Event Detail

Event Type: 
Applied Mathematics and Computation Seminar
Friday, March 2, 2007 - 04:00
Gilkey 113

Speaker Info

Local Speaker: 

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.