We present a scheme for solving two-dimensional, nonlinear reaction-diiusion equations, s @p @t ? r (Krp) = f (p); using a mixed nite-element method. To linearize the mixed-method equations, we use aâ€¦ (More)

Mixed finite-element methods are attractive for modeling flows in porous media since they can yield pressures and velocities having comparable accuracy. In solving the resulting discrete equations,â€¦ (More)

1. INTRODUCTION This paper presents a finite-element collocation scheme for simulating variably saturated flows in two space dimensions. The scheme is an extension of a mass conservingâ€¦ (More)

We demonstrate how a network model can predict porosity and permeability changes in a porous medium as a result of bio lm buildup in the pore spaces. A bio lm consists of bacteria and extracellularâ€¦ (More)

We develop two-grid schemes for solving nonlinear reaction-diiusion systems , @p @t ? r (Krp) = f(x; p); where p = (p; q) is an unknown vector-valued function. The schemes use discretizations basedâ€¦ (More)

Groundwater contaminant modeling presents several challenges to the mathematician. Among these are the need to compute accurate water velocities and difficulties arising from fine-scaleâ€¦ (More)