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

11/20/2019

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by   Yuwen Li, et al.

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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.