*KCI등재*

*학술저널*

#
*A REDUCED-ORDER MODELLING FOR ROSENAU-RLW EQUATION WITH B-SPLINE GALERKIN FINITE ELEMENT METHOD*

- Li-Jiao Jia Guang-Ri Piao
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 32, No. 3
- 등재여부 : KCI등재
- 2019.08
- 261 - 280 (20 pages)

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 rep-resent three different reduced-order schemes. First, the classical POD technique is examined. Second, (equally sampled snapshots) are exploited for POD technique. Finally, afterward sampling snap-shots by CVT, for those snapshots, POD technique is implemented again.

1. Introduction

2. Finite element approximation of the Rosenau-RLW equation

3. Reduced-order bases from the snapshot set

4. Reduced-order modelling for the Rosenau-RLW equation

5. Computational experiments

6. Conclusion