Το work with title Domain decomposition methods for parallel solution of sensitivity analysis problems by Papadrakakis, Manolis, Yiannis Tsompanakis is licensed under Creative Commons Attribution 4.0 International
Bibliographic Citation
M. Papadrakakis ,Y. Tsompanakis , " Domain decomposition methods for parallel solution of sensitivity analysis problems ," Intern. J. for Num.l Methods in Engin. ,vol. 44 ,no. 2 , pp.281 - 303,1999.doi: 10.1002/(SICI)1097-0207(19990120)44:2<281::AID-NME512>3.0.CO;2-1
https://doi.org/10.1002/(SICI)1097-0207(19990120)44:2<281::AID-NME512>3.0.CO;2-1
This paper presents the implementation of advanced domain decomposition techniques for parallel solution of large-scale shape sensitivity analysis problems. The methods presented in this study are based on the FETI method proposed by Farhat and Roux which is a dual domain decomposition implementation. Two variants of the basic FETI method have been implemented in this study: (i) FETI-1 where the rigid-body modes of the floating subdomains are computed explicitly. (ii) FETI-2 where the local problem at each subdomain is solved by the PCG method and the rigid-body modes are computed explicitly. A two-level iterative method is proposed particularly tailored to solve re-analysis type of problems, where the dual domain decomposition method is incorporated in the preconditioning step of a subdomain global PCG implementation. The superiority of this two-level iterative solver is demonstrated with a number of numerical tests in serial as well as in parallel computing environments.