Numerische Mathematik

, Volume 63, Issue 1, pp 503–520

Multilevel iterative methods for mixed finite element discretizations of elliptic problems

  • Panayot S. Vassilevski
  • Junping Wang

DOI: 10.1007/BF01385872

Cite this article as:
Vassilevski, P.S. & Wang, J. Numer. Math. (1992) 63: 503. doi:10.1007/BF01385872


For solving second order elliptic problems discretized on a sequence of nested mixed finite element spaces nearly optimal iterative methods are proposed. The methods are within the general framework of the product (multiplicative) scheme for operators in a Hilbert space, proposed recently by Bramble, Pasciak, Wang, and Xu [5,6,26,27] and make use of certain multilevel decomposition of the corresponding spaces for the flux variable.

Mathematics Subject Classification (1991)


Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • Panayot S. Vassilevski
    • 1
  • Junping Wang
    • 1
  1. 1.Department of MathematicsUniversity of WyomingLaramieUSA