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Consistency issues in pdf methods
(Tipografia Universitatii Ovidius, 2015)
Concentrations of chemical species transported in random environments need to be statistically characterized by probability density functions (PDF). Solutions to evolution equations for the one-point one-time PDF are usually ...
Stable cell-centered finite volume discretization for biot equations
In this paper we discuss a new discretization for the Biot equations. The discretization treats the coupled system of deformation and flow directly, as opposed to combining discretizations for the two separate subproblems. ...
A convergent mass conservative numerical scheme based on mixed finite elements for two-phase flow in porous media
In this work we present a mass conservative numerical scheme for two-phase flow in porous media. The model for flow consists on two fully coupled, non-linear equations: a degenerate parabolic equation and an elliptic equation. ...
Finite volume methods for elasticity with weak symmetry
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 ...