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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.19 No.2
- 발행연도
- 2015.6
- 수록면
- 123 - 135 (13page)
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초록· 키워드
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In this paper, a reduced-order modeling(ROM) of Burgers equations is studied based on pseudo-spectral collocation method. A ROM basis is obtained by the proper orthogonal decomposition(POD). Crank-Nicolson scheme is applied in time discretization and the pseudo-spectral element collocation method is adopted to solve linearlized equation based on the Newton method in spatial discretization. We deliver POD-based algorithm and present some numerical experiments to show the efficiency of our proposed method.
목차
ABSTRACT
1. INTRODUCTION
2. PSEUDO-SPECTRAL COLLOCATION METHOD
3. REDUCED ORDER MODELING BY POD
4. NUMERICAL EXPERIMENTS
REFERENCES
참고문헌 (17)
참고문헌 신청
[학술지(정기간행물)] - K. Kunisch / 2001 / Galerkin proper orthogonal decomposition methods for parabolic equations / Numer. Math 90 : 117 ~ 148
[학술지(정기간행물)] - J. Burkardt / 2006 / Centroidal Voronoi tessellation-based reduced-order modeling of complex systems / SIAM J. SCI. COMPUT 28 (2) : 459 ~ 484
[학술지(정기간행물)] - J. Burkardt / 2006 / POD and CVT-based reduced-order modeling of Navier-Stokes flows / Comput. Methods Appl. Mech. Engrg 196 : 337 ~ 355
[학술대회논문] - O¨ . E. Mehmet / 2005 / Fuzzy Boundary Control of 2D Burgers Equation with an Observer / Proceedings of the 2005IEEE Conference on Control Applications
[학술지(정기간행물)] - E. Aksan / 2005 / A numerical solution of Burgers equation by finite element method constructed on the method of discretization in time / Appl. Math. Comp 170 : 895 ~ 904
[학술지(정기간행물)] - J. Burkardt / 2006 / Centroidal Voronoi tessellation-based reduced-order modeling of complex systems / SIAM J. SCI. COMPUT 28 (2) : 459 ~ 484
[학술지(정기간행물)] - J. Burkardt / 2006 / POD and CVT-based reduced-order modeling of Navier-Stokes flows / Comput. Methods Appl. Mech. Engrg 196 : 337 ~ 355
[학술대회논문] - O¨ . E. Mehmet / 2005 / Fuzzy Boundary Control of 2D Burgers Equation with an Observer / Proceedings of the 2005IEEE Conference on Control Applications
[학술지(정기간행물)] - E. Aksan / 2005 / A numerical solution of Burgers equation by finite element method constructed on the method of discretization in time / Appl. Math. Comp 170 : 895 ~ 904
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