지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
We apply a reduced-order method based on B-spline Galerkin finite elements formulation to Rosenau-RLW equation for the first time and explain their process in detail. The ensemble of snapshots is very large generally, and it is difficult to apply POD to the ensemble of snapshots directly. Hence, we try to pick up important snapshots among the whole data. In this paper, we represent three different reduced-order schemes. First, the classical POD technique is examined. Second, (equally sampled snapshots) are exploited for POD technique. Finally, afterward sampling snapshots by CVT, for those snapshots, POD technique is implemented again.
목차
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참고문헌 (26)
참고문헌 신청
N. Atouani / 2013 / Galerkin finite element method for the Rosenau-RLW equation / Comput. Math. Appl 66:289~303
T. B. Benjamin / 1972 / Model equations for long waves in nonlinear dispersive systems / Philos. Trans. R. Soc. Lond. Ser. A 272:47~78
J. L. Bona / 1975 / The initial-value problem for the Korteweg-de Vries equation / Philosophical Transactions of the Royal Society of London A: Mathe-matical, Physical and Engineering Sciences 278:555~601
J. Burkardt / 2006 / Centroidal Voronoi tessellation-based reduced-order modeling of complex systems / SIAM J. Sci. Comput 28:459~484
J. Burkardt / 2006 / POD and CVT-based reduced-order modeling of NavierStokes ows / Comput. Method Appl. M 196:337~355
T. B. Benjamin / 1972 / Model equations for long waves in nonlinear dispersive systems / Philos. Trans. R. Soc. Lond. Ser. A 272:47~78
J. L. Bona / 1975 / The initial-value problem for the Korteweg-de Vries equation / Philosophical Transactions of the Royal Society of London A: Mathe-matical, Physical and Engineering Sciences 278:555~601
J. Burkardt / 2006 / Centroidal Voronoi tessellation-based reduced-order modeling of complex systems / SIAM J. Sci. Comput 28:459~484
J. Burkardt / 2006 / POD and CVT-based reduced-order modeling of NavierStokes ows / Comput. Method Appl. M 196:337~355
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