Algebraic preconditioning for poroelasticity
Tomáš LuberMay 15, 2018, 1:30 p.m. S2 416-1
Poroelasticity is a fundamental model model of a fluid flow in a deformable porous media. It couples the description of mechanical deformation of the matrix with the fluid flow through pores in the matrix. Deformation is described by linear elasticity, fluid flow by Darcy's law. This relatively simple model is limited to description of quasistacionary processes. However, its application is suitable in different fields. The formulation of the poroelastic model will be presented in a variant that uses three fields to describe the state of the porous environment: displacement, pore pressure and fluid flow. This formulation will be discretized by the mixed finite element method in space and implicit Euler method time. For the resulting system block preconditioners based on algebraic properties will be proposed and analyzed with respect to dependence on material parameters of the model.