Title :
A combined mixed and characteristic mixed finite element method for incompressible miscible displacement problem in porous media
Author :
Fengxin Chen ; Chen, Huanzhen
Author_Institution :
Dept. of Math. & Phys., Shandong Jiaotong Univ., Jinan, China
Abstract :
In this paper, an approximate scheme is defined for incompressible miscible displacement in porous media. This scheme is constructed by using characteristics mixed finite element method for concentration equation and mixed finite element method for pressure equation. Several lemmas are introduced to deal with the difficulties arising from the combination of characteristics method and mixed finite element method. An optimal-order error estimate in L2-norm for the concentration, pressure and the velocity vector is proved for general mixed finite element spaces.
Keywords :
finite element analysis; tensors; characteristic mixed finite element method; combined mixed finite element method; concentration equation; incompressible miscible displacement problem; optimal order error estimation; porous media; pressure equation; Approximation methods; Convergence; Equations; Finite element methods; Mathematical model; Media; Zinc;
Conference_Titel :
Information Science and Technology (ICIST), 2011 International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-9440-8
DOI :
10.1109/ICIST.2011.5765124
