Applied Mathematics Webinar
Since September 2020 - 82 Conferences (June 2024) - From more than 15 Countries.
Next Talk : September 03, 2024.
on Tuesday - 5:00 pm KSA Time - (2:00 p.m GMT)
Title : Numerical Analysis and simulations of a model of biofilm growth in porous media
Speaker: Azhar Saeed Alhammali, Imam Abdurrahman bin Faysal University.
Abstract: We consider a mathematical and computational model for biofilm growth and nutrient utilization in porous media. The model is a system of two coupled nonlinear diffusion--reaction partial differential equations (PDEs). One of the PDEs can be characterized as a parabolic variational inequality (PVI) due to a constraint on the volume of the biofilm. Solutions to PVIs have low regularity which limits the numerical scheme to low order. We approximate the the model using mixed finite element method with the lowest order Raviart-Thomas elements. We show the well-posedness of the discrete problem, derive rigorous error estimates, and present numerical experiments in 1D, 2D that confirm the predicted estimates. We also illustrate the behavior of biofilm and nutrient dynamics in simple and in complex porescale geometries. This is a joint work with Prof. Malgorzata Peszynska from Oregon State University, US, and Dr. Choah Shin from Ab Initio Software, US.
The objective of this working group is to bring together teacher/researchers in Applied Mathematics, working in the following topics :
Partial Differential Equations – Dynamical Systems - Scientific Computing - Inverse Problems - Control – Stochastic Calculus
around a seminar who take place every two weeks. Presentations of 50 minutes followed by a 30 minutes of question's session. The presentations will take place on the Zoom platform.
All the members of this group will obviously be able to suggest speakers or give presentations in this seminar.
This seminar may become the seminar of several universities at any time, if the members of this group wish so.
Belonging to this group may be an opportunity to learn about the activities of each of its members, in order to identify sub-groups that will be able to carry out research or article projects around common themes.
This event is organised by the researchers of the Tunis El Manar University, Imam Abdurrahmane Bin Faisal University and King Saud University. It is also supported By the LAMSIN (Laboratoire de Modélisation Mathématique et numérique dans les Sciences de l'Ingénieur), Mims (Mediterranean Institute for the Mathematical Sciences) and SMT (Société Mathématique de Tunisie).
To obtain an Attendance Certificate please contact: chamekhmourad1@gmail.com