This work was supported by Project funded by Hunan Provincial Natural Science Foundation of China (Grant No. 2020JJ4242, 2021JJ30178), Scientific Research Fund of Hunan Provincial Education Department (Grant No. 21C0585).
机构署名：
本校为第一机构
院系归属：
理学院
摘要：
A compressible miscible displacement problem is modeled by a nonlinear coupled system with partial differential equations in porous media. A two-grid algorithm of a combined mixed finite element and discontinuous Galerkin approximation is proposed based on the Newton iteration method. The error estimate in
$$H^1$$
-norm for concentration and the error estimate in
$$L^2$$
-norm for velocity are derived. It is shown that an asymptotically optimal approximation rate with the two-grid algorithm can be achieved if
$$h = O(H^{2})$$
is satisfied, where H and h are mes...
