Sharp condition number estimates for the symmetric 2-lagrange multiplier method

Stephen W. Drury, Sébastien Loisel

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Domain decomposition methods are used to find the numerical solution of large boundary value problems in parallel. In optimized domain decomposition methods, one solves a Robin subproblem on each subdomain, where the Robin parameter a must be tuned (or optimized) for good performance.We show that the 2-Lagrange multiplier method can be analyzed using matrix analytical techniques and we produce sharp condition number estimates.

LanguageEnglish
Title of host publicationDomain Decomposition Methods in Science and Engineering XX
Subtitle of host publicationPart II
Pages255-261
Number of pages7
Volume91
ISBN (Electronic)978-3-642-35275-1
DOIs
Publication statusPublished - 2013

Publication series

NameLecture Notes in Computational Science and Engineering
Volume91
ISSN (Print)1439-7358

Fingerprint

Lagrange multiplier Method
Domain decomposition methods
Lagrange multipliers
Domain Decomposition Method
Condition number
Estimate
Boundary value problems
Boundary Value Problem
Numerical Solution

ASJC Scopus subject areas

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

Cite this

Drury, S. W., & Loisel, S. (2013). Sharp condition number estimates for the symmetric 2-lagrange multiplier method. In Domain Decomposition Methods in Science and Engineering XX: Part II (Vol. 91, pp. 255-261). (Lecture Notes in Computational Science and Engineering; Vol. 91). https://doi.org/10.1007/978-3-642-35275-1_29
Drury, Stephen W. ; Loisel, Sébastien. / Sharp condition number estimates for the symmetric 2-lagrange multiplier method. Domain Decomposition Methods in Science and Engineering XX: Part II. Vol. 91 2013. pp. 255-261 (Lecture Notes in Computational Science and Engineering).
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Drury, SW & Loisel, S 2013, Sharp condition number estimates for the symmetric 2-lagrange multiplier method. in Domain Decomposition Methods in Science and Engineering XX: Part II. vol. 91, Lecture Notes in Computational Science and Engineering, vol. 91, pp. 255-261. https://doi.org/10.1007/978-3-642-35275-1_29

Sharp condition number estimates for the symmetric 2-lagrange multiplier method. / Drury, Stephen W.; Loisel, Sébastien.

Domain Decomposition Methods in Science and Engineering XX: Part II. Vol. 91 2013. p. 255-261 (Lecture Notes in Computational Science and Engineering; Vol. 91).

Research output: Chapter in Book/Report/Conference proceedingChapter

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Drury SW, Loisel S. Sharp condition number estimates for the symmetric 2-lagrange multiplier method. In Domain Decomposition Methods in Science and Engineering XX: Part II. Vol. 91. 2013. p. 255-261. (Lecture Notes in Computational Science and Engineering). https://doi.org/10.1007/978-3-642-35275-1_29