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Volumn 204, Issue 2 SPEC. ISS., 2007, Pages 334-343

A collocation method for high-frequency scattering by convex polygons

Author keywords

Collocation method; High frequency scattering; Oscillatory integrals

Indexed keywords

APPROXIMATION THEORY; COMPUTATION THEORY; FINITE ELEMENT METHOD; GALERKIN METHODS; PROBLEM SOLVING;

EID: 34247217173     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2006.03.028     Document Type: Article
Times cited : (17)

References (21)
  • 1
    • 0010633701 scopus 로고
    • Méthodes des équations intégrales pour les hautes fréquences
    • Abboud T., Nédélec J.C., and Zhou B. Méthodes des équations intégrales pour les hautes fréquences. C.R. Acad. Sci. I-Math. 318 (1994) 165-170
    • (1994) C.R. Acad. Sci. I-Math. , vol.318 , pp. 165-170
    • Abboud, T.1    Nédélec, J.C.2    Zhou, B.3
  • 3
    • 34247219858 scopus 로고    scopus 로고
    • S. Arden, A collocation method for high frequency scattering by convex polygons, M.Sc. Thesis, University of Reading, 2005.
  • 4
    • 84966248635 scopus 로고
    • On the asymptotic convergence of collocation methods
    • Arnold D.N., and Wendland W.L. On the asymptotic convergence of collocation methods. Math. Comp. 41 (1983) 197-242
    • (1983) Math. Comp. , vol.41 , pp. 197-242
    • Arnold, D.N.1    Wendland, W.L.2
  • 6
    • 1642313920 scopus 로고    scopus 로고
    • Prescribed error tolerances within fixed computational times for scattering problems of high-frequency: the convex case
    • Bruno O.P., Geuzaine C.A., Monro Jr. J.A., and Reitich F. Prescribed error tolerances within fixed computational times for scattering problems of high-frequency: the convex case. Philos. Trans. Roy. Soc. London Ser. A 362 (2004) 629-645
    • (2004) Philos. Trans. Roy. Soc. London Ser. A , vol.362 , pp. 629-645
    • Bruno, O.P.1    Geuzaine, C.A.2    Monro Jr., J.A.3    Reitich, F.4
  • 7
    • 84966246042 scopus 로고
    • Product integration-collocation methods for non-compact integral operator equations
    • Chandler G., and Graham I.G. Product integration-collocation methods for non-compact integral operator equations. Math. Comp. 50 (1988) 125-138
    • (1988) Math. Comp. , vol.50 , pp. 125-138
    • Chandler, G.1    Graham, I.G.2
  • 8
    • 34247223334 scopus 로고    scopus 로고
    • S.N. Chandler-Wilde, S. Langdon, A Galerkin boundary element method for high-frequency scattering by convex polygons, submitted for publication (available as Reading University Numerical Analysis Report 7/06).
  • 10
    • 0007346821 scopus 로고
    • Numerical analysis of boundary integral solution of the Helmholtz equation in domains with non-smooth boundaries
    • Chen K., and Amini S. Numerical analysis of boundary integral solution of the Helmholtz equation in domains with non-smooth boundaries. IMA J. Numer. Anal. 13 (1993) 43-66
    • (1993) IMA J. Numer. Anal. , vol.13 , pp. 43-66
    • Chen, K.1    Amini, S.2
  • 12
    • 84966259696 scopus 로고
    • On the convergence of collocation methods for boundary integral equations on polygons
    • Costabel M., and Stephan E. On the convergence of collocation methods for boundary integral equations on polygons. Math. Comp. 49 (1987) 461-478
    • (1987) Math. Comp. , vol.49 , pp. 461-478
    • Costabel, M.1    Stephan, E.2
  • 13
    • 34247182756 scopus 로고    scopus 로고
    • M. Ganesh, S. Langdon, I.H. Sloan, Efficient evaluation of highly oscillatory acoustic scattering surface integrals, submitted for publication.
  • 14
    • 33749021121 scopus 로고    scopus 로고
    • On the evaluation of highly oscillatory integrals by analytic continuation
    • Huybrechs D., and Vandewalle S. On the evaluation of highly oscillatory integrals by analytic continuation. SIAM J. Numer. Anal. 44 (2006) 1026-1048
    • (2006) SIAM J. Numer. Anal. , vol.44 , pp. 1026-1048
    • Huybrechs, D.1    Vandewalle, S.2
  • 15
    • 34247251556 scopus 로고    scopus 로고
    • D. Huybrechs, S. Vandewalle, The efficient evaluation of highly oscillatory integrals in BEM by analytic continuation. Advances in Boundary Integral Methods, Proceedings of the Fifth UK Conference on Boundary Integral Methods, 2005, pp. 12-21.
  • 16
    • 4043159167 scopus 로고    scopus 로고
    • On the numerical quadrature of highly-oscillating integrals I: Fourier transforms
    • Iserles A. On the numerical quadrature of highly-oscillating integrals I: Fourier transforms. IMA J. Numer. Anal. 24 (2004) 365-391
    • (2004) IMA J. Numer. Anal. , vol.24 , pp. 365-391
    • Iserles, A.1
  • 17
    • 18244376597 scopus 로고    scopus 로고
    • On quadrature methods for highly oscillatory integrals and their implementation
    • Iserles A., and Norsett S. On quadrature methods for highly oscillatory integrals and their implementation. BIT Numer. Math. 44 4 (2004) 755-772
    • (2004) BIT Numer. Math. , vol.44 , Issue.4 , pp. 755-772
    • Iserles, A.1    Norsett, S.2
  • 18
    • 34247232813 scopus 로고    scopus 로고
    • S. Langdon, S.N. Chandler-Wilde, Implementation of a boundary element method for high-frequency scattering by convex polygons. Advances in Boundary Integral Methods, Proceedings of the Fifth UK Conference on Boundary Integral Methods, 2005, pp. 2-11.
  • 19
    • 33845517970 scopus 로고    scopus 로고
    • A wavenumber independent boundary element method for an acoustic scattering problem
    • Langdon S., and Chandler-Wilde S.N. A wavenumber independent boundary element method for an acoustic scattering problem. SIAM J. Numer. Anal. 43 (2006) 2450-2477
    • (2006) SIAM J. Numer. Anal. , vol.43 , pp. 2450-2477
    • Langdon, S.1    Chandler-Wilde, S.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.