Browsing Department of Mathematics by Journals "International Journal for Numerical Methods in Engineering"
Now showing items 1-5 of 5
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Cell-centered finite volume discretizations for deformable porous media
(Peer reviewed; Journal article, 2014-08-11)The development of cell-centered finite volume discretizations for deformation is motivated by the desire for a compatible approach with the discretization of fluid flow in deformable porous media. We express the conservation ... -
Finite volume discretization for poroelastic media with fractures modeled by contact mechanics
(Peer reviewed; Journal article, 2020)A fractured poroelastic body is considered where the opening of the fractures is governed by a nonpenetration law, whereas slip is described by a Coulomb‐type friction law. This physical model results in a nonlinear ... -
Finite volume methods for elasticity with weak symmetry
(Peer reviewed; Journal article, 2017-11)We introduce a new cell‐centered finite volume discretization for elasticity with weakly enforced symmetry of the stress tensor. The method is motivated by the need for robust discretization methods for deformation and ... -
Modeling and discretization of flow in porous media with thin, full-tensor permeability inclusions
(Journal article; Peer reviewed, 2021)When modeling fluid flow in fractured reservoirs, it is common to represent the fractures as lower-dimensional inclusions embedded in the host medium. Existing discretizations of flow in porous media with thin inclusions ... -
On the optimization of the fixed‐stress splitting for Biot's equations
(Peer reviewed; Journal article, 2019)In this work, we are interested in efficiently solving the quasi‐static, linear Biot model for poroelasticity. We consider the fixed‐stress splitting scheme, which is a popular method for iteratively solving Biot's equations. ...