TY - JOUR
T1 - Optimal error estimates of both coupled and two-grid decoupled methods for a mixed Stokes–Stokes model
AU - Zhang, Yuhong
AU - Zheng, Haibiao
AU - Hou, Yanren
AU - Shan, Li
N1 - Publisher Copyright:
© 2018 IMACS
PY - 2018/11
Y1 - 2018/11
N2 - In this paper, we provide a coupled algorithm and a two-grid decoupled algorithm for a mixed Stokes–Stokes model, which is coupled by a nonlinear interface transmission condition. The coupled algorithm is to discretize the mixed model directly by standard finite element method. For the two-grid decoupled algorithm, we first solve the mixed model on a coarse grid, and update the solution on a fine grid by two separated Stokes problems. Under a hypothesis about the regularity of analytical solutions, optimal error estimates for two algorithms are achieved. Several numerical tests are given to verify our theoretical results.
AB - In this paper, we provide a coupled algorithm and a two-grid decoupled algorithm for a mixed Stokes–Stokes model, which is coupled by a nonlinear interface transmission condition. The coupled algorithm is to discretize the mixed model directly by standard finite element method. For the two-grid decoupled algorithm, we first solve the mixed model on a coarse grid, and update the solution on a fine grid by two separated Stokes problems. Under a hypothesis about the regularity of analytical solutions, optimal error estimates for two algorithms are achieved. Several numerical tests are given to verify our theoretical results.
KW - Coupled Stokes problem
KW - Decoupled method
KW - Nonlinear interaction condition
KW - Optimal error estimates
KW - Two-grid method
UR - https://www.scopus.com/pages/publications/85044721172
U2 - 10.1016/j.apnum.2018.01.022
DO - 10.1016/j.apnum.2018.01.022
M3 - 文章
AN - SCOPUS:85044721172
SN - 0168-9274
VL - 133
SP - 116
EP - 129
JO - Applied Numerical Mathematics
JF - Applied Numerical Mathematics
ER -