TY - JOUR
T1 - Analysis and Finite Element Approximation of Bioconvection Flows with Concentration Dependent Viscosity
AU - Y. Cao & S. Chen
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 86
EP - 101
PY - 2014
DA - 2014/11
SN - 11
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/515.html
KW - bio-convection, nonlinear partial differential equations, finite element method.
AB - <p style="text-align: justify;">The problem of a stationary generalized convective flow modelling bioconvection is
considered. The viscosity is assumed to be a function of the concentration of the micro-organisms.
As a result, the PDE system describing the bioconvection model is quasilinear. The existence and
uniqueness of the weak solution of the PDE system is obtained under minimum regularity assumption 
on the viscosity. Numerical approximations based on the finite element method are constructed 
and error estimates are obtained. Numerical experiments are conducted to demonstrate
the accuracy of the numerical method as well as to simulate bioconvection pattern formations
based on realistic model parameters.</p>