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Domain Decomposition Approach Applied for Two- and Three-dimensional Problems via Direct Solution Methodology
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논문 기본 정보

Type
Academic journal
Author
Jun Young Kwak (Korea Aerospace Research Institute) Haeseong Cho (Seoul National University) Tae Young Chun (LIGNex1) SangJoon Shin (Seoul National University) Olivier A. Bauchau (Hong Kong University of Science and Technology)
Journal
The Korean Society for Aeronautical & Space Sciences International Journal of Aeronautical and Space Sciences Vol.16 No.2 KCI Accredited Journals SCIE
Published
2015.6
Pages
177 - 189 (13page)

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Domain Decomposition Approach Applied for Two- and Three-dimensional Problems via Direct Solution Methodology
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Abstract· Keywords

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This paper presents an all-direct domain decomposition approach for large-scale structural analysis. The proposed approach achieves computational robustness and efficiency by enforcing the compatibility of the displacement field across the subdomain boundaries via local Lagrange multipliers and augmented Lagrangian formulation (ALF). The proposed domain decomposition approach was compared to the existing FETI approach in terms of the computational time and memory usage. The parallel implementation of the proposed algorithm was described in detail. Finally, a preliminary validation was attempted for the proposed approach, and the numerical results of two- and three-dimensional problems were compared to those obtained through a dual-primal FETI approach. The results indicate an improvement in the performance as a result of the implementing the proposed approach.
#Finite Element Tearing and Interconnecting (FETI) #Augmented Lagrangian Formulation #Domain Decomposition Method #Lagrange multipliers #Parallel computing

Contents

Abstract
1. Introduction
2. Description of the algorithms
3. Solution procedure for the proposed approach
4. Numerical Results
5. Conclusions
References

References (38)

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[단행본] - Bathe, K. J. / 1996 / Finite Element Procedures / Prentice Hall, Inc. google schola [학술지(정기간행물)] - Irons, B. M. / 1970 / A frontal solution program for finite element analysis / International Journal for Numerical Methods in Engineering 2 : 5 ~ 32 google schola [학술지(정기간행물)] - Duff, I. S. / 1973 / The multifrontal solution of indefinite sparse symmetric linear equations / ACM Transactions on Mathematical Software 9 (3) : 302 ~ 325 google schola [학술지(정기간행물)] - Kim, J. H. / 1999 / Multifrontal solver combined with graph partitioners / AIAA Journal 37 (8) : 964 ~ 970 google schola [학술지(정기간행물)] - Gould, N. I. H. / 2007 / A Numerical Evaluation of Sparse Direct Solvers for the Solution of Large Sparse Symmetric Linear Systems of Equations / ACM Transactions on Mathematical 33 (2) : 10 ~ google schola

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