TY - JOUR
T1 - Error Estimates and Blow-Up Analysis of a Finite-Element Approximation for the Parabolic-Elliptic Keller-Segel System 
AU - Chen , Wenbin
AU - Liu , Qianqian
AU - Shen , Jie
JO - International Journal of Numerical Analysis and Modeling
VL - 2-3
SP - 275
EP - 298
PY - 2022
DA - 2022/04
SN - 19
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/20481.html
KW - Parabolic-elliptic systems, finite element method, error estimates, finite-time blowup.
AB - <p style="text-align: justify;">The Keller-Segel equations are widely used for describing chemotaxis in biology.
Recently, a new fully discrete scheme for this model was proposed in [46], mass conservation,
positivity and energy decay were proved for the proposed scheme, which are important properties
of the original system. In this paper, we establish the error estimates of this scheme. Then, based
on the error estimates, we derive the finite-time blowup of nonradial numerical solutions under
some conditions on the mass and the moment of the initial data.</p>