Browsing Bergen Open Research Archive by Author "Borregales Reveron, Manuel Antonio"
Now showing items 1-4 of 4
-
Higher order space-time elements for a non-linear Biot model
Borregales Reveron, Manuel Antonio; Radu, Florin Adrian (Journal article; Peer reviewed, 2019)In this work, we consider a non-linear extension of the linear, quasi-static Biot’s model. Precisely, we assume that the volumetric strain and the fluid compressibility are non-linear functions. We propose a fully discrete ... -
Iterative solvers for Biot model under small and large deformation
Borregales Reveron, Manuel Antonio; Kumar, Kundan; Nordbotten, Jan Martin; Radu, Florin Adrian (Journal article; Peer reviewed, 2021)We consider L-scheme and Newton-based solvers for Biot model under large deformation. The mechanical deformation follows the Saint Venant-Kirchoff constitutive law. Furthermore, the fluid compressibility is assumed to be ... -
Iterative solvers for poromechanics : Iterative solvers for poromechanics
Borregales Reveron, Manuel Antonio (Doctoral thesis, 2019-11-22)This thesis concerns iterative solvers for poromechanics problems. The problems in the studies have involved linear poromechanics, non-linear poromechanics, and poromechanics under large deformation. We included high order ... -
Robust iterative schemes for non-linear poromechanics
Borregales Reveron, Manuel Antonio; Radu, Florin Adrian; Kumar, Kundan; Nordbotten, Jan Martin (Peer reviewed; Journal article, 2018)We consider a non-linear extension of Biot’s model for poromechanics, wherein both the fluid flow and mechanical deformation are allowed to be non-linear. Specifically, we study the case when the volumetric stress and the ...