Introduction to Numerical Modeling, Discretization, and Solution with Differential Equations Applied to Poro-Elasticity

This course is designed for students and peers who had basic classes in calculus, introduction to numerical methods, differential equations, and finite element discretizations. In three lectures, the goal is to provide rigorous concepts for mathematical and numerical methods for continuum mechanics problems with a focus on porous media applications. They range from the linear Biot system up to current research on fluid-filled phase-field fracture in porous media. This Mini-Curso is part of the DAAD (German academic exchange service) program SaCCC : South American Competence Center of Scientific Computing (https://numerics.ovgu.de/sac3/).