A finite difference analysis of Biot's consolidation model
By Francisco José Gaspar, Francisco Javier Lisbona, P. Vabishchevich. 2003
106 citations recorded by the source corpus.
Subfields: Computational Mechanics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/ee189d1f5648881913fe12ca0904c4e6ecbc7ed8
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
- Ivan Yotov
- Guangri Xue
- Mary F. Wheeler
- Ivar Aavatsmark
- Thomas Wick
- Son-Young Yi
- Shuyu Sun
- Beatrice M. Riviere
In Mechanics of Materials
- Ivan Yotov
- Guangri Xue
- Mary F. Wheeler
- Thomas Wick
- Shuyu Sun
- Son-Young Yi
- Timon Rabczuk
- Xiaoying Zhuang
Citations in the corpus
- Coupling multipoint flux mixed finite element methodswith continuous Galerkin methods for poroelasticity (2013, background): “Finite difference schemes on staggered grids designed to avoid nonphysical oscillations at early times have been developed in 1D in [15, 19].”
- Stability and monotonicity for some discretizations of the Biot’s consolidation model (2015, unknown): “It is well-known that approximations by standard finite difference and finite element methods of the poroelasticity equations often exhibit strong nonphysical oscillations in the fluid pressure, see for instance [20, 21, 22, 23, 24].”