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

Abstract

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.

arXiv comment25 pages, 7 figures

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Cited by in corpus (1)

• Smoother-type a posteriori error estimates for finite element methods