TY - JOUR
T1 - FOV-equivalent block triangular preconditioners for generalized saddle-point problems
AU - Aulisa, Eugenio
AU - Calandrini, Sara
AU - Capodaglio, Giacomo
N1 - Publisher Copyright:
© 2017 Elsevier Ltd
PY - 2018/1
Y1 - 2018/1
N2 - 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.
AB - 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.
KW - Field-of-values-equivalence
KW - Finite elements
KW - Generalized saddle-point problems
KW - Preconditioning
UR - http://www.scopus.com/inward/record.url?scp=85024887492&partnerID=8YFLogxK
U2 - 10.1016/j.aml.2017.06.018
DO - 10.1016/j.aml.2017.06.018
M3 - Article
AN - SCOPUS:85024887492
VL - 75
SP - 43
EP - 49
JO - Applied Mathematics Letters
JF - Applied Mathematics Letters
SN - 0893-9659
ER -