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KIAM Preprint № 64, Moscow, 2013
Authors: Milyukova O. Y., Tishkin V. F.
Method for the numerical solution of heat transfer equation with discontinuous coefficient based on multigrid techniques
Abstract:
A new numerical method for the solution of initial-boundary problems for heat transfer equation with discontinuous coefficient based on multigrid techniques is proposed. Good accuracy of the proposed method was confirmed by numerical tests performed for a two-dimensional model problem on orthogonal grids. The use of the method for the solution of initial-boundary problems for heat transfer equation on refined grids makes it possible to considerably reduce the computational work as compared to either implicit or explicit schemes.
Keywords:
parabolic equations, multigrid methods, numerical accuracy
Publication language: russian,  pages: 19
Research direction:
Mathematical problems and theory of numerical methods
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About authors:
  • Milyukova Olga Yurievna,  orcid.org/0000-0001-7887-8700KIAM RAS
  • Tishkin Vladimir Fedorovich,  orcid.org/0000-0001-7295-7002KIAM RAS