Event Type:

Applied Mathematics and Computation Seminar

Date/Time:

Friday, March 2, 2007 - 04:00

Location:

Gilkey 113

Event Link:

Local Speaker:

Abstract:

In this expository talk we consider an elliptic PDE whose solution in 2D, due to an "almost" point source term (or line source in 3D) exhibits a singularity. This presents a challenge to numerical methods which try to subtract out that singularity. Alternatively, it is a common practice in reservoir simulation where such singularities are associated with real injection/production wells, to use a so-called well model. We will discuss some such solutions and show how they do NOT carry over to problems with highly heterogeneous coefficients.