Residual-based a posteriori error estimates of mixed methods for a three-field Biot's consolidation model
Numerical Analysis
2020-10-13 v3 Numerical Analysis
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.
Keywords
Cite
@article{arxiv.1911.08692,
title = {Residual-based a posteriori error estimates of mixed methods for a three-field Biot's consolidation model},
author = {Yuwen Li and Ludmil T. Zikatanov},
journal= {arXiv preprint arXiv:1911.08692},
year = {2020}
}
Comments
25 pages, 7 figures