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Volume 4, Issue 1
Mixed Finite Element Analysis of Thermally Coupled Quasi-Newtonian Flows

JIANSONG ZHANG, JIANG ZHU∗, XIJUN YU, ABIMAEL F. D. LOULA, AND LUIZ BEVILACQUA

Int. J. Numer. Anal. Mod. B, 4 (2013), pp. 35-49

Published online: 2013-04

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  • 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.
  • Keywords

Quasi-Newtonian flow viscous heating existence uniqueness nonlinear mixed method finite element approximations error estimates

  • AMS Subject Headings

65N30 65N15 76A05 76M30 80A20

  • Copyright

COPYRIGHT: © Global Science Press

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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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