Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems

Author:

Ahmed ElyesORCID,Nordbotten Jan Martin,Radu Florin AdrianORCID

Funder

Norwegian Research Council

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference50 articles.

1. Diffusion in poro-elastic media;Showalter;J. Math. Anal. Appl.,2000

2. E. Ahmed, F.A. Radu, J.M. Nordbotten, Adaptive poromechanics computations based on a posteriori error estimates for fully mixed formulations of biot’s consolidation model, research report, Department of Mathematics, University of Bergen, Nov. 2018, https://hal.inria.fr/hal-01687026.

3. Adaptive poromechanics computations based on a posteriori error estimates for fully mixed formulations of biot’s consolidation model;Ahmed;Comput. Methods Appl. Mech. Engrg.,2018

4. M.K. Brun, E. Ahmed, J.M. Nordbotten, F.A. Radu, Well-posedness of the fully coupled quasi-static thermo-poroelastic equations with nonlinear convective transport, Journal of Mathematical Analysis and Applications, http://dx.doi.org/10.1016/j.jmaa.2018.10.074.

5. Convergence analysis of a new mixed finite element method for Biot’s consolidation model;Yi;Numer. Methods Partial Differential Equations,2014

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