On robust discretization methods for poroelastic problems: Numerical examples and counter-examples

Abstract

Finite element approximations of poroelastic materials are nowadays used within multiple applications. Due to wide variation of possible material parameters, robustness of the considered discretization is important. Within this contribution robust of discretization schemes, initially developed for Biot’s theory, will be applied within the Theory of Porous Media. Selected numerical test-cases, special attention will be paid to incompressible and impermeable regimes, are conducted.

Keywords

• Theory of Porous Media
• Mixed finite elements
• Parameter robustness
• Low permeability
• Incompressible material