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Alternating-direction iteration for mixed finite element methods. (English) Zbl 0677.65105
Computing methods in applied sciences and engineering VII, Proc. 7th Int. Symp., Versailles/France 1985, 181-196 (1986).
Summary: [For the entire collection see Zbl 0651.00020.]
We formulate alternating-direction iterative methods of two types for treating the linear equations arising from mixed finite element methods for second order elliptic problems. Both types are related to iterative methods for arbitrary saddle point problems, though our discretization of the virtual time variable or variables is different. We recall some theoretical results from recent papers of the authors and then present the results of several numerical experiments.

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65F10 Iterative numerical methods for linear systems
35J25 Boundary value problems for second-order elliptic equations
Zbl 0651.00020