Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 43-49 |
| Number of pages | 7 |
| Journal | Applied Mathematics Letters |
| Volume | 75 |
| DOIs | |
| State | Published - Jan 2018 |
Keywords
- Field-of-values-equivalence
- Finite elements
- Generalized saddle-point problems
- Preconditioning
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Aulisa, E., Calandrini, S., & Capodaglio, G. (2018). FOV-equivalent block triangular preconditioners for generalized saddle-point problems. Applied Mathematics Letters, 75, 43-49. https://doi.org/10.1016/j.aml.2017.06.018