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Solution of Dirichlet problem for a rectangular region in terms of elliptic functions

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Pages 1417-1426 | Received 23 Oct 2003, Accepted 26 Mar 2004, Published online: 25 Jan 2007

References

References

  • Brovar , VV , Kopeikina , ZS and Pavlova , MV . (2001) . Solution of the Dirichlet and Stokes exterior boundary problems for the earth's ellipsoid . J. Geodesy , 74 : 767 – 772 .
  • Sezer , M . (1992) . Solution of Dirichlet problem in terms of elliptic functions . Yildiz University Dergisi , 4 : 65 – 68 .
  • Lanzara , F . (1998) . Numerical approximation of eigenvalues and of Green's operator for an elliptic boundary value problem . Calcolo , 35 : 63 – 92 .
  • Marshakov , A , Wiegmann , P and Zabrodin , A . (2002) . Integrable structure of the Dirichlet boundary problem in two dimensions . Commun. Math. Phys. , 227 : 131 – 153 .
  • Bryd PF Friedman MD (1954) Handbook of Elliptic Integrals of Engineers and Physicists, Springer-Verlag Berlin

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