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arXiv · 2002.09603

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

Matteo Frigo·Nicola Castelletto·Massimiliano Ferronato·Joshua A. White
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Abstract

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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Matteo Frigo, Nicola Castelletto, Massimiliano Ferronato, Joshua A. White. 2020-02-22. Efficient solvers for hybridized three-field mixed finite element coupled poromechanics. https://doi.org/10.1016/j.camwa.2020.07.010

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