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Volumn 21, Issue 2, 2009, Pages 229-279

Condition number estimates for combined potential boundary integral operators in acoustic scattering

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EID: 75449087930     PISSN: 08973962     EISSN: None     Source Type: Journal    
DOI: 10.1216/JIE-2009-21-2-229     Document Type: Article
Times cited : (60)

References (34)
  • 2
    • 0002749845 scopus 로고
    • On the choice of the coupling parameter in boundary integral equation formulations of the exterior acoustic problem
    • S. Amini, On the choice of the coupling parameter in boundary integral equation formulations of the exterior acoustic problem, Appl. Anal., 35 (1990), 75-92.
    • (1990) Appl. Anal. , vol.35 , pp. 75-92
    • Amini, S.1
  • 3
    • 0027701523 scopus 로고
    • Boundary integral solution of the exterior acoustic problem
    • S. Amini, Boundary integral solution of the exterior acoustic problem, Comput. Mech., (1993), 2-11.
    • (1993) Comput. Mech. , pp. 2-11
    • Amini, S.1
  • 4
    • 37849017364 scopus 로고    scopus 로고
    • A refined Galerkin error and stability analysis for highly indefinite variational problems
    • L. Banjai and S. Sauter, A refined Galerkin error and stability analysis for highly indefinite variational problems, SIAM J. Numer. Anal., 45 (2007), 37-53.
    • (2007) SIAM J. Numer. Anal. , vol.45 , pp. 37-53
    • Banjai, L.1    Sauter, S.2
  • 5
    • 0000204968 scopus 로고
    • Über das Dirichletsche Außenraumproblem für die Helmholtzsche Schwingungsgleichung
    • H. Brakhage and P. Werner, Über das Dirichletsche Außenraumproblem für die Helmholtzsche Schwingungsgleichung, Arch. Math., 16 (1965), 325-329.
    • (1965) Arch. Math. , vol.16 , pp. 325-329
    • Brakhage, H.1    Werner, P.2
  • 6
    • 3042796907 scopus 로고    scopus 로고
    • Surface scattering in three dimensions: an accelerated high-order solver
    • O. P. Bruno and A. L. Kunyansky, Surface scattering in three dimensions: an accelerated high-order solver, Proc. R. Soc. Lond., A 457 (2001), 2921-2934.
    • (2001) Proc. R. Soc. Lond., A , vol.457 , pp. 2921-2934
    • Bruno, O.P.1    Kunyansky, A.L.2
  • 8
    • 34248190752 scopus 로고    scopus 로고
    • On the acoustic single layer potential: Stabilisation and Fourier analysis
    • A. Buffa and S. Sauter, On the acoustic single layer potential: Stabilisation and Fourier analysis, SIAM J. Sci. Comput., 28 (2006), 1974-1999.
    • (2006) SIAM J. Sci. Comput. , vol.28 , pp. 1974-1999
    • Buffa, A.1    Sauter, S.2
  • 9
    • 0000181954 scopus 로고
    • The application of integral equation methods for the numerical solution of boundary value problems
    • A. J. Burton and G. F. Miller, The application of integral equation methods for the numerical solution of boundary value problems, Proc. R. Soc. Lond., A 232 (1971), 201-210.
    • (1971) Proc. R. Soc. Lond., A , vol.232 , pp. 201-210
    • Burton, A.J.1    Miller, G.F.2
  • 10
    • 42649138229 scopus 로고    scopus 로고
    • A Galerkin boundary element method for high frequency scattering by convex polygons
    • S. N. Chandler-Wilde and S. Langdon, A Galerkin boundary element method for high frequency scattering by convex polygons, SIAM J. Numer. Anal., 45 (2007), 610-640.
    • (2007) SIAM J. Numer. Anal. , vol.45 , pp. 610-640
    • Chandler-Wilde, S.N.1    Langdon, S.2
  • 11
    • 52649128278 scopus 로고    scopus 로고
    • Wave-number-explicit bounds in timeharmonic scattering
    • S. N. Chandler-Wilde and P. Monk, Wave-number-explicit bounds in timeharmonic scattering, SIAM J. Math. Anal., 39 (2008), 1428-1455.
    • (2008) SIAM J. Math. Anal. , vol.39 , pp. 1428-1455
    • Chandler-Wilde, S.N.1    Monk, P.2
  • 15
    • 34248169761 scopus 로고    scopus 로고
    • A hybrid numericalasymptotic boundary integral method for high-frequency acoustic scattering
    • V. Dominguez, I. G. Graham, and V. P. Smyshlyaev, A hybrid numericalasymptotic boundary integral method for high-frequency acoustic scattering, Numer. Math., 106 (2007), 471-510.
    • (2007) Numer. Math. , vol.106 , pp. 471-510
    • Dominguez, V.1    Graham, I.G.2    Smyshlyaev, V.P.3
  • 16
    • 51249180564 scopus 로고
    • Potential techniques for boundary value problems on C1 domains
    • E. B. Fabes, M. Jodeit, and N. M. Riviere, Potential techniques for boundary value problems on C1 domains, Acta Math., 141 (1978), 165-186.
    • (1978) Acta Math. , vol.141 , pp. 165-186
    • Fabes, E.B.1    Jodeit, M.2    Riviere, N.M.3
  • 18
    • 0022059920 scopus 로고
    • Minimizing the condition number of boundary integral-operators in acoustic and electromagnetic scattering
    • R. Kress, Minimizing the condition number of boundary integral-operators in acoustic and electromagnetic scattering, Q. J. Mech. Appl. Math., 38 (1985), 323-341.
    • (1985) Q. J. Mech. Appl. Math. , vol.38 , pp. 323-341
    • Kress, R.1
  • 19
    • 0003376378 scopus 로고
    • On the condition number of boundary integral operators for the exterior Dirichlet problem for the Helmholtz equation
    • R. Kress and W. T. Spassov, On the condition number of boundary integral operators for the exterior Dirichlet problem for the Helmholtz equation, Numer. Math., 42 (1983), 77-95.
    • (1983) Numer. Math. , vol.42 , pp. 77-95
    • Kress, R.1    Spassov, W.T.2
  • 20
    • 33746378156 scopus 로고    scopus 로고
    • Quadrature methods for multivariate highly oscillatory integrals using derivatives
    • A. Iserles and S. P. Nørsett, Quadrature methods for multivariate highly oscillatory integrals using derivatives, Math. Comp., 75 (2006), 1233-1258.
    • (2006) Math. Comp. , vol.75 , pp. 1233-1258
    • Iserles, A.1    Nørsett, S.P.2
  • 22
    • 0038960450 scopus 로고
    • Zur Dirichtletschen Randwertaufgabe des Aussenraums der Schwingungsgleichung
    • R. Leis, Zur Dirichtletschen Randwertaufgabe des Aussenraums der Schwingungsgleichung, Math. Z., 90 (1965), 205-211.
    • (1965) Math. Z. , vol.90 , pp. 205-211
    • Leis, R.1
  • 26
    • 0030587354 scopus 로고    scopus 로고
    • Boundary value problems and Hardy spaces associated to the Helmholtz equation in Lipschitz domains
    • M. Mitrea, Boundary value problems and Hardy spaces associated to the Helmholtz equation in Lipschitz domains, J. Math. Anal. Appl., 202 (1996), 819- 842.
    • (1996) J. Math. Anal. Appl. , vol.202
    • Mitrea, M.1
  • 28
    • 0000724280 scopus 로고
    • On the question of the solvability of the exterior boundary-value problems for the wave eqaution and Maxwell's equations
    • O. I. Panič, On the question of the solvability of the exterior boundary-value problems for the wave eqaution and Maxwell's equations, Usp. Mat. Nauk, 20A (1965), 221-226.
    • (1965) Usp. Mat. Nauk , vol.20 A , pp. 221-226
    • Panič, O.I.1
  • 29
    • 48549113823 scopus 로고
    • Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
    • G. Verchota, Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains, J. Funct. Anal., 59 (1984), 572-611.
    • (1984) J. Funct. Anal. , vol.59 , pp. 572-611
    • Verchota, G.1
  • 30
    • 33947374285 scopus 로고    scopus 로고
    • Uniqueness in inverse obstacle scattering with conductive boundary conditions
    • N. Valdivia, Uniqueness in inverse obstacle scattering with conductive boundary conditions, Appl. Anal., 83 (2004), 825-851.
    • (2004) Appl. Anal. , vol.83 , pp. 825-851
    • Valdivia, N.1
  • 31
    • 14644401741 scopus 로고    scopus 로고
    • Error analysis of the moment method
    • K. F. Warnick and W. C. Chew, Error analysis of the moment method, IEEE Ant. Prop. Mag. 46 (2004), 38-53.
    • (2004) IEEE Ant. Prop. Mag. , vol.46 , pp. 38-53
    • Warnick, K.F.1    Chew, W.C.2
  • 32
    • 0035837501 scopus 로고    scopus 로고
    • On the spectrum of the electric field integral equation and the convergence of the moment method
    • K. F. Warnick, On the spectrum of the electric field integral equation and the convergence of the moment method, Int. J. Numer.Meth. Engng., 51 (2001), 31-56.
    • (2001) Int. J. Numer.Meth. Engng. , vol.51 , pp. 31-56
    • Warnick, K.F.1
  • 33
    • 0033221611 scopus 로고    scopus 로고
    • Convergence of moment-method solutions of the electric field integral equation for a 2-D open cavity
    • K. F. Warnick, Convergence of moment-method solutions of the electric field integral equation for a 2-D open cavity, Microwave Optical Tech. Letters, 23 (1999), 212- 218.
    • (1999) Microwave Optical Tech. Letters , vol.23
    • Warnick, K.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.