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KIAM Preprint № 43, Moscow, 2011
Authors: Maksimov D.Yu., Filatov M.A.
Investigation of nonlinear multigrid methods for solving one-phase filtration problem
The paper considers generalizations of geometric multigrid method onto non-linear problems of mathematical physics such as one-phase filtration problem which includes dependence of parameters on pressure. Essential advantage of these methods is that linerization and Jacobian construction are not required. c`c Generalizations were compared against multigrid methods applied to the linearised problem and against Krylov-type methods with ILU preconditioners. The resulting conclusion is applicability of the non-linear full multigrid method. The speed characteristics approximately correspond to those of FGMRes method with ILUT preconditioner.
Publication language: russian,  pages: 26
Research direction:
Mathematical modelling in actual problems of science and technics
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About authors:
  • Maksimov D. Yu.,  KIAM RAS
  • Filatov M.A.