摘要
We derive sharp L∞(L1) 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 dis-cretized 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.
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.
基金
Chen Zhiming was supported in part by Ministry of Science and Technology of China(Grant No.G1999032802)
by the National Natural Science Foundation of China(Grant No.10025102).
