Domain decomposition and partitioning methods for mixed finite element discretizations of the Biot system of poroelasticity
Sign Up to like & getrecommendations! Published in 2021 at "Computational Geosciences"
DOI: 10.1007/s10596-021-10091-w
Abstract: We develop non-overlapping domain decomposition methods for the Biot system of poroelasticity in a mixed form. The solid deformation is modeled with a mixed three-field formulation with weak stress symmetry. The fluid flow is modeled… read more here.
Keywords: system poroelasticity; biot system; decomposition; domain decomposition ... See more keywords
A posteriori error estimates for Biot system using Enriched Galerkin for flow
Sign Up to like & getrecommendations! Published in 2020 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2020.113185
Abstract: Abstract We analyze the Biot system solved with a fixed-stress split, Enriched Galerkin (EG) discretization for the flow equation, and Galerkin for the mechanics equation. Residual-based a posteriori error estimates are established with both lower… read more here.
Keywords: enriched galerkin; error; error estimates; posteriori error ... See more keywords