4.7 Article

FOV-equivalent block triangular preconditioners for generalized saddle-point problems

Journal

APPLIED MATHEMATICS LETTERS
Volume 75, Issue -, Pages 43-49

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2017.06.018

Keywords

Preconditioning; Field-of-values-equivalence; Finite elements; Generalized saddle-point problems

Funding

  1. 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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