Title of article :
Dimension estimate of the global attractor for a semi-discretized chemotaxis–growth system by conservative upwind finite-element scheme
Author/Authors :
Efendiev، نويسنده , , Messoud and Nakaguchi، نويسنده , , Etsushi and Wendland، نويسنده , , Wolfgang L.، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2009
Abstract :
In this paper we continue systematic study of the dimension estimate of the global attractors for the chemotaxis–growth system and its finite-element approximations. Utilizing a conservative upwind finite-element scheme we managed significantly to improve dimension estimates with respect to the chemotactic parameter.
Keywords :
Upwind scheme , Nonnegativity of solution , Dimension of global attractor , Finite-element approximation , Chemotaxis–growth system
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications
