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Iterative solution of large‐scale acoustic scattering problems with multiple right hand‐sides by a domain decomposition method with Lagrange multipliers
Author(s) -
Tezaur Radek,
Macedo Antonini,
Farhat Charbel
Publication year - 2001
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.212
Subject(s) - feti , domain decomposition methods , solver , mortar methods , wavenumber , lagrange multiplier , scalability , degrees of freedom (physics and chemistry) , decomposition method (queueing theory) , domain (mathematical analysis) , scattering , mathematics , iterative method , mathematical analysis , computer science , mathematical optimization , physics , finite element method , optics , discrete mathematics , quantum mechanics , database , thermodynamics
An extension of the FETI‐H method is designed for the solution of acoustic scattering problems with multiple right‐hand sides. A new local pre‐conditioning of this domain decomposition method is also presented. The potential of the resulting iterative solver is demonstrated by numerical experiments for two‐dimensional problems with high wavenumbers, as many as 2.5 million complex degrees of freedom, and a sweep on the angle of the incident wave. Preliminary results for a three‐dimensional submarine problem are also included. The FETI‐H method, whose numerical scalability with respect to the mesh and subdomain sizes was previously established, is shown here to be also numerically scalable with respect to the wavenumber. Copyright © 2001 John Wiley & Sons, Ltd.