3 papers
math.NA2025
Convergence analysis for non-iterative sequential schemes for Biot's model
Xiaozhe Hu, Francisco J. Gaspar, Carmen Rodrigo
An alternative to the fully implicit or monolithic methods used for the solution of the coupling of fluid flow and deformation in porous media is a sequential approach in which the…
math.NA2020
A two level method for isogeometric discretizations
Álvaro Pé de la Riva, Carmen Rodrigo, Francisco J. Gaspar
Isogeometric Analysis (IGA) is a computational technique for the numerical approximation of partial differential equations (PDEs). This technique is based on the use of spline-type…
math.NA2019
Robust preconditioners for a new stabilized discretization of the poroelastic equations
James H. Adler, Francisco J. Gaspar, Xiaozhe Hu +3
In this paper, we present block preconditioners for a stabilized discretization of the poroelastic equations developed in [45]. The discretization is proved to be well-posed with r…