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Stabilized Bubble Function Method for Shallow Water Long Wave Equation |
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| Authors: | J Matsumoto T Umetsu M Kawahara |
| Institution: | 1. Research Institute for Computational Science, AIST , Umezono-1 Central 2, Ibaraki, 305-8568 , Tsukuba , Japan;2. Department of Civil Engineering , Maebashi Institute of Technology , Kamisadori, 371-0816 , Maebashi , Japan;3. Department of Civil Engineering , Chuo University , Bunkyo-ku, 112-8551 , Tokyo , Japan |
| Abstract: | A relationship between the stabilized bubble function method and the stabilized finite element method is shown in this paper. The Petrov–Galerkin formulation with bubble function, i.e. a stabilized bubble function method, is proposed for the shallow water long wave equation. The Petrov–Galerkin formulation with the bubble function formulation possesses better stability than the Bubnov–Galerkin formulation with the bubble function. |
| Keywords: | Stabilized bubble function Stabilized finite element method Shallow water long wave equation Petrov–Galerkin formulation |