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http://dx.doi.org/10.7734/COSEIK.2012.25.6.469

Development of Finite Element Domain Decomposition Method Using Local and Mixed Lagrange Multipliers  

Kwak, Jun Young (School of Mechanical and Aerospace Engineering, Seoul National University)
Cho, Hae Seong (School of Mechanical and Aerospace Engineering, Seoul National University)
Shin, Sang Joon (School of Mechanical and Aerospace Engineering, Seoul National University)
Bauchau, Olivier A. (Department of Mechanical Engineering, University of Michigan-Shanghai Jiao Tong University Joint Institute)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.25, no.6, 2012 , pp. 469-476 More about this Journal
Abstract
In this paper, a finite element domain decomposition method using local and mixed Lagrange multipliers for a large scal structural analysis is presented. The proposed algorithms use local and mixed Lagrange multipliers to improve computational efficiency. In the original FETI method, classical Lagrange multiplier technique was used. In the dual-primal FETI method, the interface nodes are used at the corner nodes of each sub-domain. On the other hand, the proposed FETI-local analysis adopts localized Lagrange multipliers and the proposed FETI-mixed analysis uses both global and local Lagrange multipliers. The numerical analysis results by the proposed algorithms are compared with those obtained by dual-primal FETI method.
Keywords
augmented lagrangian formulation(ALF); domain decomposition; penalty formulation; finite element tearing and interconnecting; lagrange multipliers;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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