A posteriori error estimates for Biot system using a mixed discretization for flow

نویسندگان

چکیده

We first derive convergence and a priori stability, next reliability efficiency of posteriori error indicators for Biot poroelastic model coupled with an elastic in R3, solved by continuous Galerkin scheme (CG) the displacement mixed finite element flow. The system is decoupled fixed stress splitting algorithm. numerical implementation residual based simple, even discretization, but at expense two suboptimal bounds. tested on benchmark problems via several experiments.

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ژورنال

عنوان ژورنال: Computer Methods in Applied Mechanics and Engineering

سال: 2022

ISSN: ['0045-7825', '1879-2138']

DOI: https://doi.org/10.1016/j.cma.2022.115240