Bibliography for the Complex Potential

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  1. On complex potentials for finite plane deformation of a transversely isotropic material.
    Akinola, Ade
    Mech. Res. Comm. 32 (2005), no. 1, 99--114, MathSciNet.
  2. Complex potential formalisms for bending of inhomogeneous monoclinic plates including transverse shear deformation.
    Soldatos, Kostas P.
    J. Mech. Phys. Solids 52 (2004), no. 2, 341--357, MathSciNet.
  3. Black-hole thermodynamics and Riemann surfaces
    Krasnov K.
    Classical and Quantum Gravity, 2003, vol. 20, no. 11, pp. 2235-2250(16), Ingenta.   
  4. Complex variable boundary element method for potential flow with thin objects
    Sato K.
    Computer Methods in Applied Mechanics and Engineering, 14 March 2003, vol. 192, no. 11, pp. 1421-1433(13), Ingenta.    
  5. Complex-distance potential theory, wave equations, and physical wavelets
    Kaiser, Gerald
    Mathematical Methods in the Applied Sciences, v 25, n 16-18, November/December 2002, 2002, p 1577-1588, Compendex.  
  6. Analysis of potential flow field in a two-dimensional duct
    Shin J-C.
    Aircraft Engineering and Aerospace Technology: An International Journal, 18 May 2001, vol. 73, no. 3, pp. 271-279(9), Ingenta.   
  7. On the Heat Flow for Harmonic Maps with Potential
    Fardoun A.; Ratto A.; Regbaoui R.
    Annals of Global Analysis and Geometry, December 2000, vol. 18, no. 6, pp. 555-567(13), Ingenta.   
  8. On potential flow past wrinkled discs
    Martin P. A.
    Proceedings: Mathematical, Physical & Engineering Sciences, 1 August 1998, vol. 454, no. 1976, pp. 2209-2221(13), Ingenta.   
  9. Potential/complex-lamellar descriptions of incompressible viscous flow.
    Yokota, Jeffrey W.
    Phys. Fluids 9 (1997), no. 8, 2264--2272, MathSciNet.  
  10. The existence of approximate solutions for two-dimensional potential flow problems.
    Whitley, Robert; Hromadka, T. V., II
    Numer. Methods Partial Differential Equations 12 (1996), no. 6, 719--727, MathSciNet.  
  11. Potential theory in the complex plane.
    Ransford, Thomas
    London Mathematical Society Student Texts, 28. Cambridge University Press, Cambridge, 1995. x+232 pp. ISBN: 0-521-46120-0; 0-521-46654-7, MathSciNet.  
  12. Linear potential theory of steady internal supersonic flow with quasi-cylindrical geometry. I.
    Dillmann, Andreas
    Flow in ducts. J. Fluid Mech. 281 (1994), 159--191, MathSciNet.  
  13. Subsonic Potential Flow and the Transonic Controversy  
    A. J. Guttmann; C. J. Thompson  
    SIAM Journal on Applied Mathematics, Vol. 53, No. 1. (Feb., 1993), pp. 48-59, Jstor.
  14. About a nonstationary mixed problem for holomorphic functions arising by the study of a potential flow past a circular cylinder with permeable surface.
    Reissig, Michael
    Math. Nachr. 164 (1993), 283--297, MathSciNet.  
  15. Potential Flow and Forces for Incompressible Viscous Flow  
    Chien-Cheng Chang  
    Proceedings: Mathematical and Physical Sciences, Vol. 437, No. 1901. (Jun. 8,  1992), pp. 517-525, Jstor.
  16. When Do Orthogonal Families of Curves Possess a Complex Potential?  
    Irl C. Bivens  
    Mathematics Magazine, Vol. 65, No. 4. (Oct., 1992), pp. 226-235, Jstor.
  17. Numerical Simulation of the Motion of Rigid Spheres in Potential Flow  
    Hyun S. Kim; Andrea Prosperetti  
    SIAM Journal on Applied Mathematics, Vol. 52, No. 6. (Dec., 1992), pp. 1533-1562, Jstor.
  18. Complex variable element solution of potential flow problems using Taylor series for error analysis.
    Hromadka, T. V., II; Whitley, R. J.
    Appl. Math. Modelling 16 (1992), no. 3, 114--123, MathSciNet.  
  19. Algorithm for solving the plane elastoplastic problem, based on use of the method of complex potentials and the method of conformal representations
    Mozharovskii, N.S.;  Bilyk, I.A.;  Shestopal, A.L.
    Strength of Materials (English translation of Problemy Prochnosti), v 23, n 3, Nov, 1991, p 285-289, Compendex.  
  20. Three-dimensional potential flows from functions of a 3D complex variable
    Kelly, Patrick; Panton, Ronald L.;  Martin, E. Dale
    Fluid Dynamics Research, v 6, n 3-4, Oct, 1990, p 119-137, Compendex.  
  21. Unsteady potential flow past a circular cylinder with permeable surface.
    von Wolfersdorf, L.
    Z. Angew. Math. Mech. 69 (1989), no. 9, 285--298, MathSciNet.  
  22. Two-dimensional rotational and associated potential flows described by some complex trigonometric functions
    Zarea, Stefan
    American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED, 1998, FEDSM98-4995, 10p, Compendex.  
  23. Plane potential flow past a cylinder with porous surface.
    Wegert, E.; von Wolfersdorf, L.
    Math. Methods Appl. Sci. 9 (1987), no. 4, 587--605, MathSciNet.  
  24. On the Uniqueness of the Inverse Logarithmic Potential Problem  
    V. N. Strakhov; M. A. Brodsky  
    SIAM Journal on Applied Mathematics, Vol. 46, No. 2. (Apr., 1986), pp. 324-344, Jstor.   
  25. Finite Element Technique for Optimal Pressure Recovery from Stream Function Formulation of Viscous Flows  
    M. E. Cayco; R. A. Nicolaides  
    Mathematics of Computation, Vol. 46, No. 174. (Apr., 1986), pp. 371-377, Jstor.   
  26. Multigrid calculation of transonic potential flows.
    Caughey, D. A.; Shmilovich, Arvin
    Advances in computational transonics, 83--108, Recent Adv. Numer. Methods Fluids, 4, Pineridge, Swansea, 1985, MathSciNet.  
  27. The Potential Flow Bounded by a Mixing Layer and a Solid Surface  
    D. H. Wood; J. H. Ferziger  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 395, No. 1809. (Oct. 8, 1984), pp. 265-290, Jstor.   
  28. Potential Flow Around a Thin Oblate Body of Revolution  
    Richard N. Barshinger; James F. Geer  
    SIAM Journal on Applied Mathematics, Vol. 43, No. 1. (Feb., 1983), pp. 212-224, Jstor.   
  29. Conservative full potential, implicit marching scheme for supersonic flows.
    Shankar, Vijaya
    AIAA J. 20 (1982), no. 11, 1508--1514. 76-08 (76J99)
  30. The Electrostatic Potential Field About a Thin Oblate Body of Revolution  
    Richard N. Barshinger; James F. Geer  
    SIAM Journal on Applied Mathematics, Vol. 41, No. 1. (Aug., 1981), pp. 112-126, Jstor.   
  31. The Potential of a Horizontal Ring of Wave Sources in a Fluid with a Free Surface  
    A. Hulme  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 375, No. 1761. (Mar. 13, 1981), pp. 295-305, Jstor.   
  32. Approximation and harmonic continuation of axially symmetric potentials in E3.
    McCoy, Peter A.
    Pacific J. Math. 81 (1979), no. 2, 481--491, MathSciNet.  
  33. The mathematical basis and numerical principles of the boundary integral method for incompressible potential flow over 3-D aerodynamic configurations.
    Hunt, B.
    Numerical methods in applied fluid dynamics (Reading, 1978), pp. 49--135, Academic Press, London-New York, 1980, MathSciNet.  
  34. Applications of Conformal Mapping to Potential Theory Through Computer Graphics  
    Donald T. Piele; Morris W. Firebaugh; Robert Manulik  
    American Mathematical Monthly, Vol. 84, No. 9. (Nov., 1977), pp. 677-692, Jstor.  
  35. The "directional" source--a new type of singularity in potential flow.
    Weihs, D.
    Proceedings of the Israel Annual Conference on Aviation and Astronautics, Eighteenth (Tel Aviv/Haifa, 1976). Israel J. Tech. 14 (1976), no. 1--2, 3--8, MathSciNet.  
  36. Uniform Asymptotic Solutions for the Two-Dimensional Potential Field About a Slender Body  
    James F. Geer  
    SIAM Journal on Applied Mathematics, Vol. 26, No. 3. (May, 1974), pp. 539-553, Jstor.   
  37. An expression of the potential function for third kind boundary conditions.
    Nicolaide, Andrei
    Rev. Roumaine Sci. Tech. Sér. Électrotech. Énergét. 16 (1971), 223--233, MathSciNet.  
  38. Flow Past a Cave: A Problem in Potential Theory  
    Robert B. Kelman  
    SIAM Journal on Applied Mathematics, Vol. 17, No. 5. (Sep., 1969), pp. 909-920, Jstor.   
  39. Uniform Asymptotic Solutions for Potential Flow Around a Thin Airfoil and the Electrostatic Potential About a Thin Conductor  
    James F. Geer; Joseph B. Keller  
    SIAM Journal on Applied Mathematics, Vol. 16, No. 1. (Jan., 1968), pp. 75-101, Jstor.   
  40. Some Results in Vector Potential Theory  
    J. M. Doyle
    The American Mathematical Monthly, Vol. 74, No. 4. (Apr., 1967), pp. 392-399, Jstor.   
  41. Numerical Solution for Flux Components in Potential Flow  
    Dale U. von Rosenberg  
    Mathematics of Computation, Vol. 21, No. 100. (Oct., 1967), pp. 620-628, Jstor.   
  42. Potentials for tangent tensor fields on spheroids.
    Backus, George E.
    Arch. Rational Mech. Anal. 22 1966 210--252, MathSciNet.  
  43. Integral Equation Methods in Potential Theory. II  
    G. T. Symm
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 275, No. 1360. (Aug. 20, 1963), pp. 33-46, Jstor.   
  44. A Rapidly Convergent Procedure for Solving the Equations of Subsonic Potential Flow. II. Analytic Solutions  
    A. B. Tayler  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 255, No. 1280. (Mar. 22, 1960), pp. 114-123, Jstor.   
  45. Potential Theory in Bounded Symmetric Homogeneous Complex Domains  
    David B. Lowdenslager  
    The Annals of Mathematics, 2nd Ser., Vol. 67, No. 3. (May, 1958), pp. 467-484, Jstor.
  46. On Solving Fredholm Integral Equations: Applications to Conformal Mapping and Variational Problems of Potential Theory  
    E. Stiefel  
    Journal of the Society for Industrial and Applied Mathematics, Vol. 4, No. 2. (Jun., 1956), pp. 63-85, Jstor.   
  47. Potential Theory in the Geometry of Matrices  
    Josephine Mitchell  
    Transactions of the American Mathematical Society, Vol. 79, No. 2. (Jul., 1955), pp. 401-422, Jstor.   
  48. On Existence Theorems of Potential Theory and Conformal Mapping  
    P. R. Garabedian; M. Schiffer  
    The Annals of Mathematics, 2nd Ser., Vol. 52, No. 1. (Jul., 1950), pp. 164-187, Jstor.   
  49. On the use of a complex (quaternion) velocity potential in three dimensions.
    Rose, Alan
    Comment. Math. Helv. 24, (1950). 135--148, MathSciNet.  
  50. Discontinuous Integrals and Generalized Potential Theory  
    Alexander Weinstein  
    Transactions of the American Mathematical Society, Vol. 63, No. 2. (Mar., 1948), pp. 342-354, Jstor.   
  51. An Integral Equation Occurring in Potential Theory  
    Edmund Pinney  
    The Annals of Mathematics, 2nd Ser., Vol. 47, No. 2. (Apr., 1946), pp. 221-232, Jstor.   
  52. Rational Functions of a Complex Variable and Related Potential Curves  
    Edward Kasner; John De Cicco  
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 32, No. 11 (Nov., 1946), pp. 280-282, Jstor.  
  53. Velocity distribution on wing sections of arbitrary shape in compressible potential flow. II. Subsonic symmetric adiabatic flows.
    Bers, Lipman
    Tech. Notes Nat. Adv. Comm. Aeronaut., 1946, (1946). no. 1012, 53 pp., MathSciNet.  
  54. Velocity distribution on wing sections of arbitrary shape in compressible potential flow. I. Symmetric flows obeying the simplified density-speed relation.
    Bers, Lipman
    Tech. Notes Nat. Adv. Comm. Aeronaut., 1946, (1946). no. 1006, 32 pp., MathSciNet.  
  55. Two-dimensional boundary value problems in potential theory.
    Sokolnikoff, I. S.; Specht, R. D.
    J. Appl. Phys. 14, (1943). 91--95, MathSciNet.  
  56. Complements of Potential Theory. Part II  
    Griffith C. Evans  
    American Journal of Mathematics, Vol. 55, No. 1/4. (1933), pp. 29-49, Jstor.   
  57. Two Problems in Potential Theory  
    Thornton C. Fry  
    The American Mathematical Monthly, Vol. 39, No. 4. (Apr., 1932), pp. 199-209, Jstor.   
  58. Two-Dimensional Potential Problems Concerning a Single Closed Boundary  
    W. G. Bickley  
    Philosophical Transactions of the Royal Society of London. Series A, Containing Papers of a Mathematical or Physical Character, Vol. 228. (1929), pp. 235-274, Jstor.   
  59. Electrification of an Insulated Lens, Treated by the Stream-Force-Function; and Allied Problems  
    G. Greenhill  
    Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, Vol. 98, No. 693. (Feb. 2, 1921), pp. 345-359, Jstor.   
  60. On Logarithmic Potential and Analytic Functions  
    C. W. Emmons  
    The American Mathematical Monthly, Vol. 17, No. 11. (Nov., 1910), pp. 205-213, Jstor.   
  61. Potential Functions on the Boundary of Their Regions of Definition  
    O. D. Kellogg  
    Transactions of the American Mathematical Society, Vol. 9, No. 1. (Jan., 1908), pp. 39-50, Jstor.   

 

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