메뉴 건너뛰기




Volumn 67, Issue 222, 1998, Pages 619-639

Numerical conformal mapping based on the generalised conjugation operator

Author keywords

Boundary integral equation; Conjugation operator; Numerical conformal mapping

Indexed keywords


EID: 0038931331     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0025-5718-98-00957-0     Document Type: Article
Times cited : (5)

References (36)
  • 1
    • 0039781592 scopus 로고
    • Development of a general finite difference approximation for a general, domain. Part i: Machine transformation
    • W. H. Chu, Development of a general finite difference approximation for a general, domain. Part I: Machine Transformation, J. Comp. Phys. 8 (1971), 392-408.
    • (1971) J. Comp. Phys. , vol.8 , pp. 392-408
    • Chu, W.H.1
  • 2
    • 0039235671 scopus 로고
    • Transformation of three-dimensional regions onto rectangular regions by elliptic systems
    • MR 57:14491
    • C. W. Mastin and J. F. Thompson, Transformation of three-dimensional regions onto rectangular regions by elliptic systems, Numer. Math. 29 (1978), 397-407. MR 57:14491
    • (1978) Numer. Math. , vol.29 , pp. 397-407
    • Mastin, C.W.1    Thompson, J.F.2
  • 3
    • 0011483833 scopus 로고
    • A method for generation of orthogonal and nearly orthogonal boundary-fitted coordinate systems
    • MR 82m:65026
    • H. J. Haussling and R. M. Coleman, A method for generation of orthogonal and nearly orthogonal boundary-fitted coordinate systems, J. Comp. Phys. 43 (1981), 373-381. MR 82m:65026
    • (1981) J. Comp. Phys. , vol.43 , pp. 373-381
    • Haussling, H.J.1    Coleman, R.M.2
  • 4
    • 0040968052 scopus 로고
    • Orthogonal coordinate meshes with manageable Jacobian
    • CMP 15:03
    • C. I. Christov, Orthogonal coordinate meshes with manageable Jacobian, Appl. Math. Comp. 10 (1982), 885-894. CMP 15:03
    • (1982) Appl. Math. Comp. , vol.10 , pp. 885-894
    • Christov, C.I.1
  • 5
    • 49049136186 scopus 로고
    • Boundary-fitted coordinate systems for numerical solution of partial differential equations - A review
    • MR 84e:65120
    • J. F. Thompson, Z. U. A. Warsi, and C. W. Mastin, Boundary-fitted coordinate systems for numerical solution of partial differential equations - a review, J Comp. Phys. 47 (1982), 1-108. MR 84e:65120
    • (1982) J Comp. Phys. , vol.47 , pp. 1-108
    • Thompson, J.F.1    Warsi, Z.U.A.2    Mastin, C.W.3
  • 6
    • 0040373754 scopus 로고
    • A method for generating boundary-orthogonal curvilinear coordinate systems using a biharmonic equation
    • MR 87b:65218
    • P. D. Sparis, A method for generating boundary-orthogonal curvilinear coordinate systems using a biharmonic equation, J. Comp. Phys. 61 (1985), 445-462. MR 87b:65218
    • (1985) J. Comp. Phys. , vol.61 , pp. 445-462
    • Sparis, P.D.1
  • 7
    • 0016984739 scopus 로고
    • A modern, look at conformal mapping including multiply connected regions
    • MR 58:3956
    • D. C. Ives, A modern, look at conformal mapping including multiply connected regions, AIAA J. 14 (1976), 1006-1011. MR 58:3956
    • (1976) AIAA J. , vol.14 , pp. 1006-1011
    • Ives, D.C.1
  • 8
    • 0022659090 scopus 로고
    • The newton method for solving the theodorsen equation
    • MR 87c:30012
    • O. Hübner, The Newton method for solving the Theodorsen equation, J. Comp. Appl. Math. 14 (1986), 19-30. MR 87c:30012
    • (1986) J. Comp. Appl. Math. , vol.14 , pp. 19-30
    • Hübner, O.1
  • 9
    • 0039781483 scopus 로고
    • Applications of numerical conformal mapping
    • MR, 83e:30011
    • D. I. Meiron, S. A. Orszag, and M. Israeli, Applications of numerical conformal mapping, J. Comput. Phys. 40 (1981), 345-360. MR, 83e:30011
    • (1981) J. Comput. Phys. , vol.40 , pp. 345-360
    • Meiron, D.I.1    Orszag, S.A.2    Israeli, M.3
  • 10
    • 0003956717 scopus 로고
    • Dover Publications, New York, MR 51:13206
    • Z. Nehari, Conformal Mapping, Dover Publications, New York, 1975. MR 51:13206
    • (1975) Conformal Mapping
    • Nehari, Z.1
  • 11
    • 0010727204 scopus 로고
    • An integral equation method in conformal mapping
    • MR 34:7056
    • G. T. Symm, An integral equation method in conformal mapping, Numer. Math. 9 (1966), 250-258. MR 34:7056
    • (1966) Numer. Math. , vol.9 , pp. 250-258
    • Symm, G.T.1
  • 12
    • 0013694555 scopus 로고
    • Numerical mapping of exterior domains
    • MR 36:3525
    • _, Numerical mapping of exterior domains, Numer. Math. 10 (1967), 437-445. MR 36:3525
    • (1967) Numer. Math. , vol.10 , pp. 437-445
  • 14
    • 0040968046 scopus 로고
    • The use of splines and singular functions m an integral equation method for conformal mapping
    • MR 82e:30012
    • D. M. Hough and N. Papamichael, The use of splines and singular functions m an integral equation method for conformal mapping, Numer. Math. 37 (1981), 133-147. MR 82e:30012
    • (1981) Numer. Math. , vol.37 , pp. 133-147
    • Hough, D.M.1    Papamichael, N.2
  • 15
    • 0022661835 scopus 로고
    • A fredholm integral equation of the second kind for conformal mapping
    • MR 87d:30011
    • J. P. Berrut, A Fredholm integral equation of the second kind for conformal mapping, J. Comp. Appl. Math. 14 (1986), 99-110. MR 87d:30011
    • (1986) J. Comp. Appl. Math. , vol.14 , pp. 99-110
    • Berrut, J.P.1
  • 16
    • 0003969417 scopus 로고
    • Theory of wing sections of arbitrary shape
    • T. Theodorsen, Theory of Wing Sections of Arbitrary Shape, NACA Report 411, 1931.
    • (1931) NACA Report 411
    • Theodorsen, T.1
  • 17
    • 0009362884 scopus 로고
    • General potential theory of arbitrary wing sections
    • T. Theodorsen and I. E. Garrick, General Potential Theory of Arbitrary Wing Sections, NACA Report 452, 1933.
    • (1933) NACA Report 452
    • Theodorsen, T.1    Garrick, I.E.2
  • 18
    • 84894793072 scopus 로고
    • The direct and the inverse problem of aerofoil theory, a method to obtain numerical solutions
    • Amsterdam
    • R. Timman, The direct and the inverse problem of aerofoil theory, a method to obtain numerical solutions, Nat. Luchtiv. Labor., Report F.16, Amsterdam, 1951.
    • (1951) Nat. Luchtiv. Labor., Report F.16
    • Timman, R.1
  • 20
    • 23544460259 scopus 로고
    • An approximation of the analytic function mapping: A given domain inside or outside the unit circle
    • MR 22:8112
    • H. Bergström, An approximation of the analytic function mapping: a given domain inside or outside the unit circle, Mem. Publ. Soc. Sci. Arts Lettr. Hainant, Volume Hors Serie (1958), 193-198. MR 22:8112
    • (1958) Mem. Publ. Soc. Sci. Arts Lettr. Hainant, Volume Hors Serie , pp. 193-198
    • Bergström, H.1
  • 21
    • 0040968051 scopus 로고
    • Approximate construction of some conformal mappings (in Russian)
    • MR 20:5854
    • B. A. Vertgeim, Approximate construction of some conformal mappings (in Russian), Doklady Akad. Nauk SSSR 119 (1958), 12-14. MR 20:5854
    • (1958) Doklady Akad. Nauk SSSR , vol.119 , pp. 12-14
    • Vertgeim, B.A.1
  • 22
    • 0001436232 scopus 로고
    • Ein iterationsverfahren zur komformen abbildung
    • MR 58:11345
    • R. Wegmann, Ein Iterationsverfahren zur komformen Abbildung, Numer. Math. 30 (1978), 453-466. MR 58:11345
    • (1978) Numer. Math. , vol.30 , pp. 453-466
    • Wegmann, R.1
  • 23
    • 0022890211 scopus 로고
    • On fornberg's numerical method for conformal mapping
    • MR 87m:30012
    • _, On Fornberg's numerical method for conformal mapping, SIAM J. Numer. Anal. 23 (1986), 1199-1213. MR 87m:30012
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 1199-1213
  • 24
    • 0022661540 scopus 로고
    • An iterative method for the conformal mapping of doubly connected regions
    • MR 87e:30008
    • _, An iterative method for the conformal mapping of doubly connected regions, J. Comp. Appl. Math. 14 (1986), 79-98. MR 87e:30008
    • (1986) J. Comp. Appl. Math. , vol.14 , pp. 79-98
  • 25
    • 0000268608 scopus 로고
    • A numerical method for conformal mappings
    • MR 81m:30009
    • B. Fornberg, A numerical method for conformal mappings, SIAM J. Sci. Stat. Comput. 1 (1980), 386-400. MR 81m:30009
    • (1980) SIAM J. Sci. Stat. Comput. , vol.1 , pp. 386-400
    • Fornberg, B.1
  • 26
    • 0039189155 scopus 로고
    • A numerical method for conformal mapping of doubly connected regions
    • MR 86b:30009
    • _, A numerical method for conformal mapping of doubly connected regions, SIAM J. Sci. Stat. Comput. 5 (1984), 771-783. MR 86b:30009
    • (1984) SIAM J. Sci. Stat. Comput. , vol.5 , pp. 771-783
  • 27
    • 0039048575 scopus 로고
    • The application of numerical methods to the conformal transformation of polygonal boundaries
    • MR 49:8:297
    • D. Howe, The application of numerical methods to the conformal transformation of polygonal boundaries, J. Inst. Math. Appl. 12 (1973), 125-136. MR 49:8:297
    • (1973) J. Inst. Math. Appl. , vol.12 , pp. 125-136
    • Howe, D.1
  • 28
    • 0039781586 scopus 로고
    • Determination of the parameters of the conformal mapping of simply connected polygonal regions
    • V. V. Vecheslavov and V. I. Kokoulin, Determination of the parameters of the conformal mapping of simply connected polygonal regions. U.S.S.R. Comp. Math. and Math. Phys. 13 (1974), 57-65.
    • (1974) U.S.S.R. Comp. Math. and Math. Phys. , vol.13 , pp. 57-65
    • Vecheslavov, V.V.1    Kokoulin, V.I.2
  • 29
    • 0002075581 scopus 로고
    • Numerical computation of the schwarz-christoffel transformation
    • MR 81g:30012a
    • L. N. Trefethen, Numerical computation of the Schwarz-Christoffel transformation, SIAM J. Sci. Stat. Comput. 1 (1980), 82-102. MR 81g:30012a
    • (1980) SIAM J. Sci. Stat. Comput. , vol.1 , pp. 82-102
    • Trefethen, L.N.1
  • 31
    • 0022662625 scopus 로고
    • Numerical conformal mapping methods based on function, conjugation
    • MR 87f:30015
    • M. H. Gutknecht, Numerical conformal mapping methods based on function, conjugation, J. Comp. Appl. Math. 14 (1986), 31-77. MR 87f:30015
    • (1986) J. Comp. Appl. Math. , vol.14 , pp. 31-77
    • Gutknecht, M.H.1
  • 34
    • 0039189152 scopus 로고
    • An estimate for crowding in conformal mapping to elongated regions
    • MR 93f:30007
    • R. Wegmann, An estimate for crowding in conformal mapping to elongated regions, Complex Variables 18 (1992), 193-199. MR 93f:30007
    • (1992) Complex Variables , vol.18 , pp. 193-199
    • Wegmann, R.1
  • 35
    • 0028445787 scopus 로고
    • The accuracy of numerical conformal mapping methods: A survey of examples and results
    • MR. 95a:30005
    • T. K. DeLillo, The accuracy of numerical conformal mapping methods: a survey of examples and results. SIAM J. Numer. Anal. 31 (1994). 788-812. MR. 95a:30005
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 788-812
    • DeLillo, T.K.1
  • 36
    • 0004175163 scopus 로고
    • John Wiley & Sons, New York, MR 81a:15003
    • P. J. Davis, Circulant Matrices, John Wiley & Sons, New York, 1979. MR 81a:15003
    • (1979) Circulant Matrices
    • Davis, P.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.