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KIAM Preprint № 4, Moscow, 1995
Authors: Voronkov A.V., Ryaben'kii V. S., Sofronov I. L., Sychugova E. P.
Solution of the Diffusion Equation in R-Z Geometry by the Difference Potentials Method.
Abstract:
An algorithm for solving the diffusion equation in R-Z geometry by the Difference Potentials Method is proposed. This algorithm is efficient for the problems with zone structure of computational domain. The algorithm is evaluated to require O(|ln ε|) iterations to find the solution with prescribed accuracy ε > 0. The number of iterations is shown to depend on the mesh sizes weakly.
Publication language: russian
Research direction:
Mathematical problems and theory of numerical methods
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About authors:
  • Voronkov A. V.,  KIAM RAS
  • Ryaben'kii Victor Solomonovich,  KIAM RAS
  • Sofronov Ivan Lvovich,  KIAM RAS
  • Sychugova E. P.,  KIAM RAS