A time-stepping procedure based on convolution for the mixed finite element approximation for porous media flow

作者：Cheng Aijie^*; Ren Yongqiang; Xi Kaihua

来源：Applied Mathematics and Computation, 2012, 218(9): 5319-5326.

DOI：10.1016/j.amc.2011.11.015

• Miscible displacement
• Mixed element method
• Bramble-Schatz kernel
• Superconvergence
• Constraint conditions

A time-stepping procedure is established and analyzed for the problem of miscible displacement in porous medium. The fluid velocity based on mixed element method is post-processed by the convolution with Bramble-Schatz kernel. Convergence analysis shows that the property of superconvergence, originally held for the approximation of velocity, can be retained for the approximation of concentration variable. Compared with the traditional results in references, the constraint conditions between parameters in this paper are improved essentially.

• 出版日期2012-1
• 单位山东大学