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| Adaptive computation for convection dominated diffusion problems | |
| 基金项目： | 科技部资助项目，国家自然科学基金 |
| 摘 要： | We derive sharp L~∞(L~1) a posteriori error estimate for the convection dominated diffusion equations of the formThe derived estimate is insensitive to the diffusion parameter ε→0. The problem is discretized implicitly in time via the method of characteristics and in space via continuous |
Adaptive computation for convection dominated diffusion problems |
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| CHEN Zhiming,JI Guanghua. Adaptive computation for convection dominated diffusion problems[J]. Science in China(Mathematics), 2004, 47(Z1). DOI: 10.1360/04za0002 | |
| Authors: | CHEN Zhiming JI Guanghua |
| Abstract: | We derive sharp L∞(L1) a posteriori error estimate for the convection dominated diffusion equations of the form αu/αt+div(vu)-εΔu=g. The derived estimate is insensitive to the diffusionparameter ε→0. The problem is discretized implicitly in time via the method of characteristics and in space via continuous piecewise linear finite elements. Numerical experiments are reported to show the competitive behavior of the proposed adaptive method. |
| Keywords: | a posteriori error estimator characteristics adaptive. |
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