Synchronous and asynchronous optimized Schwarz methods for one-way subdivision of bounded domains

El Haddad, Mireille; Garay, José C.; Magoulès, Frédéric; Szyld, Daniel B.

doi:10.1002/nla.2279

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Title: Synchronous and asynchronous optimized Schwarz methods for one-way subdivision of bounded domains

Journal Article · 19 December 2019 · Numerical Linear Algebra with Applications

DOI: https://doi.org/10.1002/nla.2279 · OSTI ID:1832749

El Haddad, Mireille ^[1]; Garay, José C. ^[2];

^[3];

^[4]

Temple Univ., Philadelphia, PA (United States); St. Joseph University, Beirut (Lebanon); Temple University
Temple Univ., Philadelphia, PA (United States); Louisiana State Univ., Baton Rouge, LA (United States)
CentraleSupélec, Châtenay‐Malabry (France)
Temple Univ., Philadelphia, PA (United States)

Convergence of both synchronous and asynchronous optimized Schwarz algorithms for the shifted Laplacian operator on a bounded rectangular domain, in a one-way subdivision of the computational domain, with overlap, is shown. Convergence results are obtained under very mild conditions on the size of the subdomains and on the amount of overlap. A couple of results are also given, relating the convergence rate of the asynchronous method to changes in the size of the domain. Numerical experiments illustrate the theoretical results.

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Research Organization:: Temple Univ., Philadelphia, PA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0016578

OSTI ID:: 1832749

Journal Information:: Numerical Linear Algebra with Applications, Journal Name: Numerical Linear Algebra with Applications Journal Issue: 2 Vol. 27; ISSN 1070-5325

Publisher:: WileyCopyright Statement

Country of Publication:: United States

Language:: English

References (16)

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97 MATHEMATICS AND COMPUTING
asynchronous iterations
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parallel computing

Title: Synchronous and asynchronous optimized Schwarz methods for one-way subdivision of bounded domains

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References (16)

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