MS17: Numerical Approximation of Partial Differential Equations II Darcy Fluid Flow with Deposition

In this talk we consider a Darcy flow problem coupled with a deposition function. Our model arises in the context of filtration, where a fluid carrying some particulate flows through some porous medium. As the particulate deposits, the porosity of the filter changes, modifying the flow conditions. In the talk we will motivate the model, discuss the existence and uniquess of our problem, provide an a priori error analysis and show some computational results.