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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2018.1
- 수록면
- 661 - 681 (21page)
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초록· 키워드
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In this paper, we discuss a reduced-order modeling for the Benjamin-Bona-Mahony-Burgers (BBMB) equation and its application to a distributed feedback control problem through the centroidal Voronoi tessellation (CVT). Spatial distcritization to the BBMB equation is based on the finite element method (FEM) using B-spline functions. To deter- mine the basis elements for the approximating subspaces, we elucidate the CVT approaches to reduced-order bases with snapshots. For the pur- pose of comparison, a brief review of the proper orthogonal decomposition (POD) is provided and some numerical experiments implemented includ- ing full-order approximation, CVT based model, and POD based model. In the end, we apply CVT reduced-order modeling technique to a feedback control problem for the BBMB equation.
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참고문헌 (47)
참고문헌 신청
T. B. Benjamin / 1972 / Model equations for long waves in nonlinear dispersive systems / Philos. Trans. Roy. Soc. London 272(1220):47~78
D. J. Korteweg / 1895 / On the change of form of long waves advancing in a rectangular canal and on a new type of long stationary waves / Philos. Mag. 39:422~443
A. Hasan / 2011 / Boundary control of long waves in nonlinear dispersive systems / proc. of 1st Australian Control Conference
A. Balogh / 2000 / Boundary control of the Korteweg-de Vries-Burgers equation: further results on stabilization and well-posedness with numerical demonstration / IEEE Transactions on Automatic Control 455:1739~1745
A. Balogh / 2000 / Burgers equation with nonlinear boundary feedback: $H^1$ stability, well-posedness and simulation / Math. Probl. Eng. 6:189~200
D. J. Korteweg / 1895 / On the change of form of long waves advancing in a rectangular canal and on a new type of long stationary waves / Philos. Mag. 39:422~443
A. Hasan / 2011 / Boundary control of long waves in nonlinear dispersive systems / proc. of 1st Australian Control Conference
A. Balogh / 2000 / Boundary control of the Korteweg-de Vries-Burgers equation: further results on stabilization and well-posedness with numerical demonstration / IEEE Transactions on Automatic Control 455:1739~1745
A. Balogh / 2000 / Burgers equation with nonlinear boundary feedback:
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