Name
Abstract | ||
|---|---|---|
In this work, we consider two discretizations of the three-field formulation of Biot's consolidation problem. They employ the lowest-order mixed finite elements for the flow (Raviart-Thomas-Nedelec 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. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1007/978-3-030-10692-8_1 | Lecture Notes in Computer Science |
Keywords | DocType | Volume |
Stable finite elements,Poroelasticity equations,Mass conservation | Conference | 11189 |
ISSN | Citations | PageRank |
0302-9743 | 0 | 0.34 |
References | Authors | |
0 | 6 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Francisco José Gaspar | 1 | 18 | 4.66 |
| Carmen Rodrigo | 2 | 27 | 8.69 |
| Xiaozhe Hu | 3 | 47 | 16.68 |
| Peter Ohm | 4 | 1 | 0.69 |
| James H. Adler | 5 | 0 | 0.68 |
| Ludmil Zikatanov | 6 | 189 | 25.89 |