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

Stephen W. Drury; Sébastien Loisel

doi:10.1007/978-3-642-35275-1_29

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

Stephen W. Drury, Sébastien Loisel

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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.

Original language	English
Title of host publication	Domain Decomposition Methods in Science and Engineering XX
Subtitle of host publication	Part II
Pages	255-261
Number of pages	7
Volume	91
ISBN (Electronic)	978-3-642-35275-1
DOIs	https://doi.org/10.1007/978-3-642-35275-1_29
Publication status	Published - 2013

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	91
ISSN (Print)	1439-7358

ASJC Scopus subject areas

General Engineering
Computational Mathematics
Modelling and Simulation
Control and Optimization
Discrete Mathematics and Combinatorics

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10.1007/978-3-642-35275-1_29

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title = "Sharp condition number estimates for the symmetric 2-lagrange multiplier method",

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.",

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AU - Loisel, Sébastien

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Y1 - 2013

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84880483773

U2 - 10.1007/978-3-642-35275-1_29

DO - 10.1007/978-3-642-35275-1_29

M3 - Chapter

AN - SCOPUS:84880483773

SN - 9783642352744

VL - 91

T3 - Lecture Notes in Computational Science and Engineering

SP - 255

EP - 261

BT - Domain Decomposition Methods in Science and Engineering XX

ER -

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

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