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.
Convergence of iterative coupling for coupled flow and geome- chanics
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Verification of sequential THM coupling in PFLOTRAN against poroelastic benchmarks with agreement shown for pressure, temperature, and displacement fields plus fracture treatment.
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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.