Residual-based a posteriori error estimates of mixed methods for a three-field Biot's consolidation model
arXiv:1911.08692 · doi:10.1093/imanum/draa074
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.
25 pages, 7 figures