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An adaptive finite element method for evolutionary convection dominated problems |
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| Authors: | Javier de Frutos Bosco García-Archilla Julia Novo |
| Affiliation: | 1. Center for Numerical Simulation Software in Engineering and Sciences, College of Mechanics and Materials, Hohai University, Nanjing, Jiangsu 210098, China;2. Department of Mechanical and Mechatronic Engineering, National Taiwan Ocean University, Keelung 202-24, Taiwan;1. School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, PR China;2. LSEC and Institute of Computational Mathematics, Chinese Academy of Sciences, P.O. Box 2719, Beijing 100190, PR China |
| Abstract: | We present an adaptive finite element method for evolutionary convection–diffusion problems. The algorithm is based on an a posteriori indicator of the size of the oscillations displayed by the finite element approximation. The procedure is able to refine or coarsen dynamically the mesh adjusting it automatically to evolving layers. The method produces nearly non-oscillatory approximations in the convection dominated regime. We check the performance of the adaptive method with some numerical experiments. |
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