Journal
APPLIED MATHEMATICS LETTERS
Volume 75, Issue -, Pages 43-49Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2017.06.018
Keywords
Preconditioning; Field-of-values-equivalence; Finite elements; Generalized saddle-point problems
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Funding
- National Science Foundation [DMS-1412796]
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We present sufficient conditions for field-of-values-equivalence between block triangular preconditioners and generalized saddle-point matrices arising from inf-sup stable finite element discretizations. We generalize a result by Loghin and Wathen (2004) for matrices with a pure saddle-point structure to the case where the (2, 2) block is non-zero. Moreover, we extend the analysis to the case where the (2, 1) block is not the transpose of the (1, 2) block. (C) 2017 Elsevier Ltd. All rights reserved.
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