Robust block preconditioners for biot’s model

James H. Adler, Francisco J. Gaspar, Xiaozhe Hu, Carmen Rodrigo, Ludmil T. Zikatanov

Research output: Chapter in Book/Report/Conference proceedingChapter

15 Scopus citations

Abstract

In this paper, we design robust and efficient block preconditioners for the two-field formulation of Biot’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.

Original languageEnglish (US)
Title of host publicationLecture Notes in Computational Science and Engineering
PublisherSpringer Verlag
Pages3-16
Number of pages14
DOIs
StatePublished - Jan 1 2018

Publication series

NameLecture Notes in Computational Science and Engineering
Volume125
ISSN (Print)1439-7358

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Engineering(all)
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics

Fingerprint Dive into the research topics of 'Robust block preconditioners for biot’s model'. Together they form a unique fingerprint.

Cite this