| A computational framework for infinite-dimensional Bayesian inverse problems, Part II: Stochastic Newton MCMC with application to ice sheet flow inverse problems N Petra, J Martin, G Stadler, O Ghattas SIAM Journal on Scientific Computing 36 (4), A1525-A1555, 2014 | 291 | 2014 |
| 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 … T Isaac, N Petra, G Stadler, O Ghattas Journal of Computational Physics 296, 348-368, 2015 | 182 | 2015 |
| A fast and scalable method for A-optimal design of experiments for infinite-dimensional Bayesian nonlinear inverse problems A Alexanderian, N Petra, G Stadler, O Ghattas SIAM Journal on Scientific Computing 38 (1), A243-A272, 2016 | 173 | 2016 |
| A-Optimal Design of Experiments for Infinite-Dimensional Bayesian Linear Inverse Problems with Regularized -Sparsification A Alexanderian, N Petra, G Stadler, O Ghattas SIAM Journal on Scientific Computing 36 (5), A2122-A2148, 2014 | 167 | 2014 |
| Theoretical analysis of a quartz-enhanced photoacoustic spectroscopy sensor N Petra, J Zweck, AA Kosterev, SE Minkoff, D Thomazy Applied Physics B 94, 673-680, 2009 | 154 | 2009 |
| An inexact Gauss-Newton method for inversion of basal sliding and rheology parameters in a nonlinear Stokes ice sheet model N Petra, H Zhu, G Stadler, TJR Hughes, O Ghattas Journal of Glaciology 58 (211), 889-903, 2012 | 128 | 2012 |
| hIPPYlib: An extensible software framework for large-scale inverse problems governed by PDEs: Part I: Deterministic inversion and linearized Bayesian inference U Villa, N Petra, O Ghattas ACM Transactions on Mathematical Software (TOMS) 47 (2), 1-34, 2021 | 113 | 2021 |
| Mean-variance risk-averse optimal control of systems governed by PDEs with random parameter fields using quadratic approximations A Alexanderian, N Petra, G Stadler, O Ghattas SIAM/ASA Journal on Uncertainty Quantification 5 (1), 1166-1192, 2017 | 104 | 2017 |
| A Bayesian approach for parameter estimation with uncertainty for dynamic power systems N Petra, CG Petra, Z Zhang, EM Constantinescu, M Anitescu IEEE Transactions on Power Systems 32 (4), 2735-2743, 2016 | 80 | 2016 |
| hIPPYlib: An extensible software framework for large-scale inverse problems U Villa, N Petra, O Ghattas Journal of Open Source Software 3 (30), 2018 | 72 | 2018 |
| Model variational inverse problems governed by partial differential equations N Petra, G Stadler ICES REPORT 11-05, 2011 | 65 | 2011 |
| Towards adjoint-based inversion for rheological parameters in nonlinear viscous mantle flow J Worthen, G Stadler, N Petra, M Gurnis, O Ghattas Physics of the Earth and Planetary Interiors 234, 23-34, 2014 | 51 | 2014 |
| Optimal design of large-scale Bayesian linear inverse problems under reducible model uncertainty: Good to know what you don't know A Alexanderian, N Petra, G Stadler, I Sunseri SIAM/ASA Journal on Uncertainty Quantification 9 (1), 163-184, 2021 | 26 | 2021 |
| Inferring the basal sliding coefficient field for the Stokes ice sheet model under rheological uncertainty O Babaniyi, R Nicholson, U Villa, N Petra The Cryosphere 15 (4), 1731-1750, 2021 | 25 | 2021 |
| Modeling and design optimization of a resonant optothermoacoustic trace gas sensor N Petra, J Zweck, SE Minkoff, AA Kosterev, JH Doty III SIAM Journal on Applied Mathematics 71 (1), 309-332, 2011 | 25 | 2011 |
| Estimation of the Robin coefficient field in a Poisson problem with uncertain conductivity field R Nicholson, N Petra, JP Kaipio Inverse Problems 34 (11), 115005, 2018 | 24 | 2018 |
| hIPPYlib-MUQ: A Bayesian inference software framework for integration of data with complex predictive models under uncertainty KT Kim, U Villa, M Parno, Y Marzouk, O Ghattas, N Petra ACM Transactions on Mathematical Software 49 (2), 1-31, 2023 | 20 | 2023 |
| On the derivation of quasi-Newton formulas for optimization in function spaces RG Vuchkov, CG Petra, N Petra Numerical Functional Analysis and Optimization 41 (13), 1564-1587, 2020 | 15 | 2020 |
| Inversion of geothermal heat flux in a thermomechanically coupled nonlinear Stokes ice sheet model H Zhu, N Petra, G Stadler, T Isaac, TJR Hughes, O Ghattas The Cryosphere 10 (4), 1477-1494, 2016 | 15 | 2016 |
| Parallel performance studies for COMSOL Multiphysics using scripting and batch processing N Petra, MK Gobbert Proceedings of the COMSOL Conference, 2009 | 14 | 2009 |
Omar GhattasProfessor & Cockrell endowed chair, Mechanical Engineering & Oden Institute, Univ of Texas at AustinVerified email at ices.utexas.edu
