@inproceedings{883699cccd234374898af008486cfdf6,
title = "An Accuracy Condition for the Finite Element Discretization of Biot's Equations on Triangular Meshes",
abstract = "Finite element solutions of Biot's equations may be characterized by unphysical oscillations for small time-steps or low permeabilities. We analyse these numerical wiggles by comparing the Schur complement of the system with an equivalent reaction-diffusion problem. We show that the non-physical behaviour of the discrete solution is due to the fact that the discrete maximum principle is not satisfied. We provide a sufficient condition for two-dimensional problems of this kind to ensure monotonic solutions on triangular meshes.",
author = "Marco Favino and J{\"u}rg Hunziker and Klaus Holliger and Rolf Krause",
note = "Publisher Copyright: {\textcopyright} ASCE.; 6th Biot Conference on Poromechanics, Poromechanics 2017 ; Conference date: 09-07-2017 Through 13-07-2017",
year = "2017",
doi = "10.1061/9780784480779.021",
language = "English (US)",
series = "Poromechanics 2017 - Proceedings of the 6th Biot Conference on Poromechanics",
publisher = "American Society of Civil Engineers (ASCE)",
pages = "172--181",
editor = "Patrick Dangla and Jean-Michel Pereira and Siavash Ghabezloo and Matthieu Vandamme",
booktitle = "Poromechanics 2017 - Proceedings of the 6th Biot Conference on Poromechanics",
address = "United States",
}