New analysis and recovery technique of mixed FEMs for compressible miscible displacement in porous media

Author(s):  
Weiwei Sun
2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
Wei Liu

Considering two-dimensional compressible miscible displacement flow in porous media, finite difference schemes on grids with local refinement in time are constructed and studied. The construction utilizes a modified upwind approximation and linear interpolation at the slave nodes. Error analysis is presented in the maximum norm and numerical examples illustrating the theory are given.


2014 ◽  
Vol 80 ◽  
pp. 65-80 ◽  
Author(s):  
Jiansong Zhang ◽  
Danping Yang ◽  
Shuqian Shen ◽  
Jiang Zhu

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