Efficient solvers for hybridized three-field mixed finite element coupled poromechanics

Matteo Frigo, Nicola Castelletto, Massimiliano Ferronato, Joshua A. White

Computers and Mathematics with Applications


We consider a mixed hybrid finite element formulation for coupled poromechanics. A stabilization strategy based on a macro-element approach is advanced to eliminate the spurious pressure modes appearing in undrained/incompressible conditions. The efficient solution of the stabilized mixed hybrid block system is addressed by developing a class of block triangular preconditioners based on a Schur-complement approximation strategy. Robustness, computational efficiency and scalability of the proposed approach are theoretically discussed and tested using challenging benchmark problems on massively parallel architectures.

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In this work, we explore efficient solvers for mixed hybrid finite element formulations of poroelasticity, involving vertex, cell, and face-centered degrees of freedom.