Robust discretizations for poroelastic problems: engineering and mathematical points of views in a presenation in pairs

Summary

This contribution is the proceeding of a presentation in pairs taking different viewpoints on the robustness of discretizations for poroelastic problems. These presentations are organised by the Young researcher committee to continue the tradition of fruitful interactions between applied mathematics and computational engineering. The engineering part of this contribution highlights key aspects of the theoretical framework and comments on robustness of common discretizations. Within the mathematical part of this contribution it is shown that the accurate approximation of the total stress tensor as well as the Darcy velocity are crucial to obtain reliability and robustness.