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Zbl 1074.65527
Brandts, Jan; Stevenson, Rob
A stable and optimal complexity solution method for mixed finite element discretizations. (English)
[J] Math. Bohem. 127, No. 2, 153-161 (2002). ISSN 0862-7959

Summary: We outline a solution method for mixed finite element discretizations based on dissecting the problem into three separate steps. The first handles the inhomogeneous constraint, the second solves the flux variable from the homogeneous problem, whereas the third step, adjoint to the first, finally gives the Lagrangian multiplier. We concentrate on aspects involved in the first and third step mainly, and advertise a multi-level method that allows for a stable computation of the intermediate and final quantities in optimal computational complexity.

MSC 2000:: *65N30 Finite numerical methods (BVP of PDE)
65N55 Multigrid methods; domain decomposition (BVP of PDE)
65F05 Direct methods for linear systems

Keywords: mixed finite elements; multi-level solver

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