S. Christiansen. A comparison of various integral equations for treating the Dirichlet problem. In C. T. H. Baker and G. F. Miller, editors, Treatment of Integral Equations by Numerical Methods, pages 12--24. Academic Press, 1982.  Home/Search   Document Not in Database   Summary   Related Articles

....squares or Chebyshev method can be used depending on whether p = 2 or p = 1 respectively. If the solution must be computed at m interface points i j , form the influence matrix H 2 m ThetaN with general term Gamma 1 2 log ji k Gamma w j j and compute u = Hoe. G can be ill conditioned [3, 4] and care must be exercised. The effects of ill conditioning may be less serious to the solution u since H has the same format as G and if N = n then u = HG Gamma1 g. Finally to solve in each subdomain, use a suitable direct or iterative scheme. By choosing the fundamental solutions OE j ....

S. Christiansen. A comparison of various integral equations for treating the Dirichlet problem. In C. T. H. Baker and G. F. Miller, editors, Treatment of Integral Equations by Numerical Methods, pages 12--24. Academic Press, 1982.

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