TY - JOUR
T1 - Mixed Finite Element Analysis of Thermally Coupled Quasi-Newtonian Flows
AU - JIANSONG ZHANG, JIANG ZHU∗, XIJUN YU, ABIMAEL F. D. LOULA, AND
LUIZ BEVILACQUA
JO - International Journal of Numerical Analysis Modeling Series B
VL - 1
SP - 35
EP - 49
PY - 2013
DA - 2013/04
SN - 4
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnamb/245.html
KW - Quasi-Newtonian flow
KW - viscous heating
KW - existence
KW - uniqueness
KW - nonlinear mixed method
KW - finite element approximations
KW - error estimates
AB - A mixed finite element method combined with a fixed point algorithm is proposed for solving the thermally coupled quasi-Newtonian flow problem. The existence and uniqueness of
the mixed variational solution are established. A more general uniqueness result for the original
system problem is presented. The convergence of the approximate solution is analyzed and the
corresponding error estimates are given.