Department News
A Review of Iterative Methods for Condensation of Eigenproblems
Seminar Date
2000-06-15
Author
관리자
Date
2000-06-15
Views
1160
1. 제목 : A Review of Iterative Methods for Condensation of Eigenproblems
2. 연사 : 김 기 욱 교수 (인하대학교 공과대학 항공우주공학과)
3. 일시 : 1999년 12월 1일 (수요일) 16:00
4. 장소 : 301동 1512호
5. 내용 :
An improved method is presented for the iterative condensation of eigenproblems. The method is based on the improved reduction system (IRS) and the succession-level approximate reduction (SAR). The reduction procedures are supplemented with second-order approximation in the series expansion of the system transformation. The reduced equation of motion and the transformation matrix are updated in an iterative manner. In addition, systematic derivation and comparison of the equations involved in various condensations have been sought. It is interesting to note that the method of SAR is closely related with the hybrid dynamic condensation and the subspace iteration method. The orthogonalization through subspace transformation has turned out to be incorporated implicitly. For typical example problems, solutions converge well through iterations. The solution accuracy is very sensitive to the selection of the degrees of freedom, for which the sequential elimination or energy method may be preferred. When a poor selection causes a sudden failure of the iterative method of transformation update, the hybrid dynamic condensation can be employed.
6. 연사 약력 :
1969 - 1973 서울대학교 공과대학 항공우주공학과 학사
1973 - 1975 서울대학교 대학원 항공우주공학과 석사
1975 - 1979 공군 사관학교 교관, 전임강사
1980 - 1983 Aerospace Engineering, The Univ. of Michigan 박사
1983 - 1985 Automated Analysis Corporation 연구원
1985 - 1988 The MacNeal-Schwendler Corporation 연구원
1988 - 현재 인하대학교 공과대학 항공우주공학과 교수
7. 연락처 : 기계항공공학부 김승조 교수 (전화 : 880-7388)
2. 연사 : 김 기 욱 교수 (인하대학교 공과대학 항공우주공학과)
3. 일시 : 1999년 12월 1일 (수요일) 16:00
4. 장소 : 301동 1512호
5. 내용 :
An improved method is presented for the iterative condensation of eigenproblems. The method is based on the improved reduction system (IRS) and the succession-level approximate reduction (SAR). The reduction procedures are supplemented with second-order approximation in the series expansion of the system transformation. The reduced equation of motion and the transformation matrix are updated in an iterative manner. In addition, systematic derivation and comparison of the equations involved in various condensations have been sought. It is interesting to note that the method of SAR is closely related with the hybrid dynamic condensation and the subspace iteration method. The orthogonalization through subspace transformation has turned out to be incorporated implicitly. For typical example problems, solutions converge well through iterations. The solution accuracy is very sensitive to the selection of the degrees of freedom, for which the sequential elimination or energy method may be preferred. When a poor selection causes a sudden failure of the iterative method of transformation update, the hybrid dynamic condensation can be employed.
6. 연사 약력 :
1969 - 1973 서울대학교 공과대학 항공우주공학과 학사
1973 - 1975 서울대학교 대학원 항공우주공학과 석사
1975 - 1979 공군 사관학교 교관, 전임강사
1980 - 1983 Aerospace Engineering, The Univ. of Michigan 박사
1983 - 1985 Automated Analysis Corporation 연구원
1985 - 1988 The MacNeal-Schwendler Corporation 연구원
1988 - 현재 인하대학교 공과대학 항공우주공학과 교수
7. 연락처 : 기계항공공학부 김승조 교수 (전화 : 880-7388)
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