A simple a posteriori estimate on general polytopal meshes with applications to complex porous media flows

M Vohralík, S Yousef - Computer Methods in Applied Mechanics and …, 2018 - Elsevier
This paper develops an a posteriori error estimate for lowest-order locally conservative
methods on meshes consisting of general polytopal elements. We focus on the ease of …

[HTML][HTML] Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem

K Kumar, S Kyas, JM Nordbotten, S Repin - Computers & mathematics with …, 2021 - Elsevier
The paper is concerned with guaranteed a posteriori error estimates for a class of
evolutionary problems related to poroelastic media governed by the quasi-static linear Biot …

[PDF][PDF] Guaranteed and computable bounds of approximation errors for the semi-discrete Biot problem

K Kumar, S Matculevich, J Nordbotten… - arXiv preprint arXiv …, 2018 - researchgate.net
The paper is concerned with guaranteed and fully computable a posteriori error estimates
for evolutionary problems associated with the poroelastic media governed by the quasi …