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논문 기본 정보
- 자료유형
- 학술대회자료
- 저자정보
- 발행연도
- 2007.5
- 수록면
- 83 - 86 (4page)
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이 논문의 연구 히스토리 (3)
2007
FIRST-ORDER SYSTEM LEAST-SQUARES METHOD FOR AN FLUX CONTROL PROBLEM BY THE STOKES FLOW
Sang Dong KIM
,
Hyung-Chun LEE
,
Soo
외 1명
한국산업응용수학회 학술대회 논문집
2007.11
학술대회자료
FIRST-ORDER SYSTEM LEAST-SQUARES METHOD FOR THE OPTIMAL CONTROL BY THE STOKES EQUATIONS
Sang Dong KIM
,
Hyung-Chun LEE
,
Soo
외 2명
한국산업응용수학회 학술대회 논문집
2007.05
학술대회자료
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초록· 키워드
오류제보하기
We consider the approximate solution of optimal control problem governed by the Stokes equations. For the constrained optimization problem, Lagrange multiplier method is used. We employ a least-squares functional developed in [3] for the two-and three-dimensional first order optimality systems, by introducing a velocity flux variable and associated curl and trace equations. With the provided H²-regularity of that system, ellipticity in an H¹ product norm is established. This yields optimal discretization error estimates for finite element spaces in a product H¹ norm. The resulting matrix becomes symmetric and positive definite. For numerical tests, we apply V-cycle multigrid methods to the total discrete algebraic system.
목차
ABSTRACT
COUPLED FIRST-ORDER SYSTEM FORMULATIONS
NUMERICAL EXPERIMENTATIONS WITH MULTIGRID METHOD
ACKNOWLEDGEMENT
REFERENCES
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UCI(KEPA) : I410-ECN-0101-2009-410-014679762