Advisor: Tim Kelley (NCSU)

(Grats to Tim on his forthcoming first mathematical grandchild)

Undergraduate Degree: Asbury College (2004) 

Presentations:  

Pdf of the presentation: Copper, SIAM

Papers:

Pseudo-Transient Continuation and Optimization 

C. T. Kelley, L. Qi, L-Z. Liao, J. P. Reese, and C. Winton, 2006

Classes:

MA 798K: Domain Decomposition and Multigrid

MA 798: Finite Elements in Groundwater

 

Research: 

My research focuses on optimizing inverse problems in groundwater flow models using Proper Orthogonal Decomposition (POD).  By projecting the full-scale model onto a very small set of basis vectors (in our case, we are currently using a full-model solution and the sensitivity vectors of that solution to the parameters as our basis), we are able to cheaply approximate the full-scale model to compare against data.  Currently, we are focusing on saturated flow, but will soon expand to exploration of the heat equation, unsaturated flow, and hopefully surface water flow.  Our full-model solution is generated using ADH, a 3-d finite element code written by the good folks at the Coastal & Hydraulics Lab, one of the ERDC Labs in Vicksburg, MS.