Linear poroelasticity with solid incompressibility: consistent formulation and scalable numerical solution

arXiv CS Monday 08 June 2026, 04:00 UTC By Nicol\'as A. Barnafi, Andr\'es E. Rubiano, Ricardo Ruiz-Baier 1 min read

Key Points

arXiv:2606.06750v1 Announce Type: new Abstract: In this work we propose, by linearizing the equations of fully nonlinear poroelasticity, a consistent model in which only the solid phase is incompressible. This reformulation circumvents some inconsistency issues encountered in standard primal formulations of nonlinear poroelasticity while still retaining its key physical coupling mechanisms. We show a well-posed and consistent discretization strategy and also formulate scalable solvers based on a Schur complement formalism. A distinctive feature of the model is that it allows for a lowest order, inf-sup stable family of Finite Elements (FE) spaces. Numerical tests in two and three dimensions are provided to validate the proposed method and solver framework.

Linear (ORG) Schur (PERSON) Finite Elements (ORG)

Originally published by arXiv CS Read original →

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Linear poroelasticity with solid incompressibility: consistent formulation and scalable numerical solution

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