TY - JOUR
T1 - An Artificial Boundary Condition for a Class of Quasi-Newtonian Stokes Flows
AU - Baoqing Liu, Qing Chen & Qikui Du
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 35
EP - 51
PY - 2018
DA - 2018/02
SN - 4
DO - http://doi.org/10.4208/eajam.280313.250913a
UR - https://global-sci.org/intro/article_detail/eajam/10819.html
KW - Stokes equation, artificial boundary condition, finite element method.
AB - <p style="text-align: justify;">An artificial boundary condition method, derived in terms of infinite Fourier
series, is applied to solve a class of quasi-Newtonian Stokes flows. Based on the natural
boundary reduction involving an artificial condition on the artificial boundary, the coupled
variational problem and its numerical solution are obtained. The unique solvability
of the continuous and discrete formulations are discussed, and the error analysis for the
problem is also considered. Finally, an a posteriori error estimate for the corresponding
problem is provided.</p>