Residual-based a posteriori error estimates of mixed methods in Biot's consolidation model

Yuwen Li, Ludmil T. Zikatanov

Published 2019-11-20Version 1

We present residual-based a posteriori error estimates of mixed finite element methods for the three-field formulation of Biot's consolidation model. The error estimator is an upper and lower bound of the space time discretization error up to data oscillation. As a by-product, we also obtain new a posteriori error estimate of mixed finite element methods for the heat equation.