UMBC Home Page for Andrei Draganescu

Andrei Draganescu
Associate Professor, Department of Mathematics and Statistics, UMBC

Ph. D., Applied Mathematics, University of Chicago, 2004
B.Sc., Mathematics, University of Bucharest, Romania, 1993

About me

I joined the Department of Mathematics and Statistics at the University of Maryland, Baltimore County as an assistant professor in Fall 2006 after completing a two-year postdoctoral appointment in the Optimization and Uncertainty Estimation Department at the Sandia National Laboratories in Albuquerque, New Mexico. I received my Ph.D. in applied mathematics from the University of Chicago in 2004, my dissertation being directed by Todd Dupont and Ridgway Scott. My research area is numerical analysis of partial differential equations, with current focus on multilevel algorithms for inverse problems, and numerical methods for molecular dynamics computations.

Teaching

Grants

Current research interests

Students

Selected publications

Contact

Links

Teaching

Fall 2012

Math 630: Numerical Linear Algebra, M W 4:00 - 5:15 (Physics 201)

Previously taught courses

Grants

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

Numerical methods for MD computations

Postdocs

Ana Maria Soane

Students

Jyoti Saraswat (Ph.D.)

David Stanley (M.S. 2011)

Narae Lee (B.S. 2012)

Selected publications

Submitted

Testing Homogeneity of Several Normal Population Means Based on an Interval Hypothesis (with Junyong Park), submitted.
Sharp Estimates for the Convergence Rate of Orthomin(k) for a Class of Linear Systems (with Florin Spinu), submitted, arXiv:1109.2669.
Multigrid Preconditioning of Linear Systems for Semismooth Newton Methods Applied to Optimization Problems Constrained by Smoothing Operators, submitted (under revision), arXiv:1106.0090.

Published or accepted

Multigrid Solution of a Distributed Optimal Control Problem Constrained by the Stokes Equations (with Ana Maria Soane), Applied Mathematics and Computation, Volume 219, Issue 10, pp. 5622-5634, 2013. Also available as arXiv:1110.5281.
Multigrid Preconditioning of Linear Systems for Interior Point Methods Applied to a Class of Box-constrained Optimal Control Problems (with Cosmin Petra), SIAM Journal on Numerical Analysis, Vol. 50, No. 1, pp. 328-353, 2012.
Optimal Order Multilevel Preconditioners for Regularized Ill-posed Problems, (with Todd Dupont), Mathematics of Computation, 77, no. 264, pp. 2001-2038, 2008.
Dynamic Data-Driven Inversion for Terascale Simulations: Real-Time Identification of Airborne Contaminants, (with Volkan Akcelik, George Biros, Omar Ghattas, Judith C. Hill, and Bart van Bloemen Waanders), Proceedings of SC2005 (2005), IEEE/ACM.
Failure of the discrete maximum principle for an elliptic finite element problem, (with Todd Dupont and L. Ridgway Scott), Mathematics of Computation, 74, no. 249, pp. 1-23, 2005.

Tech Reports

Hamiltonian Molecular Dynamics for Computational Mechanicians and Numerical Analysts (with Rich Lehoucq and Paul Tupper), Sandia National Laboratories, Tech. Report, SAND 2008-6512, April 2009.
A Fast Multigrid Method for Inverting Linear Parabolic Problems, University of Chicago, Department of Computer Science, Tech. Report, TR-2004-01, January 2004.

Contact

University of Maryland, Baltimore County
Department of Mathematics and Statistics
1000 Hilltop Circle
Baltimore, MD 21250, USA

office: MP 420
phone: (410) 455-3237
fax: (410) 455-1066
draga 'at' math.umbc.edu
www.math.umbc.edu/~draga