Iterative solution of large‐scale acoustic scattering problems with multiple right hand‐sides by a domain decomposition method with Lagrange multipliers

2001 ◽  
Vol 51 (10) ◽  
pp. 1175-1193 ◽  
Author(s):  
Radek Tezaur ◽  
Antonini Macedo ◽  
Charbel Farhat
Keyword(s):  
Domain Decomposition ◽  
Lagrange Multipliers ◽  
Decomposition Method ◽  
Large Scale ◽  
Domain Decomposition Method ◽  
Acoustic Scattering ◽  
Iterative Solution ◽  
Scattering Problems ◽  
Right Hand ◽  
Acoustic Scattering Problems

FETI-DPH: A DUAL-PRIMAL DOMAIN DECOMPOSITION METHOD FOR ACOUSTIC SCATTERING

2005 ◽  
Vol 13 (03) ◽  
pp. 499-524 ◽  
Author(s):  
CHARBEL FARHAT ◽  
PHILIP AVERY ◽  
RADEK TEZAUR ◽  
JING LI
Keyword(s):  
Domain Decomposition ◽  
Decomposition Method ◽  
Large Scale ◽  
Domain Decomposition Method ◽  
Acoustic Scattering ◽  
Iterative Solution ◽  
Wave Number ◽  
Problem Size ◽  
Scattering Problems ◽  
Parallel Iterative

A dual-primal variant of the FETI-H domain decomposition method is designed for the fast, parallel, iterative solution of large-scale systems of complex equations arising from the discretization of acoustic scattering problems formulated in bounded computational domains. The convergence of this iterative solution method, named here FETI-DPH, is shown to scale with the problem size, the number of subdomains, and the wave number. Its solution time is also shown to scale with the problem size. CPU performance results obtained for the acoustic signature analysis in the mid-frequency regime of mockup submarines reveal that the proposed FETI-DPH solver is significantly faster than the previous generation FETI-H solution algorithm.

ADVANCED DOMAIN DECOMPOSITION METHOD BY LOCAL AND MIXED LAGRANGE MULTIPLIERS

2014 ◽  
Vol 18 (1) ◽  
pp. 17-26
Author(s):  
Junyoung Kwak ◽  
Taeyoung Chun ◽  
Haeseong Cho ◽  
Sangjoon Shin ◽  
Olivier A. Bauchau
Keyword(s):  
Domain Decomposition ◽  
Lagrange Multipliers ◽  
Decomposition Method ◽  
Domain Decomposition Method
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