@inproceedings{6c8a1a20cc05482c96959247d15168eb,
title = "New stabilized discretizations for poroelasticity equations",
abstract = "In this work, we consider two discretizations of the three-field formulation of Biot{\textquoteright}s consolidation problem. They employ the lowest-order mixed finite elements for the flow (Raviart-Thomas-N{\'e}d{\'e}lec elements for the Darcy velocity and piecewise constants for the pressure) and are stable with respect to the physical parameters. The difference is in the mechanics: one of the discretizations uses Crouzeix-Raviart nonconforming linear elements; the other is based on piecewise linear elements stabilized by using face bubbles, which are subsequently eliminated. The numerical solutions obtained from these discretizations satisfy mass conservation: the former directly and the latter after a simple postprocessing.",
author = "Gaspar, {Francisco J.} and Carmen Rodrigo and Xiaozhe Hu and Peter Ohm and James Adler and Ludmil Zikatanov",
note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2019.; 9th International conference on Numerical Methods and Applications, NMA 2018 ; Conference date: 20-08-2018 Through 24-08-2018",
year = "2019",
doi = "10.1007/978-3-030-10692-8_1",
language = "English (US)",
isbn = "9783030106911",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "3--14",
editor = "Natalia Kolkovska and Krassimir Georgiev and Geno Nikolov",
booktitle = "Numerical Methods and Applications - 9th International Conference, NMA 2018, Revised Selected Papers",
address = "Germany",
}