Algebraic multilevel preconditioning methods. I

@article{Axclsson1989AlgebraicMP,
  title={Algebraic multilevel preconditioning methods. I},
  author={O. Axclsson and Panayot S. Vassilevski},
  journal={Numerische Mathematik},
  year={1989},
  volume={56},
  pages={157-177}
}
  • O. Axclsson, Panayot S. Vassilevski
  • Published 1989
  • Mathematics
  • Numerische Mathematik
  • SummaryA recursive way of constructing preconditioning matrices for the stiffness matrix in the discretization of selfadjoint second order elliptic boundary value problems is proposed. It is based on a sequence of nested finite element spaces with the usual nodal basis functions. Using a nodeordering corresponding to the nested meshes, the finite element stiffness matrix is recursively split up into two-level block structures and is factored approximately in such a way that any successive Schur… CONTINUE READING

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