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math.NA2020
Domain decomposition and partitioning methods for mixed finite element discretizations of the Biot system of poroelasticity
Manu Jayadharan, Eldar Khattatov, Ivan Yotov
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…
math.NA2020★ 22 cited
A coupled multipoint stress -- multipoint flux mixed finite element method for the Biot system of poroelasticity
Ilona Ambartsumyan, Eldar Khattatov, Ivan Yotov
We present a mixed finite element method for a five-field formulation of the Biot system of poroelasticity that reduces to a cell-centered pressure-displacement system on simplicia…