Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Solution by relaxation methods of plane potential problems with mixed boundary conditions

Author: L. Fox
Journal: Quart. Appl. Math. 2 (1944), 251-257
MSC: Primary 65.0X
DOI: https://doi.org/10.1090/qam/10679
MathSciNet review: 10679
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  • [1] R. V. SOUTHWELL, Proc. Roy. Soc. Lon. (A), 151, 59--65 (1935); 153, 41--76 (1935).
  • [2] Relaxation methods applied to engineering problems: I. K. N. E. BRADFIELD and R. V. SOUTHWELL, Deflection of beams under transverse loading, Proc. Roy. Soc. Lon. (A), 161, 155--181 (1937). II. A. N. BLACK and R. V. SOUTHWELL, Basic theory, with applications to surveying and to electrical networks, and an extension to gyrostatic systems, Proc. Roy. Soc. Lon. (A), 164, 447--467 (1938). III. D. G. CHRISTOPHERSON and R. V. SOUTHWELL, Problems involving two independent variables, Proc. Roy. Soc. Lon. (A), 168, 317--350 (1938). IV. K. N. E. BRADFIELD, D. G. CHRISTOPHERSON and R. V. SOUTHWELL, Elastic stability and vibrations, Proc. Roy. Soc. Lon. (A), 169, 289--317 (1939). V. R. W. G. GANDY and R. V. SOUTHWELL, Conformal transformation of a region in plane space, Trans. Roy. Soc. Lon. (A), 238, 453--475 (1940). VI. A. PELLEW and R. V. SOUTHWELL, Natural frequencies of systems having restricted freedom, Proc. Roy. Soc. Lon. (A), 175, 262--290 (1940). VII. F. S. SHAW and R. V. SOUTHWELL, Problems relating to the percolation of fluids through porous materials, Proc. Roy. Soc. Lon. (A), 178, 1--17 (1941). VIII. G. VAISEY and R. V. SOUTHWELL, Plane-potential problems involving specified normal gradients, Proc. Roy. Soc. Lon. (A), 182, 129--151 (1943).
  • [3] L. PRANDTL, Physik. Z., 4, 758--759 (1903).
  • [4] D. G. CHRISTOPHERSON, Trans. A.S.M.E., 62, A1--A4 (1940).

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DOI: https://doi.org/10.1090/qam/10679
Article copyright: © Copyright 1944 American Mathematical Society

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