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- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.24 No.2
- 발행연도
- 2020.6
- 수록면
- 199 - 214 (16page)
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초록· 키워드
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This paper describes the development of a parallel computational algorithm based on the finite element tearing and interconnecting (FETI) method that uses a local Lagrange multiplier. In this approach, structural computational domain is decomposed into non-overlapping sub-domains using local Lagrange multiplier. The local Lagrange multipliers are imposed at interconnecting nodes. 8-node solid element using extra shape function is adopted by using the representative volume element (RVE). The parallel computational algorithm is further established based on message passing interface (MPI). Finally, the present FETI-local approach is implemented on parallel hardware and shows improved performance.
목차
ABSTRACT
1. INTRODUCTION
2. DOMAIN DECOMPOSITION METHOD
3. COMPUTATIONAL PROCEDURES FOR FETI-LOCAL METHOD
4. NUMERICAL RESULTS
5. CONCLUSION
REFERENCES
참고문헌 (17)
참고문헌 신청
Farhat, C. / 1991 / A Method of Finite Element Tearing and Interconnecting and Its Parallel Solution Algorithm / International Journal for Numerical Methods in Engineering 32:1205~1227
Farhat, C. / 1998 / The two-level FETI method for static and dynamic plate problem Part I: An optimal iterative solver for biharmonic systems / Computer Methods in Applied Mechanics and Engineering 155:129~151
Farhat, C. / 1998 / The two-level FETI method for static and dynamic plate problem Part II: Extension to shell problems, parallel implementation and performance results / Computer Methods in Applied Mechanics and Engineering 155:153~179
Farhat, C. / 2001 / A scalable dual-primal domain decomposition method / Numerical Linear Algebra with Applications 7:687~714
Farhat, C. / 2001 / FETI-DP: a dual-primal unified FETI method - part I: A faster alternative to the two-level FETI method / International Journal for Numerical Methods in Engineer 50:1523~1544
Farhat, C. / 1998 / The two-level FETI method for static and dynamic plate problem Part I: An optimal iterative solver for biharmonic systems / Computer Methods in Applied Mechanics and Engineering 155:129~151
Farhat, C. / 1998 / The two-level FETI method for static and dynamic plate problem Part II: Extension to shell problems, parallel implementation and performance results / Computer Methods in Applied Mechanics and Engineering 155:153~179
Farhat, C. / 2001 / A scalable dual-primal domain decomposition method / Numerical Linear Algebra with Applications 7:687~714
Farhat, C. / 2001 / FETI-DP: a dual-primal unified FETI method - part I: A faster alternative to the two-level FETI method / International Journal for Numerical Methods in Engineer 50:1523~1544
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UCI(KEPA) : I410-ECN-0101-2020-410-000855149