Now showing items 1-4 of 4
Gravitational Forces in Dual-Porosity Models of Single Phase Flow
A dual porosity model is derived by the normal theory of homogenization. The model properly incorporates gravity in that it respects the equilibrium states of the medium.
Simulation of Flow in Root-Soil Systems
In this paper we develop a mathematical model of a root-soil system, and also accurate and efficient finite element and finite difference algorithms for approximating this model. The goal of our work is to develop an ...
Numerical Methods for the Simulation of Flow in Root-Soil Systems
We consider the numerical properties of approximation schemes for a model that simulates water transport in root-soil systems. The model given in this paper is a reformulation of a previously proposed model now defined ...
A New Formulation of Mixed Finite Element Methods for Second Order Elliptic Problems
In this paper we show that mixed finite element methods for a fairly general second order elliptic problem with variable coefficients can be given a nonmixed formulation. We define an approximation method by incorporating ...