메뉴 건너뛰기




Volumn 46, Issue 4, 2008, Pages 1965-1984

A fast Fourier-galerkin method for solving singular boundary integral equations

Author keywords

Fast solutions; Fourier Galerkin methods; Singular boundary integral equations

Indexed keywords

COMPRESSION STRATEGIES; DENSE MATRIXES; EXACT SOLUTIONS; FAST SOLUTIONS; FOURIER; FOURIER BASES; FOURIER-GALERKIN METHODS; INTEGRAL OPERATORS; NONZERO ENTRIES; NUMERICAL EXAMPLES; OPTIMAL CONVERGENCES; SINGULAR BOUNDARY INTEGRAL EQUATIONS; SPARSE MATRIXES;

EID: 55349121543     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/070703478     Document Type: Article
Times cited : (28)

References (22)
  • 2
    • 0000495086 scopus 로고
    • A discrete Galerkin method for the first kind integral equations with a logarithmic kernel
    • K. E. ATKINSON, A discrete Galerkin method for the first kind integral equations with a logarithmic kernel, J. Integral Equations Appl., 1 (1988), pp. 343-363.
    • (1988) J. Integral Equations Appl , vol.1 , pp. 343-363
    • ATKINSON, K.E.1
  • 3
    • 84966247212 scopus 로고
    • The numerical solution of the first kind logarithmic kernel integral equations on smooth open curves
    • K. E. ATKINSON AND I. H. SLOAN, The numerical solution of the first kind logarithmic kernel integral equations on smooth open curves, Math. Comp., 56 (1991), pp. 119-139.
    • (1991) Math. Comp , vol.56 , pp. 119-139
    • ATKINSON, K.E.1    SLOAN, I.H.2
  • 4
    • 0031481550 scopus 로고    scopus 로고
    • A discrete Galerkin method for a hypersingular boundary integral equations
    • D. CHIEN AND K. E. ATKINSON, A discrete Galerkin method for a hypersingular boundary integral equations, IMA. J. Numer. Anal., 17 (1997), pp. 463-478.
    • (1997) IMA. J. Numer. Anal , vol.17 , pp. 463-478
    • CHIEN, D.1    ATKINSON, K.E.2
  • 5
    • 0035888656 scopus 로고    scopus 로고
    • A multilevel method for solving operator equations
    • Z. CHEN, C. A. MICCHELLI, AND Y. XU, A multilevel method for solving operator equations, J. Math. Anal. Appl., 262 (2001), pp. 688-699.
    • (2001) J. Math. Anal. Appl , vol.262 , pp. 688-699
    • CHEN, Z.1    MICCHELLI, C.A.2    XU, Y.3
  • 6
    • 31844437667 scopus 로고    scopus 로고
    • Multilevel augmentation methods for solving operator equations
    • Z. CHEN, B. WU, AND Y. XU, Multilevel augmentation methods for solving operator equations, Numer. Math. J. Chinese Univ., 14 (2005), pp. 244-251.
    • (2005) Numer. Math. J. Chinese Univ , vol.14 , pp. 244-251
    • CHEN, Z.1    WU, B.2    XU, Y.3
  • 7
    • 33645774702 scopus 로고    scopus 로고
    • Multilevel augmentation methods for differential equations
    • Z. CHEN, B. WU, AND Y. XU, Multilevel augmentation methods for differential equations, Adv. Comput. Math., 24 (2006), pp. 213-238.
    • (2006) Adv. Comput. Math , vol.24 , pp. 213-238
    • CHEN, Z.1    WU, B.2    XU, Y.3
  • 8
    • 31844438376 scopus 로고    scopus 로고
    • A multilevel augmentation method for solving ill-posed operator equations
    • Z. CHEN, H. YANG, AND Y. XU, A multilevel augmentation method for solving ill-posed operator equations, Inverse Problems, 22 (2006), pp. 155-174.
    • (2006) Inverse Problems , vol.22 , pp. 155-174
    • CHEN, Z.1    YANG, H.2    XU, Y.3
  • 9
    • 1842722770 scopus 로고    scopus 로고
    • Multilevel iteration methods for solving integral equations of the second kind
    • W. FANG, F. MA, AND Y. XU, Multilevel iteration methods for solving integral equations of the second kind, J. Integral Equations Appl., 14 (2002), pp. 355-376.
    • (2002) J. Integral Equations Appl , vol.14 , pp. 355-376
    • FANG, W.1    MA, F.2    XU, Y.3
  • 10
    • 33747535085 scopus 로고
    • A finite element method for some integral equations of the first kind
    • G. C. HSIAO AND W. L. WENDLAND, A finite element method for some integral equations of the first kind, J. Math. Anal. Appl., 58 (1977), pp. 449-481.
    • (1977) J. Math. Anal. Appl , vol.58 , pp. 449-481
    • HSIAO, G.C.1    WENDLAND, W.L.2
  • 12
    • 0000015833 scopus 로고
    • On the numerical solution of a hypersingular integral equation in scattering theory
    • R. KRESS, On the numerical solution of a hypersingular integral equation in scattering theory, J. Comput. Appl. Math., 51 (1995), pp. 345-350.
    • (1995) J. Comput. Appl. Math , vol.51 , pp. 345-350
    • KRESS, R.1
  • 13
    • 0002563643 scopus 로고
    • A spectral Galerkin method for a boundary integral equation
    • W. MCLEAN, A spectral Galerkin method for a boundary integral equation, Math. Comp., 47 (1986), pp. 597-607.
    • (1986) Math. Comp , vol.47 , pp. 597-607
    • MCLEAN, W.1
  • 16
    • 0040240285 scopus 로고    scopus 로고
    • Two-grid solutions of Symm's integral equation
    • J. SARANEN AND G. VAINIKKO, Two-grid solutions of Symm's integral equation, Math. Nachr., 177 (1996), pp. 265-279.
    • (1996) Math. Nachr , vol.177 , pp. 265-279
    • SARANEN, J.1    VAINIKKO, G.2
  • 17
    • 0032393883 scopus 로고    scopus 로고
    • Fast solution of integral and pseudodifferential equations on closed curves
    • J. SARANEN AND G. VAINIKKO, Fast solution of integral and pseudodifferential equations on closed curves, Math. Comp., 67 (1998), pp. 1473-1491.
    • (1998) Math. Comp , vol.67 , pp. 1473-1491
    • SARANEN, J.1    VAINIKKO, G.2
  • 18
    • 84972047848 scopus 로고
    • Error analysis of boundary integral methods
    • I. SLOAN, Error analysis of boundary integral methods, Acta Numer., 1 (1992), pp. 287-339.
    • (1992) Acta Numer , vol.1 , pp. 287-339
    • SLOAN, I.1
  • 19
    • 10644255841 scopus 로고    scopus 로고
    • Limit values of derivatives of the Cauchy integrals and computation of the logarithmic potentials
    • Y. XU, H.-L. CHEN, AND Q. ZOU, Limit values of derivatives of the Cauchy integrals and computation of the logarithmic potentials, Computing, 73 (2004), pp. 295-327.
    • (2004) Computing , vol.73 , pp. 295-327
    • XU, Y.1    CHEN, H.-L.2    ZOU, Q.3
  • 20
    • 0042240448 scopus 로고    scopus 로고
    • Quadratures for boundary integral equations of the first kind with logarithmic kernels
    • Y. XU AND Y. ZHAO, Quadratures for boundary integral equations of the first kind with logarithmic kernels, J. Integral Equations Appl., 8 (1996), pp. 239-268.
    • (1996) J. Integral Equations Appl , vol.8 , pp. 239-268
    • XU, Y.1    ZHAO, Y.2
  • 21
    • 0030367032 scopus 로고    scopus 로고
    • A extrapolation method for a class of boundary integral equations
    • Y. XU AND Y. ZHAO, A extrapolation method for a class of boundary integral equations, Math. Comp., 66 (1996), pp. 587-610.
    • (1996) Math. Comp , vol.66 , pp. 587-610
    • XU, Y.1    ZHAO, Y.2
  • 22
    • 0000549690 scopus 로고
    • On integral equations of the first kind with logarithmic kernels
    • Y. YAN AND I. H. SLOAN, On integral equations of the first kind with logarithmic kernels, J. Integral Equations Appl., 1 (1988), pp. 549-579.
    • (1988) J. Integral Equations Appl , vol.1 , pp. 549-579
    • YAN, Y.1    SLOAN, I.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.