Multilevel iterative methods for mixed finite element discretizations of elliptic problems
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- Vassilevski, P.S. & Wang, J. Numer. Math. (1992) 63: 503. doi:10.1007/BF01385872
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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.