@inbook{5c7087b440654a319ddecfe70ccb139a,
title = "Robust block preconditioners for biot{\textquoteright}s model",
abstract = "In this paper, we design robust and efficient block preconditioners for the two-field formulation of Biot{\textquoteright}s consolidation model, where stabilized finite-element discretizations are used. The proposed block preconditioners are based on the well-posedness of the discrete linear systems. Block diagonal (norm-equivalent) and block triangular preconditioners are developed, and we prove that these methods are robust with respect to both physical and discretization parameters. Numerical results are presented to support the theoretical results.",
author = "Adler, {James H.} and Gaspar, {Francisco J.} and Xiaozhe Hu and Carmen Rodrigo and Zikatanov, {Ludmil T.}",
note = "Publisher Copyright: {\textcopyright} 2018, Springer International Publishing AG, part of Springer Nature.",
year = "2018",
doi = "10.1007/978-3-319-93873-8_1",
language = "English (US)",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer Verlag",
pages = "3--16",
booktitle = "Lecture Notes in Computational Science and Engineering",
address = "Germany",
}