Iterative solvers for Biot model under small and large deformations
Abstract
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 non-linear. A Lagrangian frame of reference is used to keep track of the deformation. We perform an implicit discretization in time (backward Euler) and propose two linearization schemes for solving the non-linear problems...
Paper Details
Title
Iterative solvers for Biot model under small and large deformations
Published Date
Jul 18, 2020
Journal
Volume
25
Issue
2
Pages
687 - 699
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