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

Residual-based a posteriori error estimates of mixed methods for a three-field Biot's consolidation model