2019 - 2022, NSF Award 1913201, Collaborative Research: Multilevel Methods for Optimal Control of Partial Differential Equations and Optimization-Based Domain Decomposition, PI with co-PI Bedrich Sousedik, in collaboration with Harbir Antil at George Mason University.
2014 - 2018, DOE Award DE-SC0005455 (renewal), Efficient Solution Methods
for Large-Scale Optimization Problems Constrained by Time-Dependent Partial Differential Equations, PI.
2010 - 2013, DOE Award DE-SC0005455, Multilevel Techniques for Large-Scale Inverse Problems, PI.
2010 - 2013, NSF Award 1016177, Multilevel Methods in PDE Constrained Optimization, PI.
2008 - 2011, NSF Award 0821311, SCREMS: Parallel Computing for Interdisciplinary Research in Mathematics and Statistics, co-PI with Matthias Gobbert (PI),
Nagaraj Neerchal, and Florian Potra.
2007, Sandia Corporation Contract, Mathematical Investigations in Support of Atomistic to Continuum Multiscale Coupling Analysis, PI, with Sandia sponsor
Rich Lehoucq
Current research interests
Multilevel methods for PDE constrained optimization
Former postdocs
Ana Maria Soane (US Naval Academy)
Students
Michael Retzlaff
Sumaya Alzuhairy
Mona Hajghassem, Ph.D. 2017 (University of Baltimore)
Testing Homogeneity of Several Normal Population Means Based on an Interval Hypothesis (with Junyong Park), accepted for publication in
Communications in Statistics - Simulation and Computation.