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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.13 No.1
- 발행연도
- 2009.3
- 수록면
- 13 - 20 (8page)
이용수
초록· 키워드
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The IPSAP which is a finite element analysis program has been developed for high parallel performance computing. This program consists of various analysis modules ? stress, vibration and thermal analysis module, etc. The M orthogonal block Lanczos algorithm with shiftinvert transformation is used for solving eigenvalue problems in the vibration module. And the multifrontal algorithm which is one of the most efficient direct linear equation solvers is applied to factorization and triangular system solving phases in this block Lanczos iteration routine.
In this study, the performance enhancement procedures of the IPSAP are composed of the following stages: 1) communication volume minimization of the factorization phase by modifying parallel matrix subroutines. 2) idling time minimization in triangular system solving phase by partial inverse of the frontal matrix and the LCM (least common multiple) concept.
In this study, the performance enhancement procedures of the IPSAP are composed of the following stages: 1) communication volume minimization of the factorization phase by modifying parallel matrix subroutines. 2) idling time minimization in triangular system solving phase by partial inverse of the frontal matrix and the LCM (least common multiple) concept.
목차
ABSTRACT
1. INTRODUCTION
2. ALGORITHM
3. PARALLEL PERFORMANCE ENHANCEMENT AND NUMERICAL TEST
4. CONCLUSION
ACKNOWLEDGMENTS
REFERENCES
참고문헌 (7)
참고문헌 신청
1. [학술지(정기간행물)] - D. Calvetti / 1994 / An Implicit Restarted Lanczos Method for Large Symmetric Eigenvalue Problems / Electronic Transaction on Numerical Analysis 2 : 1 ~ 21
2. [학술대회논문] - K. Wu / 1999 / An Evaluation of the Parallel Shift-and-Invert Lanczos Method / Proceedings of International Conference on Parallel and Distributed Processing Techniques and Applications : 2913 ~ 2919
3. [학술지(정기간행물)] - R. Morgan / 1993 / Preconditioning the Lanczos Algorithm for Sparse Symmetric Eigenvalue Problems / SIAM Journal on Scientific Computing 14 : 585 ~ 593
4. [학술지(정기간행물)] - Y.T. Feng / 1996 / Conjugate Gradient Methods for Solving the Smallest Eigenpair of Large Symmetric Eigenvalue Problems / International Journal for Numerical Methods in Engineering 39 : 2209 ~ 2229
5. [인터넷자원] - / / http://www.netlib.org/blas
2. [학술대회논문] - K. Wu / 1999 / An Evaluation of the Parallel Shift-and-Invert Lanczos Method / Proceedings of International Conference on Parallel and Distributed Processing Techniques and Applications : 2913 ~ 2919
3. [학술지(정기간행물)] - R. Morgan / 1993 / Preconditioning the Lanczos Algorithm for Sparse Symmetric Eigenvalue Problems / SIAM Journal on Scientific Computing 14 : 585 ~ 593
4. [학술지(정기간행물)] - Y.T. Feng / 1996 / Conjugate Gradient Methods for Solving the Smallest Eigenpair of Large Symmetric Eigenvalue Problems / International Journal for Numerical Methods in Engineering 39 : 2209 ~ 2229
5. [인터넷자원] - / / http://www.netlib.org/blas
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