use of plane waves to approximate wave propagation in anisotropic media. J. Comput. Math., 25(3):350-367, 2007.
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    • Huttunen, T.1    Monk, P.2
  • 11
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    • Computational aspects of the ultra-weak variational formulation
    • Huttunen, T., Monk, P., Kaipio, J.P.: Computational aspects of the ultra-weak variational formulation. J. Comput. Phys., 182(1):27-46, 2002.
    • (2002) J. Comput. Phys. , vol.182 , Issue.1 , pp. 27-46
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  • 14
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    • An observation concerning Ritz-Galerkin methods with indefi-nite bilinear forms
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    • (1974) Math. Comp. , vol.28 , pp. 959-962
    • Schatz, A.H.1


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