Mixed Finite Element Analysis of Thermally Coupled Quasi-Newtonian Flows
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@Article{IJNAMB-4-35,
author = {JIANSONG ZHANG, JIANG ZHU∗, XIJUN YU, ABIMAEL F. D. LOULA, AND
LUIZ BEVILACQUA},
title = {Mixed Finite Element Analysis of Thermally Coupled Quasi-Newtonian Flows},
journal = {International Journal of Numerical Analysis Modeling Series B},
year = {2013},
volume = {4},
number = {1},
pages = {35--49},
abstract = {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.},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnamb/245.html}
}
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.
JIANSONG ZHANG, JIANG ZHU∗, XIJUN YU, ABIMAEL F. D. LOULA, AND
LUIZ BEVILACQUA. (2013). Mixed Finite Element Analysis of Thermally Coupled Quasi-Newtonian Flows.
International Journal of Numerical Analysis Modeling Series B. 4 (1).
35-49.
doi:
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