메뉴 건너뛰기




Volumn 67, Issue 224, 1998, Pages 1473-1491

Fast solvers of integral and pseudodifferential equations on closed curves

Author keywords

Boundary integral equation; Fast algorithms; Trigonometric galerkin method

Indexed keywords


EID: 0032393883     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0025-5718-98-00997-1     Document Type: Article
Times cited : (16)

References (23)
  • 1
    • 0040861126 scopus 로고
    • On the approximate solution of elliptic pseudodifferential equations on a smooth closed curve
    • MR 92g:35249
    • B.A. Amosov, On the approximate solution of elliptic pseudodifferential equations on a smooth closed curve (in Russian), Z. Anal. Anwendungen 9(6) (1990), 545-563. MR 92g:35249
    • (1990) Z. Anal. Anwendungen , vol.9 , Issue.6 , pp. 545-563
    • Amosov, B.A.1
  • 2
    • 0039041085 scopus 로고
    • Sinc-Nyström method for numerical solution of a dominant system of Cauchy singular integral equations given on a piecewise smooth contour
    • MR 90m:65225
    • B. Bialecki, Sinc-Nyström method for numerical solution of a dominant system of Cauchy singular integral equations given on a piecewise smooth contour, SIAM J. Numer. Anal. 26 (1989), 1194-1211. MR 90m:65225
    • (1989) SIAM J. Numer. Anal. , vol.26 , pp. 1194-1211
    • Bialecki, B.1
  • 3
    • 0040225042 scopus 로고    scopus 로고
    • Boundary element analysis of a direct method for the biharmonic Dirichlet problem
    • M. Costabel and J. Saranen, Boundary element analysis of a direct method for the biharmonic Dirichlet problem, Gohberg Anniversary Collection, vol. 2, Oper. Theory: Adv. Appl., Vol.41, Birkhäuser Verlag, Basel, 1989, 77-95. MR 90m:65195
    • Gohberg Anniversary Collection , vol.2
    • Costabel, M.1    Saranen, J.2
  • 4
    • 0039633095 scopus 로고
    • Birkhäuser Verlag, Basel, MR 90m:65195
    • M. Costabel and J. Saranen, Boundary element analysis of a direct method for the biharmonic Dirichlet problem, Gohberg Anniversary Collection, vol. 2, Oper. Theory: Adv. Appl., Vol.41, Birkhäuser Verlag, Basel, 1989, 77-95. MR 90m:65195
    • (1989) Oper. Theory: Adv. Appl. , vol.41 , pp. 77-95
  • 5
    • 0003267923 scopus 로고
    • Convolution equations and projection methods for their solution
    • Amer. Math. Soc., Providence, MR 50:8149
    • I. Gohberg and I. Feldman, Convolution equations and projection methods for their solution, AMS Translations of Mathematical Monographs 41, Amer. Math. Soc., Providence, 1974. MR 50:8149
    • (1974) AMS Translations of Mathematical Monographs , vol.41
    • Gohberg, I.1    Feldman, I.2
  • 7
    • 0001351728 scopus 로고
    • Fast fourier methods in computational complex analysis
    • MR 801:65031
    • P. Henrici, Fast Fourier methods in computational complex analysis, SIAM Rev. 21 (4) (1979), 481-527. MR 801:65031
    • (1979) SIAM Rev. , vol.21 , Issue.4 , pp. 481-527
    • Henrici, P.1
  • 8
    • 0040225038 scopus 로고
    • A fully discrete Galerkin method for integral and pseudodifferential equations on closed curves
    • MR 97c:65219
    • O. Kelle and G. Vainikko, A fully discrete Galerkin method for integral and pseudodifferential equations on closed curves, Z. Anal. Anwendungen 14 (1995), 593-622. MR 97c:65219
    • (1995) Z. Anal. Anwendungen , vol.14 , pp. 593-622
    • Kelle, O.1    Vainikko, G.2
  • 9
    • 0005576468 scopus 로고
    • On a full discretization for a hypersingular boundary integral equation over smooth curves
    • MR 94k:65186
    • R. Kieser, B. Kleemann, and A. Rathsfeld, On a full discretization for a hypersingular boundary integral equation over smooth curves, Z. Anal. Anwendungen 11 (1992), 385-396. MR 94k:65186
    • (1992) Z. Anal. Anwendungen , vol.11 , pp. 385-396
    • Kieser, R.1    Kleemann, B.2    Rathsfeld, A.3
  • 10
    • 0003449635 scopus 로고
    • Springer Verlag, Berlin. Heidelberg. MR 90j:45001
    • R. Kress, Linear integral equations, Springer Verlag, Berlin. Heidelberg, 1989. MR 90j:45001
    • (1989) Linear Integral Equations
    • Kress, R.1
  • 11
    • 21344489598 scopus 로고
    • On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation
    • MR 95d:65108
    • R. Kress and I.H. Sloan, On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation, Numer. Math. 66 (1993), 199-214. MR 95d:65108
    • (1993) Numer. Math. , vol.66 , pp. 199-214
    • Kress, R.1    Sloan, I.H.2
  • 13
    • 0002382602 scopus 로고
    • Pointwise error estimates for the trigonometric collocation method applied to singular integral equations and periodic pseudodifferential equations
    • MR 91f:65218
    • W. McLean, S. Prössdorf, and W.L. Wendland, Pointwise error estimates for the trigonometric collocation method applied to singular integral equations and periodic pseudodifferential equations. J. Integral Equations Appl., 2(1) (1989), 125-146. MR 91f:65218
    • (1989) J. Integral Equations Appl. , vol.2 , Issue.1 , pp. 125-146
    • McLean, W.1    Prössdorf, S.2    Wendland, W.L.3
  • 14
    • 0039757994 scopus 로고
    • A fully discrete, trigonometric collocation method
    • MR 94m:65203
    • W. McLean, S. Prössdorf, and W.L. Wendland, A fully discrete, trigonometric collocation method, J. Integral Equations Appl. 5(1) (1993), 103-129. MR 94m:65203
    • (1993) J. Integral Equations Appl. , vol.5 , Issue.1 , pp. 103-129
    • McLean, W.1    Prössdorf, S.2    Wendland, W.L.3
  • 15
    • 0039633094 scopus 로고    scopus 로고
    • Trigonometric approximation of periodic pseudodifferential equations
    • W. McLean and W.L. Wendland, Trigonometric approximation of periodic pseudodifferential equations. The Gohberg Anniversary Collection, Vol. 2, Oper. Theory: Adv. Appl., Vol.41, Birkäuser Verlag, Basel, 1989, 359-383. MR 91f:65217
    • The Gohberg Anniversary Collection , vol.2
    • McLean, W.1    Wendland, W.L.2
  • 16
    • 0040225040 scopus 로고
    • Birkäuser Verlag, Basel, MR 91f:65217
    • W. McLean and W.L. Wendland, Trigonometric approximation of periodic pseudodifferential equations. The Gohberg Anniversary Collection, Vol. 2, Oper. Theory: Adv. Appl., Vol.41, Birkäuser Verlag, Basel, 1989, 359-383. MR 91f:65217
    • (1989) Oper. Theory: Adv. Appl. , vol.41 , pp. 359-383
  • 18
    • 0001494255 scopus 로고
    • A fully discrete approximation method for the exterior Neumann problem of the Helmholtz equation
    • MR 951:65181
    • S. Prössdorf and J. Saranen, A fully discrete approximation method for the exterior Neumann problem of the Helmholtz equation, Z. Anal. Andwendungen 13 (1994), 683-695. MR 951:65181
    • (1994) Z. Anal. Andwendungen , vol.13 , pp. 683-695
    • Prössdorf, S.1    Saranen, J.2
  • 19
    • 0039041084 scopus 로고
    • Fast solution of a class of periodic pseudodifferential equations
    • MR 96b:65118
    • L. Reichel and Y. Yan, Fast solution of a class of periodic pseudodifferential equations, J. Integral Equations Appl. 6 (1994), 401-426. MR 96b:65118
    • (1994) J. Integral Equations Appl. , vol.6 , pp. 401-426
    • Reichel, L.1    Yan, Y.2
  • 20
    • 0027837098 scopus 로고
    • Quadrature methods for strongly elliptic equations of negative order on smooth closed curves
    • MR 94k:65187
    • J. Saranen and L. Schroderus, Quadrature methods for strongly elliptic equations of negative order on smooth closed curves, SIAM J. Numer. Anal. 30(6) (1993), 1769-1795. MR 94k:65187
    • (1993) SIAM J. Numer. Anal. , vol.30 , Issue.6 , pp. 1769-1795
    • Saranen, J.1    Schroderus, L.2
  • 21
    • 0040240285 scopus 로고    scopus 로고
    • Two-grid solution of Symm's integral equation
    • MR 97f:65076
    • J. Saranen and G. Vainikko, Two-grid solution of Symm's integral equation, Math. Nachr. 177 (1996), 265-279. MR 97f:65076
    • (1996) Math. Nachr. , vol.177 , pp. 265-279
    • Saranen, J.1    Vainikko, G.2
  • 22
    • 0343090247 scopus 로고    scopus 로고
    • Trigonometric collocation methods with product integration for boundary integral equations on closed curves
    • MR 97m:65245
    • J. Saranen and G. Vainikko, Trigonometric collocation methods with product integration for boundary integral equations on closed curves, SIAM J. Numer Anal. 33(4) (1996), 1577-1596. MR 97m:65245
    • (1996) SIAM J. Numer Anal. , vol.33 , Issue.4 , pp. 1577-1596
    • Saranen, J.1    Vainikko, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.