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Volumn 23, Issue 4, 1999, Pages 327-337

On boundary integral operators for the Laplace and the Helmholtz equations and their discretisations

Author keywords

Boundary integral equations; Helmholtz potentials; Hypersingular operator; Laplace potentials; Pseudodifferential operators; Regularisation

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; INTEGRAL EQUATIONS;

EID: 0033115268     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0955-7997(98)00055-1     Document Type: Article
Times cited : (5)

References (23)
  • 2
    • 0027701523 scopus 로고
    • Boundary integral solution of the exterior Helmholtz problem
    • Amini S. Boundary integral solution of the exterior Helmholtz problem. Comput Mech. 13:1993;2-11.
    • (1993) Comput Mech , vol.13 , pp. 2-11
    • Amini, S.1
  • 4
    • 0030287085 scopus 로고    scopus 로고
    • Regularisation of strongly singular integrals in boundary integral equations
    • Amini S., Maines N.D. Regularisation of strongly singular integrals in boundary integral equations. Comm Numer Meth Engng. 12:1996;787-793.
    • (1996) Comm Numer Meth Engng , vol.12 , pp. 787-793
    • Amini, S.1    Maines, N.D.2
  • 7
    • 0000181954 scopus 로고
    • The application of integral methods for the numerical solution of boundary value problems
    • Burton A.J., Miller G.F. The application of integral methods for the numerical solution of boundary value problems. Proc R Soc London. A232:1971;201-210.
    • (1971) Proc R Soc London , vol.232 , pp. 201-210
    • Burton, A.J.1    Miller, G.F.2
  • 12
    • 0022059920 scopus 로고
    • Minimizing the condition number of integral operators in acoustic and electromagnetic scattering
    • Kress R. Minimizing the condition number of 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
  • 14
    • 21344489598 scopus 로고
    • On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation
    • Kress R., Sloan I.H. On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation. Numer Math. 66:1993;199-214.
    • (1993) Numer Math , vol.66 , pp. 199-214
    • Kress, R.1    Sloan, I.H.2
  • 16
    • 0000216665 scopus 로고
    • On boundary integral equations for crack problems
    • Martin P.A., Rizzo F.J. On boundary integral equations for crack problems. Proc R Soc London. A421:1989;341-355.
    • (1989) Proc R Soc London , vol.421 , pp. 341-355
    • Martin, P.A.1    Rizzo, F.J.2
  • 17
    • 34250923661 scopus 로고
    • Zur Formulierung eines allgemeinen Beugungsproblems durch eine Integralgleichung
    • Maue A.W. Zur Formulierung eines allgemeinen Beugungsproblems durch eine Integralgleichung. Z Phys. 126:1949;601-618.
    • (1949) Z Phys , vol.126 , pp. 601-618
    • Maue, A.W.1
  • 19
    • 0000903854 scopus 로고
    • Acoustic scattering from an interface between media of greatly different density
    • Mitzner K.M. Acoustic scattering from an interface between media of greatly different density. J Maths Phys. 7:1966;2053-2060.
    • (1966) J Maths Phys , vol.7 , pp. 2053-2060
    • Mitzner, K.M.1
  • 21
    • 0000614984 scopus 로고
    • Boundary element methods for elliptic problems
    • In: Schatz AH, Thomée V, Wendland WL, editors. Basel: Birkhäuser
    • Wendland WL. Boundary element methods for elliptic problems. In: Schatz AH, Thomée V, Wendland WL, editors. Mathematical theory of finite and boundary element methods. Basel: Birkhäuser, 1990:219-76.
    • (1990) Mathematical Theory of Finite and Boundary Element Methods , pp. 219-276
    • Wendland, W.L.1
  • 22
    • 0000549690 scopus 로고
    • On integral equations of the first kind with logarithmic kernel
    • Yan Y., Sloan I.H. On integral equations of the first kind with logarithmic kernel. J Integral Equations Appl. 1:1988;1-31.
    • (1988) J Integral Equations Appl , vol.1 , pp. 1-31
    • Yan, Y.1    Sloan, I.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.