Numerische Mathematik

, Volume 63, Issue 1, pp 503-520

Multilevel iterative methods for mixed finite element discretizations of elliptic problems

  • Panayot S. VassilevskiAffiliated withDepartment of Mathematics, University of Wyoming
  • , Junping WangAffiliated withDepartment of Mathematics, University of Wyoming

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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)

65N30 65F10