메뉴 건너뛰기




Volumn 18, Issue 6, 1997, Pages 1571-1582

The numerical solution of the biharmonic equation by conformal mapping

Author keywords

Biharmonic equation; Hankel matrices; Numerical conformal mapping

Indexed keywords

BIHARMONIC EQUATION; GOURSAT FUNCTIONS; HANKEL MATRICES; SUPERLINEAR CONVERGENCE;

EID: 0031261332     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827595292710     Document Type: Article
Times cited : (16)

References (18)
  • 2
    • 0030246195 scopus 로고    scopus 로고
    • Conjugate gradient methods for Toeplitz systems
    • R. H. CHAN AND M. K. NG, Conjugate gradient methods for Toeplitz systems, SIAM Rev., 38 (1996), pp. 427-482.
    • (1996) SIAM Rev. , vol.38 , pp. 427-482
    • Chan, R.H.1    Ng, M.K.2
  • 4
    • 0028445787 scopus 로고
    • The accuracy of numerical conformal mapping methods: A survey of examples and results
    • T. K. DELILLO, The accuracy of numerical conformal mapping methods: A survey of examples and results, SIAM J. Numer. Anal., 31 (1994), pp. 788-812.
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 788-812
    • Delillo, T.K.1
  • 5
    • 38249002371 scopus 로고
    • A Fornberg-like conformal mapping method for slender regions
    • T. K. DELILLO AND A. R. ELCRAT, A Fornberg-like conformal mapping method for slender regions, J. Comput. Appl. Math., 46 (1993), pp. 49-64.
    • (1993) J. Comput. Appl. Math. , vol.46 , pp. 49-64
    • Delillo, T.K.1    Elcrat, A.R.2
  • 9
    • 0001255195 scopus 로고
    • On the numerical solution of the biharmonic equation in the plane
    • A. GREENBAUM, L. GREENGARD, AND A. MAYO, On the numerical solution of the biharmonic equation in the plane, Phys. D, 60 (1992), pp. 216-225.
    • (1992) Phys. D , vol.60 , pp. 216-225
    • Greenbaum, A.1    Greengard, L.2    Mayo, A.3
  • 12
    • 0005178854 scopus 로고
    • The method of fundamental solutions for the solution of steady-state free boundary problems
    • A. KARAGEORGHIS, The method of fundamental solutions for the solution of steady-state free boundary problems, J. Comput. Phys., 98 (1992), pp. 119-128.
    • (1992) J. Comput. Phys. , vol.98 , pp. 119-128
    • Karageorghis, A.1
  • 13
    • 0000985731 scopus 로고
    • Fast parallel iterative solution of Poisson's and the biharmonic equation on irregular regions
    • A. MAYO AND A. GREENBAUM, Fast parallel iterative solution of Poisson's and the biharmonic equation on irregular regions, SIAM J. Sci. Statist. Comput., 13 (1992), pp. 101-118.
    • (1992) SIAM J. Sci. Statist. Comput. , vol.13 , pp. 101-118
    • Mayo, A.1    Greenbaum, A.2
  • 18
    • 0000940008 scopus 로고
    • Discrete Riemann-Hilbert problems, interpolation of simply closed curves, and numerical conformal mapping
    • R. WEGMANN, Discrete Riemann-Hilbert problems, interpolation of simply closed curves, and numerical conformal mapping, J. Comput. Appl. Math., 23 (1988), pp. 323-352.
    • (1988) J. Comput. Appl. Math. , vol.23 , pp. 323-352
    • Wegmann, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.