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Volumn 20, Issue 17, 1997, Pages 1531-1549

Numerical methods for scattering problems by curved gratings at high frequencies

Author keywords

Error estimates; Finite element method; Geometric theory of diffraction; Gratings; Helmholtz equation; High frequencies; Transition regions

Indexed keywords

CALCULATIONS; DIFFRACTION GRATINGS; ELECTROMAGNETIC WAVE DIFFRACTION; ELECTROMAGNETIC WAVE SCATTERING; ERROR ANALYSIS; FINITE ELEMENT METHOD;

EID: 0031274880     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1476(19971125)20:17<1531::AID-MMA944>3.0.CO;2-A     Document Type: Article
Times cited : (3)

References (11)
  • 1
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    • Diffraction at a curved grating: Approximation by an infinite plane grating
    • Abboud, T. and Ammari, H., "Diffraction at a curved grating: approximation by an infinite plane grating', J. Math. Anal. Appl., 202 1076-1100 (1996) (see also C. R. Acad. Sci. Pairs, Sërie I, 320, 113-118 (1995)).
    • (1996) J. Math. Anal. Appl. , vol.202 , pp. 1076-1100
    • Abboud, T.1    Ammari, H.2
  • 2
    • 0030587325 scopus 로고    scopus 로고
    • Abboud, T. and Ammari, H., "Diffraction at a curved grating: approximation by an infinite plane grating', J. Math. Anal. Appl., 202 1076-1100 (1996) (see also C. R. Acad. Sci. Pairs, Sërie I, 320, 113-118 (1995)).
    • (1995) C. R. Acad. Sci. Pairs, Sërie I , vol.320 , pp. 113-118
  • 3
    • 0011623424 scopus 로고
    • Asymptotic expansion of field by a convex grating at high frequence
    • Abboud, T., Ammari, H. and Lebeau, G., 'Asymptotic expansion of field by a convex grating at high frequence', C. R. Acad. Sci. Paris, Sërie 1, 321, 1085-1095 (1995).
    • (1995) C. R. Acad. Sci. Paris, Sërie 1 , vol.321 , pp. 1085-1095
    • Abboud, T.1    Ammari, H.2    Lebeau, G.3
  • 4
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    • A quasi-periodic boundary value problem for the Laplacien and continuation of its resolvent
    • Alber, H. D., 'A quasi-periodic boundary value problem for the Laplacien and continuation of its resolvent', Proc. Roy. Soc. Edinburgh, 82 A, 251-272 (1979).
    • (1979) Proc. Roy. Soc. Edinburgh , vol.82 A , pp. 251-272
    • Alber, H.D.1
  • 6
    • 0000497724 scopus 로고
    • Finite element approximation of time harmonic waves in periodic structures
    • Bao, G., 'Finite element approximation of time harmonic waves in periodic structures', SIAM J. Numer Anal. 32, 1155-1169 (1995).
    • (1995) SIAM J. Numer Anal. , vol.32 , pp. 1155-1169
    • Bao, G.1
  • 7
    • 84968484411 scopus 로고
    • Maxwell's equations in a periodic structure
    • Chen, X. and Friedman, A., 'Maxwell's equations in a periodic structure', Trans. Amer. Math. Soc. 323, 465-507 (1991).
    • (1991) Trans. Amer. Math. Soc. , vol.323 , pp. 465-507
    • Chen, X.1    Friedman, A.2
  • 8
    • 84966235520 scopus 로고
    • A finite element method for solving Helmholtz type equations in waveguides and other unbouaded domains
    • Goldstein, C., 'A finite element method for solving Helmholtz type equations in waveguides and other unbouaded domains', Math. Comp., 39, 309-324 (1982).
    • (1982) Math. Comp. , vol.39 , pp. 309-324
    • Goldstein, C.1
  • 9
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    • Integral equation methods in a quasi-periodic diffraction problem for the time-harmonic Maxwell's equations
    • Nédélec, J.C. and Starling, F., 'Integral equation methods in a quasi-periodic diffraction problem for the time-harmonic Maxwell's equations', SIAM, J. Math. Anal. 22, 1679-1701 (1991).
    • (1991) SIAM, J. Math. Anal. , vol.22 , pp. 1679-1701
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  • 10
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    • Convergence of the Galerkin method for two-dimensional elecromagnetic problems
    • Urbach, H.P., 'Convergence of the Galerkin method for two-dimensional elecromagnetic problems', SIAM J. Numer. Anal., 28, 697-710 (1991).
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  • 11
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    • Scattering theory for diffraction gratings
    • Springer, Berlin
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.