Giordano Tierra Chica
University of North Texas
Thursday, March 30, 2023
3:30 pm - 4:30 pm
154 Hurley Hall
Title: Finite Element Numerical Schemes For A Chemo-Attraction and Consumption Model
Abstract: During this talk I will introduce and compare several finite element numerical schemes to approximate a chem-attraction model with consumption effects, which is a nonlinear parabolic system for two variables: the cell density and the concentration of the chemical signal that the cell feel attracted to. I will detail the main properties of each scheme, such as conservation of cells, energy-stability and approximated positivity. Moreover, I will present numerical results to illustrate the efficiency of each of the schemes and to compare them with other classical schemes.
This contribution is based on a joint work with Francisco Guillen-Gonzalez (Universidad de Sevilla, Spain).