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.NA2024
Oscillation-free numerical schemes for Biot's model and their iterative coupling solution
Ãlvaro Pé de la Riva, Francisco J. Gaspar, Xiaozhe Hu +3
In this work, we present a new stabilization method aimed at removing spurious oscillations in the pressure approximation of Biot's model for poroelasticity with low permeabilities…
math.NA2024
Multigrid solvers for multipoint flux approximations of the Darcy problem on rough quadrilateral grids
Andrés Arrarás, Francisco J. Gaspar, Laura Portero +1
In this work, an efficient blackbox-type multigrid method is proposed for solving multipoint flux approximations of the Darcy problem on logically rectangular grids. The approach i…