Journal Papers
- E. M. Constantinescu, N. Petra, J. Bessac and C. G. Petra,
"Statistical Treatment of Inverse Problems Constrained by Differential
Equations-Based Models with Stochastic
Terms". Submitted. [arXiv]
- R. Nicholson, N. Petra and Jari P Kaipio. "Estimation of the Robin
coefficient field in a Poisson problem with uncertain conductivity
field", Inverse Problems, Volume 34, Number 11, (2018). [
IP, arXiv]
-
A. Alexanderian, N. Petra, G. Stadler and O. Ghattas. "Mean-variance
risk-averse optimal control of systems governed by PDEs with random
parameter fields using quadratic approximations", SIAM/ASA Journal
Uncertainty Quantification, 5(1), pp. 1166-1192, (2017). [SIAM
link, arXiv]
- N. Petra, C. G. Petra, Z. Zheng, E. Constantinescu and
M. Anitescu. "A Bayesian Approach for Parameter Estimation with
Uncertainty for Dynamic Power Systems", IEEE Transactions on Power Systems,
32(4), (2017). [IEEE link, arXiv]
- H. Zhu, N. Petra, G. Stadler, T. Isaac, T. J. R. Hughes, and
O. Ghattas. "Inversion of geothermal heat flux in a thermomechanically
coupled nonlinear Stokes ice sheet model", The Cryosphere, 10, 1477-1494 (2016).
[discussion,
reviews,
Cryosphere link]
- A. Alexanderian, N. Petra, G. Stadler and O. Ghattas. "A Fast
and Scalable Method for A-Optimal Design of Experiments for
Infinite-dimensional Bayesian Nonlinear Inverse Problems", SIAM J. Sci. Comput.,
38(1), A243–A272 (2016).
[SISC link,
arXiv]
- T. Isaac, N. Petra, G. Stadler, and O. Ghattas. "Scalable
and efficient algorithms for the propagation of uncertainty from
data through inference to prediction for large-scale problems,
with application to flow of the Antarctic ice sheet", Journal of
Computational Physics, 296, 348-368 (2015).
[link]
- N. Petra, J. Martin, G. Stadler and O. Ghattas. "A
computational framework for infinite-dimensional Bayesian
inverse problems: Part II. Stochastic Newton MCMC with
application to ice sheet flow inverse problems", SIAM J. Sci. Comput., 36(4),
pp. A1525-1555 (2014).
[SISC link, arxiv.org/1308.6221]
- A. Alexanderian, N. Petra, G. Stadler and O. Ghattas.
"A-optimal design of experiments for infinite-dimensional
Bayesian linear inverse problems with regularized
l_0-sparsification", SIAM J. Sci. Comput., 36(5), A2122–A2148 (2014).
[SISC link, arxiv.org/abs/1308.4084]
- J. Worthen, G. Stadler, N. Petra, M. Gurnis and O. Ghattas:
"Towards adjoint-based inversion for rheological parameters in
nonlinear viscous mantle flow", Physics of the Earth and
Planatery Interiors, 234, pp. 23-34 (2014).[link]
- N. Petra, H. Zhu, G. Stadler, T. J. R. Hughes and
O. Ghattas. "An inexact Gauss-Newton method for
inversion of basal sliding and rheology parameters in a
nonlinear Stokes ice sheet model". Journal of Glaciology,
Vol. 58, No. 211, pp. 889-903 (2012).
[view pdf]
- N. Petra, J. Zweck, S. E. Minkoff,
A. A. Kosterev, and J. H. Doty III. "Modeling and Design Optimization
of a Resonant Optothermoacoustic Trace Gas
Sensor". SIAM Journal on Applied Mathematics, vol. 71, no. 1, pp. 309-332 (2011).
[view pdf]
- N. Petra, J. Zweck, A. A. Kosterev, S. E. Minkoff,
and D. Thomazy. "Theoretical
Analysis of a Quartz-Enhanced Photoacoustic Spectroscopy Sensor", Applied Physics
B: Lasers and Optics, vol. 94, no. 4,
pp. 673-680 (2009).
[view pdf]
Proceedings and Technical
Reports
-
S. Fatehiboroujeni, N. Petra and S. Goyal. "Towards
Adjoint-Based Inversion of the Lamé Parameter Field for Slender
Structures With Cantilever Loading", ASME 2016 International Design
Engineering Technical Conferences and Computers and Information in
Engineering Conference, Volume 8: 28th Conference on Mechanical
Vibration and Noise Charlotte, North Carolina, USA, August 21–24, 2016.
[link]
- N. Petra and G. Stadler, 2011.
"Model variational inverse problems
governed by partial differential equations", ICES Report No. 11-05,
The Institute for Computational Engineering and Sciences, The
University of Texas at Austin. [view pdf]
The model problems and related .m files can be downloaded from here.
- N. Petra, J. Zweck, S. E. Minkoff, A. A. Kosterev, and
J. H. Doty III. "Validation of a Model of a Resonant
Optothermoacoustic Trace Gas Sensor". Proceedings of the Lasers and
Electro-Optics (CLEO) Conference 2011, Baltimore,
Maryland, May 1-6, 2011.
- N. Petra, A. A. Kosterev, J. Zweck, S. E. Minkoff, and J. H. Doty
III. "Numerical and Experimental Investigation of a Resonant
Optothermoacoustic Sensor". Proceedings of the Lasers and
Electro-Optics (CLEO) Conference 2010, San Jose,
California, May 16-21, 2010. (pages
1-2).
[view pdf]
- N. Petra and M. K. Gobbert. "Parallel Performance Studies for
COMSOL Multiphysics
Using Scripting and Batch Processing". In: Yeswanth Rao, editor,
Proceedings of the
COMSOL Conference 2009, Boston, MA, 2009 (pages 1-6).
[view pdf]
- N. Petra and M. K. Gobbert. "Performance Studies with COMSOL
Multiphysics via Scripting and Batch Processing". Technical Report
number HPCF20094, UMBC High Performance Computing Facility,
University of Maryland, Baltimore County, 2009
(pages 1-13).
[view
pdf]