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Author ID: ghattas.omar-n Recent zbMATH articles by "Ghattas, Omar N."
Published as: Ghattas, Omar; Ghattas, O.; Ghattas, Omar N.

Publications by Year

Citations contained in zbMATH Open

76 Publications have been cited 2,155 times in 1,243 Documents Cited by Year
p4est: scalable algorithms for parallel adaptive mesh refinement on forests of octrees. Zbl 1230.65106
Burstedde, Carsten; Wilcox, Lucas C.; Ghattas, Omar
192
2011
A stochastic Newton MCMC method for large-scale statistical inverse problems with application to seismic inversion. Zbl 1250.65011
Martin, James; Wilcox, Lucas C.; Burstedde, Carsten; Ghattas, Omar
130
2012
A computational framework for infinite-dimensional Bayesian inverse problems. I: The linearized case, with application to global seismic inversion. Zbl 1287.35087
Bui-Thanh, Tan; Ghattas, Omar; Martin, James; Stadler, Georg
121
2013
Model reduction for large-scale systems with high-dimensional parametric input space. Zbl 1196.37127
Bui-Thanh, T.; Willcox, K.; Ghattas, O.
120
2008
A computational framework for infinite-dimensional Bayesian inverse problems. II: stochastic Newton MCMC with application to ice sheet flow inverse problems. Zbl 1303.35110
Petra, Noemi; Martin, James; Stadler, Georg; Ghattas, Omar
85
2014
Parallel Lagrange-Newton-Krylov-Schur methods for PDE-constrained optimization. I: The Krylov-Schur solver. Zbl 1091.65061
Biros, George; Ghattas, Omar
77
2005
A high-order discontinuous Galerkin method for wave propagation through coupled elastic-acoustic media. Zbl 1427.74071
Wilcox, Lucas C.; Stadler, Georg; Burstedde, Carsten; Ghattas, Omar
77
2010
Parameter and state model reduction for large-scale statistical inverse problems. Zbl 1217.65123
Lieberman, Chad; Willcox, Karen; Ghattas, Omar
75
2010
Fast algorithms for Bayesian uncertainty quantification in large-scale linear inverse problems based on low-rank partial Hessian approximations. Zbl 1229.65174
Flath, H. P.; Wilcox, L. C.; Akçelik, V.; Hill, Judith C.; Van Bloemen Waanders, B.; Ghattas, O.
72
2011
Nonlinear model reduction for uncertainty quantification in large-scale inverse problems. Zbl 1183.76837
Galbally, D.; Fidkowski, K.; Willcox, K.; Ghattas, O.
69
2010
Goal-oriented, model-constrained optimization for reduction of large-scale systems. Zbl 1123.65081
Bui-Thanh, T.; Willcox, K.; Ghattas, O.; van Bloemen Waanders, B.
67
2007
A-optimal design of experiments for infinite-dimensional Bayesian linear inverse problems with regularized \(\ell_0\)-sparsification. Zbl 1314.62163
Alexanderian, Alen; Petra, Noemi; Stadler, Georg; Ghattas, Omar
49
2014
A fast and scalable method for A-optimal design of experiments for infinite-dimensional Bayesian nonlinear inverse problems. Zbl 06536072
Alexanderian, Alen; Petra, Noemi; Stadler, Georg; Ghattas, Omar
47
2016
A Newton-CG method for large-scale three-dimensional elastic full-waveform seismic inversion. Zbl 1142.65052
Epanomeritakis, I.; Akçelik, V.; Ghattas, O.; Bielak, J.
44
2008
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. Zbl 1352.86017
Isaac, Tobin; Petra, Noemi; Stadler, Georg; Ghattas, Omar
43
2015
Mean-variance risk-averse optimal control of systems governed by PDEs with random parameter fields using quadratic approximations. Zbl 1391.93289
Alexanderian, Alen; Petra, Noemi; Stadler, Georg; Ghattas, Omar
39
2017
Parallel Lagrange-Newton–Krylov-Schur methods for PDE-constrained optimization. II: The Lagrange-Newton solver and its application to optimal control of steady viscous flows. Zbl 1091.65062
Biros, George; Ghattas, Omar
38
2005
An analysis of infinite dimensional Bayesian inverse shape acoustic scattering and its numerical approximation. Zbl 1306.65270
Bui-Thanh, Tan; Ghattas, Omar
37
2014
Optimal control of two-and three-dimensional incompressible Navier-Stokes flows. Zbl 0893.76067
Ghattas, Omar; Bark, Jai-Hyeong
35
1997
Hessian-based model reduction for large-scale systems with initial-condition inputs. Zbl 1195.76311
Bashir, O.; Willcox, K.; Ghattas, O.; van Bloemen Waanders, B.; Hill, J.
34
2008
On Bayesian A- and D-optimal experimental designs in infinite dimensions. Zbl 1359.62315
Alexanderian, Alen; Gloor, Philip J.; Ghattas, Omar
33
2016
Large-scale simulation of elastic wave propagation in heterogeneous media on parallel computers. Zbl 0961.74056
Bao, Hesheng; Bielak, Jacobo; Ghattas, Omar; Kallivokas, Loukas F.; O’Hallaron, David R.; Shewchuk, Jonathan R.; Xu, Jifeng
31
1998
Analysis of the Hessian for inverse scattering problems. I: Inverse shape scattering of acoustic waves. Zbl 1239.78006
Bui-Thanh, Tan; Ghattas, Omar
31
2012
A unified discontinuous Petrov-Galerkin method and its analysis for Friedrichs systems. Zbl 1278.65173
Bui-Thanh, Tan; Demkowicz, Leszek; Ghattas, Omar
30
2013
Large-scale PDE-constrained optimization. Zbl 1021.00015
28
2003
Large-scale inverse problems and quantification of uncertainty. Zbl 1203.62002
27
2011
hIPPYlib. An extensible software framework for large-scale inverse problems governed by PDEs. I: Deterministic inversion and linearized Bayesian inference. Zbl 07467976
Villa, Umberto; Petra, Noemi; Ghattas, Omar
26
2021
Real-time PDE-constrained optimization. Zbl 1117.49004
24
2007
Recursive algorithms for distributed forests of octrees. Zbl 1323.65105
Isaac, Tobin; Burstedde, Carsten; Wilcox, Lucas C.; Ghattas, Omar
23
2015
Hessian-based adaptive sparse quadrature for infinite-dimensional Bayesian inverse problems. Zbl 1439.65071
Chen, Peng; Villa, Umberto; Ghattas, Omar
23
2017
Large-scale PDE-constrained optimization: an introduction. Zbl 1094.49500
Biegler, Lorenz T.; Ghattas, Omar; Heinkenschloss, Matthias; van Bloemen Waanders, Bart
22
2003
Parallel scalable adjoint-based adaptive solution of variable-viscosity Stokes flow problems. Zbl 1227.76027
Burstedde, Carsten; Ghattas, Omar; Stadler, Georg; Tu, Tiankai; Wilcox, Lucas C.
21
2009
Analysis of the Hessian for inverse scattering problems. II: Inverse medium scattering of acoustic waves. Zbl 1239.78007
Bui-Thanh, Tan; Ghattas, Omar
21
2012
Taylor approximation and variance reduction for PDE-constrained optimal control under uncertainty. Zbl 1451.65076
Chen, Peng; Villa, Umberto; Ghattas, Omar
21
2019
Learning physics-based models from data: perspectives from inverse problems and model reduction. Zbl 1520.65043
Ghattas, Omar; Willcox, Karen
20
2021
Parallel octree-based finite element method for large-scale earthquake ground motion simulation. Zbl 1232.86004
Bielak, J.; Ghattas, O.; Kim, E.-J.
19
2005
Solution of nonlinear Stokes equations discretized by high-order finite elements on nonconforming and anisotropic meshes, with application to ice sheet dynamics. Zbl 1327.65242
Isaac, Tobin; Stadler, Georg; Ghattas, Omar
17
2015
Analysis of an \(hp\)-nonconforming discontinuous Galerkin spectral element method for wave propagation. Zbl 1250.65120
Bui-Thanh, Tan; Ghattas, Omar
16
2012
A-optimal encoding weights for nonlinear inverse problems, with application to the Helmholtz inverse problem. Zbl 1370.65064
Crestel, Benjamin; Alexanderian, Alen; Stadler, Georg; Ghattas, Omar
15
2017
Optimal design of truss structures by logic-based branch and cut. Zbl 1163.90827
Bollapragada, S.; Ghattas, O.; Hooker, J. N.
14
2001
Analysis of the Hessian for inverse scattering problems. III: Inverse medium scattering of electromagnetic waves in three dimensions. Zbl 1292.78012
Bui-Thanh, Tan; Ghattas, Omar
14
2013
Derivative-informed projected neural networks for high-dimensional parametric maps governed by PDEs. Zbl 1507.62299
O’Leary-Roseberry, Thomas; Villa, Umberto; Chen, Peng; Ghattas, Omar
14
2022
Nearly orthogonal two-dimensional grid generation with aspect ratio control. Zbl 0990.65132
Akcelik, Volkan; Jaramaz, Branislav; Ghattas, Omar
13
2001
A randomized maximum a posteriori method for posterior sampling of high dimensional nonlinear Bayesian inverse problems. Zbl 1386.35391
Wang, Kainan; Bui-Thanh, Tan; Ghattas, Omar
13
2018
Optimal design of acoustic metamaterial cloaks under uncertainty. Zbl 07511447
Chen, Peng; Haberman, Michael R.; Ghattas, Omar
13
2021
A variational finite element method for stationary nonlinear fluid-solid interaction. Zbl 0924.76057
Ghattas, Omar; Li, Xiaogang
12
1995
Discretely exact derivatives for hyperbolic PDE-constrained optimization problems discretized by the discontinuous Galerkin method. Zbl 1319.65051
Wilcox, Lucas C.; Stadler, Georg; Bui-Thanh, Tan; Ghattas, Omar
12
2015
Weighted BFBT preconditioner for Stokes flow problems with highly heterogeneous viscosity. Zbl 1392.65039
Rudi, Johann; Stadler, Georg; Ghattas, Omar
11
2017
Hessian-based sampling for high-dimensional model reduction. Zbl 1498.62106
Chen, Peng; Ghattas, Omar
11
2019
Adaptive Hessian-based nonstationary Gaussian process response surface method for probability density approximation with application to Bayesian solution of large-scale inverse problems. Zbl 1257.62035
Bui-Thanh, Tan; Ghattas, Omar; Higdon, David
11
2012
A reduced SAND method for optimal design of nonlinear structures. Zbl 0895.73050
Orozco, Carlos E.; Ghattas, Omar N.
10
1997
A scalable algorithm for MAP estimators in Bayesian inverse problems with Besov priors. Zbl 1347.49045
Bui-Thanh, Tan; Ghattas, Omar
10
2015
Taylor approximation for chance constrained optimization problems governed by partial differential equations with high-dimensional random parameters. Zbl 1473.65072
Chen, Peng; Ghattas, Omar
10
2021
A PDE-constrained optimization approach to the discontinuous Petrov-Galerkin method with a trust region inexact Newton-CG solver. Zbl 1425.65151
Bui-Thanh, Tan; Ghattas, Omar
9
2014
Hierarchical matrix approximations of Hessians arising in inverse problems governed by PDEs. Zbl 1453.65289
Ambartsumyan, Ilona; Boukaram, Wajih; Bui-Thanh, Tan; Ghattas, Omar; Keyes, David; Stadler, Georg; Turkiyyah, George; Zampini, Stefano
8
2020
Tensor train construction from tensor actions, with application to compression of large high order derivative tensors. Zbl 1465.35370
Alger, Nick; Chen, Peng; Ghattas, Omar
8
2020
Constructively well-posed approximation methods with unity inf-sup and continuity constants for partial differential equations. Zbl 1281.65129
Bui-Thanh, Tan; Demkowicz, Leszek; Ghattas, Omar
8
2013
Bayesian inference of heterogeneous epidemic models: application to COVID-19 spread accounting for long-term care facilities. Zbl 1502.62098
Chen, Peng; Wu, Keyi; Ghattas, Omar
7
2021
A shape Hessian-based boundary roughness analysis of Navier-Stokes flow. Zbl 1215.35122
Yang, Shan; Stadler, Georg; Moser, Robert; Ghattas, Omar
6
2011
A comparative study of structural similarity and regularization for joint inverse problems governed by PDEs. Zbl 1412.65197
Crestel, Benjamin; Stadler, Georg; Ghattas, Omar
6
2019
A fast and scalable computational framework for large-scale high-dimensional Bayesian optimal experimental design. Zbl 1514.62153
Wu, Keyi; Chen, Peng; Ghattas, Omar
5
2023
Large-scale Bayesian optimal experimental design with derivative-informed projected neural network. Zbl 1519.35348
Wu, Keyi; O’Leary-Roseberry, Thomas; Chen, Peng; Ghattas, Omar
5
2023
Dynamic-mesh finite element method for Lagrangian computational fluid dynamics. Zbl 1059.76036
Malcevic, Ivan; Ghattas, Omar
4
2002
A data scalable augmented Lagrangian KKT preconditioner for large-scale inverse problems. Zbl 1422.65090
Alger, Nick; Villa, Umberto; Bui-Thanh, Tan; Ghattas, Omar
4
2017
Learning high-dimensional parametric maps via reduced basis adaptive residual networks. Zbl 1507.68273
O’Leary-Roseberry, Thomas; Du, Xiaosong; Chaudhuri, Anirban; Martins, Joaquim R. R. A.; Willcox, Karen; Ghattas, Omar
4
2022
Stein variational reduced basis Bayesian inversion. Zbl 1467.62042
Chen, Peng; Ghattas, Omar
4
2021
Scalable Matrix-free adaptive product-convolution approximation for locally translation-invariant operators. Zbl 1461.41001
Alger, Nick; Rao, Vishwas; Myers, Aaron; Bui-Thanh, Tan; Ghattas, Omar
4
2019
A globally convergent modified Newton method for the direct minimization of the Ohta-Kawasaki energy with application to the directed self-assembly of diblock copolymers. Zbl 1480.49027
Cao, Lianghao; Ghattas, Omar; Oden, J. Tinsley
4
2022
A compiler for parallel finite element methods with domain-decomposed unstructured meshes. Zbl 0817.65079
Shewchuk, Jonathan Richard; Ghattas, Omar
3
1994
Infeasible path optimal design methods with applications to aerodynamic shape optimization. Zbl 0900.76216
Orozco, Carlos E.; Ghattas, Omar N.
3
1996
Domain decomposition methods for sensitivity analysis of a nonlinear aeroelasticity problem. Zbl 0939.74064
Ghattas, O.; Li, X.
3
1998
Sparse approach to simultaneous analysis and design of geometrically nonlinear structures. Zbl 0761.73078
Orozco, Carlos E.; Ghattas, Omar N.
3
1992
Optimal design of chemoepitaxial guideposts for the directed self-assembly of block copolymer systems using an inexact Newton algorithm. Zbl 07690209
Luo, Dingcheng; Cao, Lianghao; Chen, Peng; Ghattas, Omar; Oden, J. Tinsley
3
2023
Inexactness issues in the Lagrange-Newton-Krylov-Schur method for PDE-contrained optimization. Zbl 1062.65069
Biros, George; Ghattas, Omar
2
2003
An offline-online decomposition method for efficient linear Bayesian goal-oriented optimal experimental design: application to optimal sensor placement. Zbl 07673279
Wu, Keyi; Chen, Peng; Ghattas, Omar
2
2023
Residual-based error correction for neural operator accelerated Infinite-dimensional Bayesian inverse problems. Zbl 07788122
Cao, Lianghao; O’Leary-Roseberry, Thomas; Jha, Prashant K.; Oden, J. Tinsley; Ghattas, Omar
1
2023
A fast and scalable computational framework for large-scale high-dimensional Bayesian optimal experimental design. Zbl 1514.62153
Wu, Keyi; Chen, Peng; Ghattas, Omar
5
2023
Large-scale Bayesian optimal experimental design with derivative-informed projected neural network. Zbl 1519.35348
Wu, Keyi; O’Leary-Roseberry, Thomas; Chen, Peng; Ghattas, Omar
5
2023
Optimal design of chemoepitaxial guideposts for the directed self-assembly of block copolymer systems using an inexact Newton algorithm. Zbl 07690209
Luo, Dingcheng; Cao, Lianghao; Chen, Peng; Ghattas, Omar; Oden, J. Tinsley
3
2023
An offline-online decomposition method for efficient linear Bayesian goal-oriented optimal experimental design: application to optimal sensor placement. Zbl 07673279
Wu, Keyi; Chen, Peng; Ghattas, Omar
2
2023
Residual-based error correction for neural operator accelerated Infinite-dimensional Bayesian inverse problems. Zbl 07788122
Cao, Lianghao; O’Leary-Roseberry, Thomas; Jha, Prashant K.; Oden, J. Tinsley; Ghattas, Omar
1
2023
Derivative-informed projected neural networks for high-dimensional parametric maps governed by PDEs. Zbl 1507.62299
O’Leary-Roseberry, Thomas; Villa, Umberto; Chen, Peng; Ghattas, Omar
14
2022
Learning high-dimensional parametric maps via reduced basis adaptive residual networks. Zbl 1507.68273
O’Leary-Roseberry, Thomas; Du, Xiaosong; Chaudhuri, Anirban; Martins, Joaquim R. R. A.; Willcox, Karen; Ghattas, Omar
4
2022
A globally convergent modified Newton method for the direct minimization of the Ohta-Kawasaki energy with application to the directed self-assembly of diblock copolymers. Zbl 1480.49027
Cao, Lianghao; Ghattas, Omar; Oden, J. Tinsley
4
2022
hIPPYlib. An extensible software framework for large-scale inverse problems governed by PDEs. I: Deterministic inversion and linearized Bayesian inference. Zbl 07467976
Villa, Umberto; Petra, Noemi; Ghattas, Omar
26
2021
Learning physics-based models from data: perspectives from inverse problems and model reduction. Zbl 1520.65043
Ghattas, Omar; Willcox, Karen
20
2021
Optimal design of acoustic metamaterial cloaks under uncertainty. Zbl 07511447
Chen, Peng; Haberman, Michael R.; Ghattas, Omar
13
2021
Taylor approximation for chance constrained optimization problems governed by partial differential equations with high-dimensional random parameters. Zbl 1473.65072
Chen, Peng; Ghattas, Omar
10
2021
Bayesian inference of heterogeneous epidemic models: application to COVID-19 spread accounting for long-term care facilities. Zbl 1502.62098
Chen, Peng; Wu, Keyi; Ghattas, Omar
7
2021
Stein variational reduced basis Bayesian inversion. Zbl 1467.62042
Chen, Peng; Ghattas, Omar
4
2021
Hierarchical matrix approximations of Hessians arising in inverse problems governed by PDEs. Zbl 1453.65289
Ambartsumyan, Ilona; Boukaram, Wajih; Bui-Thanh, Tan; Ghattas, Omar; Keyes, David; Stadler, Georg; Turkiyyah, George; Zampini, Stefano
8
2020
Tensor train construction from tensor actions, with application to compression of large high order derivative tensors. Zbl 1465.35370
Alger, Nick; Chen, Peng; Ghattas, Omar
8
2020
Taylor approximation and variance reduction for PDE-constrained optimal control under uncertainty. Zbl 1451.65076
Chen, Peng; Villa, Umberto; Ghattas, Omar
21
2019
Hessian-based sampling for high-dimensional model reduction. Zbl 1498.62106
Chen, Peng; Ghattas, Omar
11
2019
A comparative study of structural similarity and regularization for joint inverse problems governed by PDEs. Zbl 1412.65197
Crestel, Benjamin; Stadler, Georg; Ghattas, Omar
6
2019
Scalable Matrix-free adaptive product-convolution approximation for locally translation-invariant operators. Zbl 1461.41001
Alger, Nick; Rao, Vishwas; Myers, Aaron; Bui-Thanh, Tan; Ghattas, Omar
4
2019
A randomized maximum a posteriori method for posterior sampling of high dimensional nonlinear Bayesian inverse problems. Zbl 1386.35391
Wang, Kainan; Bui-Thanh, Tan; Ghattas, Omar
13
2018
Mean-variance risk-averse optimal control of systems governed by PDEs with random parameter fields using quadratic approximations. Zbl 1391.93289
Alexanderian, Alen; Petra, Noemi; Stadler, Georg; Ghattas, Omar
39
2017
Hessian-based adaptive sparse quadrature for infinite-dimensional Bayesian inverse problems. Zbl 1439.65071
Chen, Peng; Villa, Umberto; Ghattas, Omar
23
2017
A-optimal encoding weights for nonlinear inverse problems, with application to the Helmholtz inverse problem. Zbl 1370.65064
Crestel, Benjamin; Alexanderian, Alen; Stadler, Georg; Ghattas, Omar
15
2017
Weighted BFBT preconditioner for Stokes flow problems with highly heterogeneous viscosity. Zbl 1392.65039
Rudi, Johann; Stadler, Georg; Ghattas, Omar
11
2017
A data scalable augmented Lagrangian KKT preconditioner for large-scale inverse problems. Zbl 1422.65090
Alger, Nick; Villa, Umberto; Bui-Thanh, Tan; Ghattas, Omar
4
2017
A fast and scalable method for A-optimal design of experiments for infinite-dimensional Bayesian nonlinear inverse problems. Zbl 06536072
Alexanderian, Alen; Petra, Noemi; Stadler, Georg; Ghattas, Omar
47
2016
On Bayesian A- and D-optimal experimental designs in infinite dimensions. Zbl 1359.62315
Alexanderian, Alen; Gloor, Philip J.; Ghattas, Omar
33
2016
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. Zbl 1352.86017
Isaac, Tobin; Petra, Noemi; Stadler, Georg; Ghattas, Omar
43
2015
Recursive algorithms for distributed forests of octrees. Zbl 1323.65105
Isaac, Tobin; Burstedde, Carsten; Wilcox, Lucas C.; Ghattas, Omar
23
2015
Solution of nonlinear Stokes equations discretized by high-order finite elements on nonconforming and anisotropic meshes, with application to ice sheet dynamics. Zbl 1327.65242
Isaac, Tobin; Stadler, Georg; Ghattas, Omar
17
2015
Discretely exact derivatives for hyperbolic PDE-constrained optimization problems discretized by the discontinuous Galerkin method. Zbl 1319.65051
Wilcox, Lucas C.; Stadler, Georg; Bui-Thanh, Tan; Ghattas, Omar
12
2015
A scalable algorithm for MAP estimators in Bayesian inverse problems with Besov priors. Zbl 1347.49045
Bui-Thanh, Tan; Ghattas, Omar
10
2015
A computational framework for infinite-dimensional Bayesian inverse problems. II: stochastic Newton MCMC with application to ice sheet flow inverse problems. Zbl 1303.35110
Petra, Noemi; Martin, James; Stadler, Georg; Ghattas, Omar
85
2014
A-optimal design of experiments for infinite-dimensional Bayesian linear inverse problems with regularized \(\ell_0\)-sparsification. Zbl 1314.62163
Alexanderian, Alen; Petra, Noemi; Stadler, Georg; Ghattas, Omar
49
2014
An analysis of infinite dimensional Bayesian inverse shape acoustic scattering and its numerical approximation. Zbl 1306.65270
Bui-Thanh, Tan; Ghattas, Omar
37
2014
A PDE-constrained optimization approach to the discontinuous Petrov-Galerkin method with a trust region inexact Newton-CG solver. Zbl 1425.65151
Bui-Thanh, Tan; Ghattas, Omar
9
2014
A computational framework for infinite-dimensional Bayesian inverse problems. I: The linearized case, with application to global seismic inversion. Zbl 1287.35087
Bui-Thanh, Tan; Ghattas, Omar; Martin, James; Stadler, Georg
121
2013
A unified discontinuous Petrov-Galerkin method and its analysis for Friedrichs systems. Zbl 1278.65173
Bui-Thanh, Tan; Demkowicz, Leszek; Ghattas, Omar
30
2013
Analysis of the Hessian for inverse scattering problems. III: Inverse medium scattering of electromagnetic waves in three dimensions. Zbl 1292.78012
Bui-Thanh, Tan; Ghattas, Omar
14
2013
Constructively well-posed approximation methods with unity inf-sup and continuity constants for partial differential equations. Zbl 1281.65129
Bui-Thanh, Tan; Demkowicz, Leszek; Ghattas, Omar
8
2013
A stochastic Newton MCMC method for large-scale statistical inverse problems with application to seismic inversion. Zbl 1250.65011
Martin, James; Wilcox, Lucas C.; Burstedde, Carsten; Ghattas, Omar
130
2012
Analysis of the Hessian for inverse scattering problems. I: Inverse shape scattering of acoustic waves. Zbl 1239.78006
Bui-Thanh, Tan; Ghattas, Omar
31
2012
Analysis of the Hessian for inverse scattering problems. II: Inverse medium scattering of acoustic waves. Zbl 1239.78007
Bui-Thanh, Tan; Ghattas, Omar
21
2012
Analysis of an \(hp\)-nonconforming discontinuous Galerkin spectral element method for wave propagation. Zbl 1250.65120
Bui-Thanh, Tan; Ghattas, Omar
16
2012
Adaptive Hessian-based nonstationary Gaussian process response surface method for probability density approximation with application to Bayesian solution of large-scale inverse problems. Zbl 1257.62035
Bui-Thanh, Tan; Ghattas, Omar; Higdon, David
11
2012
p4est: scalable algorithms for parallel adaptive mesh refinement on forests of octrees. Zbl 1230.65106
Burstedde, Carsten; Wilcox, Lucas C.; Ghattas, Omar
192
2011
Fast algorithms for Bayesian uncertainty quantification in large-scale linear inverse problems based on low-rank partial Hessian approximations. Zbl 1229.65174
Flath, H. P.; Wilcox, L. C.; Akçelik, V.; Hill, Judith C.; Van Bloemen Waanders, B.; Ghattas, O.
72
2011
Large-scale inverse problems and quantification of uncertainty. Zbl 1203.62002
27
2011
A shape Hessian-based boundary roughness analysis of Navier-Stokes flow. Zbl 1215.35122
Yang, Shan; Stadler, Georg; Moser, Robert; Ghattas, Omar
6
2011
A high-order discontinuous Galerkin method for wave propagation through coupled elastic-acoustic media. Zbl 1427.74071
Wilcox, Lucas C.; Stadler, Georg; Burstedde, Carsten; Ghattas, Omar
77
2010
Parameter and state model reduction for large-scale statistical inverse problems. Zbl 1217.65123
Lieberman, Chad; Willcox, Karen; Ghattas, Omar
75
2010
Nonlinear model reduction for uncertainty quantification in large-scale inverse problems. Zbl 1183.76837
Galbally, D.; Fidkowski, K.; Willcox, K.; Ghattas, O.
69
2010
Parallel scalable adjoint-based adaptive solution of variable-viscosity Stokes flow problems. Zbl 1227.76027
Burstedde, Carsten; Ghattas, Omar; Stadler, Georg; Tu, Tiankai; Wilcox, Lucas C.
21
2009
Model reduction for large-scale systems with high-dimensional parametric input space. Zbl 1196.37127
Bui-Thanh, T.; Willcox, K.; Ghattas, O.
120
2008
A Newton-CG method for large-scale three-dimensional elastic full-waveform seismic inversion. Zbl 1142.65052
Epanomeritakis, I.; Akçelik, V.; Ghattas, O.; Bielak, J.
44
2008
Hessian-based model reduction for large-scale systems with initial-condition inputs. Zbl 1195.76311
Bashir, O.; Willcox, K.; Ghattas, O.; van Bloemen Waanders, B.; Hill, J.
34
2008
Goal-oriented, model-constrained optimization for reduction of large-scale systems. Zbl 1123.65081
Bui-Thanh, T.; Willcox, K.; Ghattas, O.; van Bloemen Waanders, B.
67
2007
Real-time PDE-constrained optimization. Zbl 1117.49004
24
2007
Parallel Lagrange-Newton-Krylov-Schur methods for PDE-constrained optimization. I: The Krylov-Schur solver. Zbl 1091.65061
Biros, George; Ghattas, Omar
77
2005
Parallel Lagrange-Newton–Krylov-Schur methods for PDE-constrained optimization. II: The Lagrange-Newton solver and its application to optimal control of steady viscous flows. Zbl 1091.65062
Biros, George; Ghattas, Omar
38
2005
Parallel octree-based finite element method for large-scale earthquake ground motion simulation. Zbl 1232.86004
Bielak, J.; Ghattas, O.; Kim, E.-J.
19
2005
Large-scale PDE-constrained optimization. Zbl 1021.00015
28
2003
Large-scale PDE-constrained optimization: an introduction. Zbl 1094.49500
Biegler, Lorenz T.; Ghattas, Omar; Heinkenschloss, Matthias; van Bloemen Waanders, Bart
22
2003
Inexactness issues in the Lagrange-Newton-Krylov-Schur method for PDE-contrained optimization. Zbl 1062.65069
Biros, George; Ghattas, Omar
2
2003
Dynamic-mesh finite element method for Lagrangian computational fluid dynamics. Zbl 1059.76036
Malcevic, Ivan; Ghattas, Omar
4
2002
Optimal design of truss structures by logic-based branch and cut. Zbl 1163.90827
Bollapragada, S.; Ghattas, O.; Hooker, J. N.
14
2001
Nearly orthogonal two-dimensional grid generation with aspect ratio control. Zbl 0990.65132
Akcelik, Volkan; Jaramaz, Branislav; Ghattas, Omar
13
2001
Large-scale simulation of elastic wave propagation in heterogeneous media on parallel computers. Zbl 0961.74056
Bao, Hesheng; Bielak, Jacobo; Ghattas, Omar; Kallivokas, Loukas F.; O’Hallaron, David R.; Shewchuk, Jonathan R.; Xu, Jifeng
31
1998
Domain decomposition methods for sensitivity analysis of a nonlinear aeroelasticity problem. Zbl 0939.74064
Ghattas, O.; Li, X.
3
1998
Optimal control of two-and three-dimensional incompressible Navier-Stokes flows. Zbl 0893.76067
Ghattas, Omar; Bark, Jai-Hyeong
35
1997
A reduced SAND method for optimal design of nonlinear structures. Zbl 0895.73050
Orozco, Carlos E.; Ghattas, Omar N.
10
1997
Infeasible path optimal design methods with applications to aerodynamic shape optimization. Zbl 0900.76216
Orozco, Carlos E.; Ghattas, Omar N.
3
1996
A variational finite element method for stationary nonlinear fluid-solid interaction. Zbl 0924.76057
Ghattas, Omar; Li, Xiaogang
12
1995
A compiler for parallel finite element methods with domain-decomposed unstructured meshes. Zbl 0817.65079
Shewchuk, Jonathan Richard; Ghattas, Omar
3
1994
Sparse approach to simultaneous analysis and design of geometrically nonlinear structures. Zbl 0761.73078
Orozco, Carlos E.; Ghattas, Omar N.
3
1992
all top 5

Cited by 2,297 Authors

41 Ghattas, Omar N.
24 Bui-Thanh, Tan
23 Chen, Peng
22 Marzouk, Youssef M.
21 Willcox, Karen E.
19 Stadler, Georg
18 Cui, Tiangang
16 Carlberg, Kevin T.
16 Gibou, Frédéric
15 Kronbichler, Martin
14 Alexanderian, Alen
13 Demkowicz, Leszek F.
13 Farhat, Charbel H.
11 Chan, Jesse
11 Petra, Noemi
11 Saibaba, Arvind Krishna
10 Badia, Santiago
10 Bangerth, Wolfgang
10 Biros, George
10 Gugercin, Serkan
10 Heister, Timo
10 Heltai, Luca
10 Maier, Matthias Sebastian
10 Peherstorfer, Benjamin
10 Quarteroni, Alfio M.
10 Ruthotto, Lars
10 Villa, Umberto E.
9 Burstedde, Carsten
9 Choi, Youngsoo
9 Choo, Jinhyun
9 Girolami, Mark A.
9 Mang, Andreas
9 Navon, Ionel Michael
9 Pelteret, Jean-Paul
9 Stuart, Andrew M.
9 Turcksin, Bruno
8 Arndt, Daniel
8 Kallivokas, Loukas F.
8 Martín, Alberto F.
8 Mazzieri, Ilario
8 Rozza, Gianluigi
8 San, Omer
8 Schwab, Christoph
8 Sundar, Hari
7 Aquino, Wilkins
7 Barone, Matthew F.
7 Borggaard, Jeff T.
7 Capistrán, Marcos A.
7 Dede’, Luca
7 Gassner, Gregor J.
7 Haber, Eldad
7 Helin, Tapio
7 Keith, Brendan
7 Lee, Sanghyun
7 Manzoni, Andrea
7 Perego, Mauro
7 Petrov, Igor’ Borisovich
7 Rüde, Ulrich
7 Wheeler, Mary Fanett
7 Wohlmuth, Barbara I.
7 Zampini, Stefano
6 Bardsley, Johnathan M.
6 Davydov, Denis
6 De los Reyes, Juan Carlos
6 Ganapathysubramanian, Baskar
6 Hintermüller, Michael
6 Isaac, Tobin
6 Kaipio, Jari P.
6 Kalashnikova, Irina
6 Kouri, Drew P.
6 Li, Jinglai
6 Nguyen, Ngoc Cuong
6 Shen, Chunyu
6 Zhou, Tao
5 Afkham, Babak Maboudi
5 Amsallem, David
5 Anitescu, Mihai
5 Antonietti, Paola Francesca
5 Benner, Peter
5 Bielak, Jacobo
5 Bonnet, Marc
5 Bordas, Stéphane Pierre Alain
5 Cai, Xiao-Chuan
5 Christen, J. Andrés
5 Chung, Tsz Shun Eric
5 Erceg, Marko
5 Fang, Fangxin
5 Fehling, Marc
5 Fernando, Milinda
5 Fung, Samy Wu
5 Gauger, Nicolas R.
5 Gholami, Amir
5 Givoli, Dan
5 Hagstrom, Thomas M.
5 Hansen, Per Christian
5 Hesthaven, Jan S.
5 Hyvönen, Nuutti
5 Iliescu, Traian
5 Jiang, Lijian
5 Keyes, David Elliot
...and 2,197 more Authors
all top 5

Cited in 181 Serials

194 Journal of Computational Physics
167 Computer Methods in Applied Mechanics and Engineering
133 SIAM Journal on Scientific Computing
49 Inverse Problems
49 SIAM/ASA Journal on Uncertainty Quantification
40 International Journal for Numerical Methods in Engineering
36 Journal of Scientific Computing
31 Computers & Mathematics with Applications
20 Journal of Computational and Applied Mathematics
19 Computers and Fluids
16 Advances in Computational Mathematics
15 Computational Geosciences
13 Computational Mechanics
13 Inverse Problems and Imaging
12 Applied Mathematics and Computation
12 Inverse Problems in Science and Engineering
10 International Journal for Numerical Methods in Fluids
10 Optimization and Engineering
10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
9 Statistics and Computing
8 Numerische Mathematik
8 Applied Mathematical Modelling
8 SIAM Journal on Optimization
8 Journal of Numerical Mathematics
8 Communications in Computational Physics
7 Computer Physics Communications
7 Applied Numerical Mathematics
7 SIAM Journal on Imaging Sciences
6 Journal of Mathematical Imaging and Vision
6 Computational Optimization and Applications
6 Archives of Computational Methods in Engineering
6 GEM - International Journal on Geomathematics
5 Journal of Mathematical Analysis and Applications
5 International Journal of Computer Mathematics
5 International Journal of Computational Fluid Dynamics
4 Mathematics of Computation
4 Journal of Optimization Theory and Applications
4 SIAM Journal on Numerical Analysis
4 SIAM Review
4 Engineering Analysis with Boundary Elements
4 Mathematical Problems in Engineering
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
4 Nonlinear Analysis. Real World Applications
4 Computational Methods in Applied Mathematics
4 Multiscale Modeling & Simulation
4 Acta Numerica
3 Applicable Analysis
3 Journal of Fluid Mechanics
3 Journal of Mathematical Physics
3 ACM Transactions on Mathematical Software
3 Applied Mathematics and Optimization
3 Calcolo
3 Mathematics and Computers in Simulation
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 SIAM Journal on Control and Optimization
3 Numerical Methods for Partial Differential Equations
3 SIAM Journal on Matrix Analysis and Applications
3 Computational Statistics
3 SIAM Journal on Applied Mathematics
3 Mathematical Programming. Series A. Series B
3 ETNA. Electronic Transactions on Numerical Analysis
3 Computing and Visualization in Science
3 Vietnam Journal of Mathematics
3 Optimization Methods & Software
3 Foundations of Computational Mathematics
3 Journal of Machine Learning Research (JMLR)
3 Structural and Multidisciplinary Optimization
3 Journal of Theoretical Biology
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Communications on Applied Mathematics and Computation
3 Electronic Research Archive
3 Foundations of Data Science
3 SIAM Journal on Mathematics of Data Science
2 Journal of Mathematical Biology
2 Journal of Statistical Physics
2 Mathematical Methods in the Applied Sciences
2 Scandinavian Journal of Statistics
2 Wave Motion
2 Statistical Science
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Computational Mathematics and Mathematical Physics
2 Computational and Applied Mathematics
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Communications in Nonlinear Science and Numerical Simulation
2 Lobachevskii Journal of Mathematics
2 Communications on Pure and Applied Analysis
2 SIAM Journal on Applied Dynamical Systems
2 GAMM-Mitteilungen
2 The Annals of Applied Statistics
2 Advances in Mathematical Physics
2 SMAI Journal of Computational Mathematics
1 Acta Mechanica
1 Classical and Quantum Gravity
1 International Journal of Heat and Mass Transfer
1 Journal of the Franklin Institute
1 Moscow University Mathematics Bulletin
1 Physica A
1 Transport Theory and Statistical Physics
1 The Annals of Statistics
...and 81 more Serials
all top 5

Cited in 39 Fields

876 Numerical analysis (65-XX)
344 Partial differential equations (35-XX)
319 Fluid mechanics (76-XX)
253 Statistics (62-XX)
196 Mechanics of deformable solids (74-XX)
153 Calculus of variations and optimal control; optimization (49-XX)
96 Computer science (68-XX)
92 Geophysics (86-XX)
87 Operations research, mathematical programming (90-XX)
79 Probability theory and stochastic processes (60-XX)
68 Systems theory; control (93-XX)
49 Biology and other natural sciences (92-XX)
44 Optics, electromagnetic theory (78-XX)
32 Information and communication theory, circuits (94-XX)
20 Dynamical systems and ergodic theory (37-XX)
20 Statistical mechanics, structure of matter (82-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
17 Operator theory (47-XX)
16 Approximations and expansions (41-XX)
16 Classical thermodynamics, heat transfer (80-XX)
13 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
8 Functional analysis (46-XX)
8 Mechanics of particles and systems (70-XX)
7 Ordinary differential equations (34-XX)
6 Quantum theory (81-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 Astronomy and astrophysics (85-XX)
3 General and overarching topics; collections (00-XX)
3 Real functions (26-XX)
3 Integral equations (45-XX)
2 Measure and integration (28-XX)
2 Relativity and gravitational theory (83-XX)
2 Mathematics education (97-XX)
1 Combinatorics (05-XX)
1 Functions of a complex variable (30-XX)
1 Integral transforms, operational calculus (44-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Global analysis, analysis on manifolds (58-XX)

Citations by Year