Commun. Comput. Phys., 6 (2009), pp. 319-341.


A Multilevel Domain Decomposition Approach for Studying Coupled Flow Applications

E. Aulisa 1, A. Cervone 2, S. Manservisi 2, P. Seshaiyer 3*

1 Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409-1042, USA.
2 Laboratory of Montecuccolino, DIENCA, University of Bologna, Bologna, 40136, Italy.
3 Department of Mathematical Sciences, George Mason University, Fairfax, VA 22030, USA.

Received 25 October 2007; Accepted (in revised version) 25 July 2008
Available online 15 December 2008

Abstract

In this paper, a multilevel domain decomposition approach based on multigrid methods for obtaining fast solutions for coupled engineering flow applications arising on complex domains is presented. The proposed technique not only allows solutions to be computed efficiently at the element level but also helps us to achieve proper accuracy, load balancing and computational efficiency. Numerical results presented demonstrate the robustness of the proposed technique.

AMS subject classifications: 65N30, 65N55, 65N12

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Key words: Finite element methods, multigrid methods, domain decomposition.

*Corresponding author.
Email: pseshaiy@gmu.edu (P. Seshaiyer)
 

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