In this paper we present two recent results for matrices arising in the mixed finite element method on triangular meshes. The first result is an algebraic proof for the discrete LBB condition. The second one is a new algorithm for the construction of a two-level spectrally equivalent preconditioner for the condensed matrix.
Editor-in-Chief: Marchuk, Guri I.
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Matrix analysis of mixed finite element methods for the diffusion equation. I
Yu. A. Kuznetsov∗
1∗ Department of Mathematics, University of Houston, 651 Philip G. Hoffman Hall, Houston, TX 77204–3008, USA; Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow GSP-1, 119991, Russia
Citation Information: Russian Journal of Numerical Analysis and Mathematical Modelling rnam. Volume 20, Issue 3, Pages 263–281, ISSN (Online) 1569-3988, ISSN (Print) 0927-6467, DOI: 10.1515/1569398054308586,
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