A conformal finite element and implicit Euler discretization is proposed and analyzed for the Biot-contact variational problem, proving existence, uniqueness, stability, and a priori error estimates, with numerical verification of the rates.
A coupling of mixed and continuous Galerkin finite element methods for poroelasticity II: the discrete-in-time case
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Numerical analysis of the Biot equations coupled to frictional contact mechanics
A conformal finite element and implicit Euler discretization is proposed and analyzed for the Biot-contact variational problem, proving existence, uniqueness, stability, and a priori error estimates, with numerical verification of the rates.