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Ghattas, Omar N.

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Author ID: ghattas.omar-n Recent zbMATH articles by "Ghattas, Omar N."
Published as: Ghattas, O.; Ghattas, Omar; Ghattas, Omar N.
Documents Indexed: 62 Publications since 1992, including 3 Books

Publications by Year

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60 Publications have been cited 1,169 times in 777 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
106
2011
Model reduction for large-scale systems with high-dimensional parametric input space. Zbl 1196.37127
Bui-Thanh, T.; Willcox, K.; Ghattas, O.
83
2008
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
68
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
58
2013
Parallel Lagrange-Newton-Krylov-Schur methods for PDE-constrained optimization. I: The Krylov-Schur solver. Zbl 1091.65061
Biros, George; Ghattas, Omar
56
2005
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.
55
2007
Parameter and state model reduction for large-scale statistical inverse problems. Zbl 1217.65123
Lieberman, Chad; Willcox, Karen; Ghattas, Omar
50
2010
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
50
2010
Nonlinear model reduction for uncertainty quantification in large-scale inverse problems. Zbl 1183.76837
Galbally, D.; Fidkowski, K.; Willcox, K.; Ghattas, O.
44
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.
39
2011
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
37
2014
Optimal control of two-and three-dimensional incompressible Navier-Stokes flows. Zbl 0893.76067
Ghattas, Omar; Bark, Jai-Hyeong
36
1997
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.
29
2008
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
27
2005
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.
23
2008
Large-scale PDE-constrained optimization. Zbl 1021.00015
Biegler, Lorenz T. (ed.); Ghattas, Omar (ed.); Heinkenschloss, Matthias (ed.); van Bloemen Waanders, Bart (ed.)
23
2003
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
23
1998
A unified discontinuous Petrov-Galerkin method and its analysis for Friedrichs systems. Zbl 1278.65173
Bui-Thanh, Tan; Demkowicz, Leszek; Ghattas, Omar
22
2013
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
21
2015
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
19
2016
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
19
2014
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.
16
2009
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
15
2017
An analysis of infinite dimensional Bayesian inverse shape acoustic scattering and its numerical approximation. Zbl 1306.65270
Bui-Thanh, Tan; Ghattas, Omar
15
2014
Analysis of the Hessian for inverse scattering problems. I: Inverse shape scattering of acoustic waves. Zbl 1239.78006
Bui-Thanh, Tan; Ghattas, Omar
14
2012
Real-time PDE-constrained optimization. Zbl 1117.49004
Biegler, Lorenz T. (ed.); Ghattas, Omar (ed.); Heinkenschloss, Matthias (ed.); Keyes, David (ed.); van Bloemen Waanders, Bart (ed.)
14
2007
Optimal design of truss structures by logic-based branch and cut. Zbl 1163.90827
Bollapragada, S.; Ghattas, O.; Hooker, J. N.
14
2001
On Bayesian A- and D-optimal experimental designs in infinite dimensions. Zbl 1359.62315
Alexanderian, Alen; Gloor, Philip J.; Ghattas, Omar
12
2016
Recursive algorithms for distributed forests of octrees. Zbl 1323.65105
Isaac, Tobin; Burstedde, Carsten; Wilcox, Lucas C.; Ghattas, Omar
12
2015
Large-scale inverse problems and quantification of uncertainty. Zbl 1203.62002
Biegler, Lorenz (ed.); Biros, George (ed.); Ghattas, Omar (ed.); Heinkenschloss, Matthias (ed.); Keyes, David (ed.); Mallick, Bani (ed.); Marzouk, Youssef (ed.); Tenorio, Luis (ed.); van Bloemen Waanders, Bart (ed.); Willcox, Karen (ed.)
12
2011
Parallel octree-based finite element method for large-scale earthquake ground motion simulation. Zbl 1232.86004
Bielak, J.; Ghattas, O.; Kim, E.-J.
12
2005
Nearly orthogonal two-dimensional grid generation with aspect ratio control. Zbl 0990.65132
Akcelik, Volkan; Jaramaz, Branislav; Ghattas, Omar
12
2001
A variational finite element method for stationary nonlinear fluid-solid interaction. Zbl 0924.76057
Ghattas, Omar; Li, Xiaogang
12
1995
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
10
2015
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
9
2012
Analysis of the Hessian for inverse scattering problems. II: Inverse medium scattering of acoustic waves. Zbl 1239.78007
Bui-Thanh, Tan; Ghattas, Omar
9
2012
Analysis of an \(hp\)-nonconforming discontinuous Galerkin spectral element method for wave propagation. Zbl 1250.65120
Bui-Thanh, Tan; Ghattas, Omar
8
2012
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
7
2013
Large-scale PDE-constrained optimization: an introduction. Zbl 1094.49500
Biegler, Lorenz T.; Ghattas, Omar; Heinkenschloss, Matthias; van Bloemen Waanders, Bart
7
2003
A reduced SAND method for optimal design of nonlinear structures. Zbl 0895.73050
Orozco, Carlos E.; Ghattas, Omar N.
7
1997
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
6
2018
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
6
2015
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
6
2013
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
5
2014
A scalable algorithm for MAP estimators in Bayesian inverse problems with Besov priors. Zbl 1347.49045
Bui-Thanh, Tan; Ghattas, Omar
4
2015
Sparse approach to simultaneous analysis and design of geometrically nonlinear structures. Zbl 0761.73078
Orozco, Carlos E.; Ghattas, Omar N.
4
1992
Hessian-based adaptive sparse quadrature for infinite-dimensional Bayesian inverse problems. Zbl 1439.65071
Chen, Peng; Villa, Umberto; Ghattas, Omar
3
2017
Weighted BFBT preconditioner for Stokes flow problems with highly heterogeneous viscosity. Zbl 1392.65039
Rudi, Johann; Stadler, Georg; Ghattas, Omar
3
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
3
2017
Dynamic-mesh finite element method for Lagrangian computational fluid dynamics. Zbl 1059.76036
Malcevic, Ivan; Ghattas, Omar
3
2002
Domain decomposition methods for sensitivity analysis of a nonlinear aeroelasticity problem. Zbl 0939.74064
Ghattas, O.; Li, X.
3
1998
Infeasible path optimal design methods with applications to aerodynamic shape optimization. Zbl 0900.76216
Orozco, Carlos E.; Ghattas, Omar N.
3
1996
A compiler for parallel finite element methods with domain-decomposed unstructured meshes. Zbl 0817.65079
Shewchuk, Jonathan Richard; Ghattas, Omar
3
1994
Taylor approximation and variance reduction for PDE-constrained optimal control under uncertainty. Zbl 1451.65076
Chen, Peng; Villa, Umberto; Ghattas, Omar
2
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
2
2019
A data scalable augmented Lagrangian KKT preconditioner for large-scale inverse problems. Zbl 1422.65090
Alger, Nick; Villa, Umberto; Bui-Thanh, Tan; Ghattas, Omar
2
2017
A shape Hessian-based boundary roughness analysis of Navier-Stokes flow. Zbl 1215.35122
Yang, Shan; Stadler, Georg; Moser, Robert; Ghattas, Omar
2
2011
Inexactness issues in the Lagrange-Newton-Krylov-Schur method for PDE-contrained optimization. Zbl 1062.65069
Biros, George; Ghattas, Omar
2
2003
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
1
2020
Scalable Matrix-free adaptive product-convolution approximation for locally translation-invariant operators. Zbl 07099346
Alger, Nick; Rao, Vishwas; Myers, Aaron; Bui-Thanh, Tan; Ghattas, Omar
1
2019
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
1
2020
Taylor approximation and variance reduction for PDE-constrained optimal control under uncertainty. Zbl 1451.65076
Chen, Peng; Villa, Umberto; Ghattas, Omar
2
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
2
2019
Scalable Matrix-free adaptive product-convolution approximation for locally translation-invariant operators. Zbl 07099346
Alger, Nick; Rao, Vishwas; Myers, Aaron; Bui-Thanh, Tan; Ghattas, Omar
1
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
6
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
15
2017
Hessian-based adaptive sparse quadrature for infinite-dimensional Bayesian inverse problems. Zbl 1439.65071
Chen, Peng; Villa, Umberto; Ghattas, Omar
3
2017
Weighted BFBT preconditioner for Stokes flow problems with highly heterogeneous viscosity. Zbl 1392.65039
Rudi, Johann; Stadler, Georg; Ghattas, Omar
3
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
3
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
2
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
19
2016
On Bayesian A- and D-optimal experimental designs in infinite dimensions. Zbl 1359.62315
Alexanderian, Alen; Gloor, Philip J.; Ghattas, Omar
12
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
21
2015
Recursive algorithms for distributed forests of octrees. Zbl 1323.65105
Isaac, Tobin; Burstedde, Carsten; Wilcox, Lucas C.; Ghattas, Omar
12
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
10
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
6
2015
A scalable algorithm for MAP estimators in Bayesian inverse problems with Besov priors. Zbl 1347.49045
Bui-Thanh, Tan; Ghattas, Omar
4
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
37
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
19
2014
An analysis of infinite dimensional Bayesian inverse shape acoustic scattering and its numerical approximation. Zbl 1306.65270
Bui-Thanh, Tan; Ghattas, Omar
15
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
5
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
58
2013
A unified discontinuous Petrov-Galerkin method and its analysis for Friedrichs systems. Zbl 1278.65173
Bui-Thanh, Tan; Demkowicz, Leszek; Ghattas, Omar
22
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
7
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
6
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
68
2012
Analysis of the Hessian for inverse scattering problems. I: Inverse shape scattering of acoustic waves. Zbl 1239.78006
Bui-Thanh, Tan; Ghattas, Omar
14
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
9
2012
Analysis of the Hessian for inverse scattering problems. II: Inverse medium scattering of acoustic waves. Zbl 1239.78007
Bui-Thanh, Tan; Ghattas, Omar
9
2012
Analysis of an \(hp\)-nonconforming discontinuous Galerkin spectral element method for wave propagation. Zbl 1250.65120
Bui-Thanh, Tan; Ghattas, Omar
8
2012
p4est: scalable algorithms for parallel adaptive mesh refinement on forests of octrees. Zbl 1230.65106
Burstedde, Carsten; Wilcox, Lucas C.; Ghattas, Omar
106
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.
39
2011
Large-scale inverse problems and quantification of uncertainty. Zbl 1203.62002
Biegler, Lorenz (ed.); Biros, George (ed.); Ghattas, Omar (ed.); Heinkenschloss, Matthias (ed.); Keyes, David (ed.); Mallick, Bani (ed.); Marzouk, Youssef (ed.); Tenorio, Luis (ed.); van Bloemen Waanders, Bart (ed.); Willcox, Karen (ed.)
12
2011
A shape Hessian-based boundary roughness analysis of Navier-Stokes flow. Zbl 1215.35122
Yang, Shan; Stadler, Georg; Moser, Robert; Ghattas, Omar
2
2011
Parameter and state model reduction for large-scale statistical inverse problems. Zbl 1217.65123
Lieberman, Chad; Willcox, Karen; Ghattas, Omar
50
2010
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
50
2010
Nonlinear model reduction for uncertainty quantification in large-scale inverse problems. Zbl 1183.76837
Galbally, D.; Fidkowski, K.; Willcox, K.; Ghattas, O.
44
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.
16
2009
Model reduction for large-scale systems with high-dimensional parametric input space. Zbl 1196.37127
Bui-Thanh, T.; Willcox, K.; Ghattas, O.
83
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.
29
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.
23
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.
55
2007
Real-time PDE-constrained optimization. Zbl 1117.49004
Biegler, Lorenz T. (ed.); Ghattas, Omar (ed.); Heinkenschloss, Matthias (ed.); Keyes, David (ed.); van Bloemen Waanders, Bart (ed.)
14
2007
Parallel Lagrange-Newton-Krylov-Schur methods for PDE-constrained optimization. I: The Krylov-Schur solver. Zbl 1091.65061
Biros, George; Ghattas, Omar
56
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
27
2005
Parallel octree-based finite element method for large-scale earthquake ground motion simulation. Zbl 1232.86004
Bielak, J.; Ghattas, O.; Kim, E.-J.
12
2005
Large-scale PDE-constrained optimization. Zbl 1021.00015
Biegler, Lorenz T. (ed.); Ghattas, Omar (ed.); Heinkenschloss, Matthias (ed.); van Bloemen Waanders, Bart (ed.)
23
2003
Large-scale PDE-constrained optimization: an introduction. Zbl 1094.49500
Biegler, Lorenz T.; Ghattas, Omar; Heinkenschloss, Matthias; van Bloemen Waanders, Bart
7
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
3
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
12
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
23
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
36
1997
A reduced SAND method for optimal design of nonlinear structures. Zbl 0895.73050
Orozco, Carlos E.; Ghattas, Omar N.
7
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.
4
1992
all top 5

Cited by 1,524 Authors

24 Ghattas, Omar N.
19 Marzouk, Youssef M.
17 Bui-Thanh, Tan
15 Willcox, Karen E.
14 Stadler, Georg
12 Alexanderian, Alen
12 Carlberg, Kevin T.
11 Demkowicz, Leszek F.
10 Kronbichler, Martin
9 Biros, George
9 Cui, Tiangang
9 Peherstorfer, Benjamin
8 Farhat, Charbel H.
8 Gibou, Frédéric
8 Gugercin, Serkan
8 Navon, Ionel Michael
8 Saibaba, Arvind Krishna
7 Barone, Matthew F.
7 Burstedde, Carsten
7 Chan, Jesse
7 Chen, Peng
7 Choo, Jinhyun
7 Heister, Timo
7 Heltai, Luca
7 Kallivokas, Loukas F.
7 Mang, Andreas
7 Manzoni, Andrea
7 Petra, Noemi
6 Aquino, Wilkins
6 Bangerth, Wolfgang
6 Borggaard, Jeff T.
6 Haber, Eldad
6 Isaac, Tobin
6 Kalashnikova, Irina
6 Lee, Sanghyun
6 Maier, Matthias Sebastian
6 Pelteret, Jean-Paul
6 Quarteroni, Alfio M.
6 Rüde, Ulrich
6 Ruthotto, Lars
6 San, Omer
6 Schwab, Christoph
6 Shen, Chunyu
6 Stolpe, Mathias
6 Turcksin, Bruno
6 Wheeler, Mary Fanett
6 Wohlmuth, Barbara I.
5 Arndt, Daniel
5 Bardsley, Johnathan M.
5 Bielak, Jacobo
5 Chung, Tsz Shun Eric
5 Davydov, Denis
5 Girolami, Mark A.
5 Hagstrom, Thomas M.
5 Jiang, Lijian
5 Kaipio, Jari P.
5 Keith, Brendan
5 Nguyen, Ngoc Cuong
5 Rozza, Gianluigi
5 Stuart, Andrew M.
5 van Bloemen Waanders, Bart G.
5 Wang, Zhu
4 Amsallem, David
4 Badia, Santiago
4 Benner, Peter
4 Bonnet, Marc
4 Bungartz, Hans-Joachim
4 Burazin, Krešimir
4 Cai, Xiao-Chuan
4 De los Reyes, Juan Carlos
4 Durlofsky, Louis J.
4 Erceg, Marko
4 Fang, Fangxin
4 Gao, Anna
4 Gholami, Amir
4 Givoli, Dan
4 Heinkenschloss, Matthias
4 Hintermüller, Michael
4 Iollo, Angelo
4 Keyes, David Elliot
4 Koumoutsakos, Petros D.
4 Kouri, Drew P.
4 Kunisch, Karl
4 Li, Jinglai
4 Martín, Alberto F.
4 Mazzieri, Ilario
4 Nair, Prasanth B.
4 Ou, Na
4 Seppänen, Aku
4 Sun, WaiChing
4 Surowiec, Thomas
4 Tian, Lixin
4 Villa, Umberto E.
4 Wells, David L.
4 Wilcox, Lucas C.
3 Aguado, Jose Vicente
3 Alger, Nick
3 Allison, P. A.
3 Angelikopoulos, Panagiotis
3 Antonić, Nenad
...and 1,424 more Authors
all top 5

Cited in 137 Serials

118 Journal of Computational Physics
94 SIAM Journal on Scientific Computing
92 Computer Methods in Applied Mechanics and Engineering
37 International Journal for Numerical Methods in Engineering
32 SIAM/ASA Journal on Uncertainty Quantification
25 Inverse Problems
22 Computers & Mathematics with Applications
21 Journal of Scientific Computing
16 Journal of Computational and Applied Mathematics
13 Computers and Fluids
13 Advances in Computational Mathematics
13 Computational Geosciences
10 International Journal for Numerical Methods in Fluids
10 Computational Mechanics
8 Applied Mathematics and Computation
8 Optimization and Engineering
8 Inverse Problems and Imaging
7 Computational Optimization and Applications
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 Archives of Computational Methods in Engineering
6 SIAM Journal on Imaging Sciences
5 Journal of Mathematical Analysis and Applications
5 Numerische Mathematik
5 Applied Numerical Mathematics
5 Journal of Mathematical Imaging and Vision
5 Journal of Numerical Mathematics
5 Statistics and Computing
4 Applied Mathematical Modelling
4 SIAM Journal on Optimization
4 Nonlinear Analysis. Real World Applications
4 Multiscale Modeling & Simulation
4 Structural and Multidisciplinary Optimization
4 Inverse Problems in Science and Engineering
3 Journal of Mathematical Physics
3 ACM Transactions on Mathematical Software
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 SIAM Journal on Numerical Analysis
3 Numerical Methods for Partial Differential Equations
3 SIAM Review
3 Mathematical Programming. Series A. Series B
3 Engineering Analysis with Boundary Elements
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Foundations of Computational Mathematics
2 Journal of Statistical Physics
2 Mathematical Methods in the Applied Sciences
2 Scandinavian Journal of Statistics
2 Wave Motion
2 Mathematics of Computation
2 Calcolo
2 SIAM Journal on Control and Optimization
2 Physica D
2 Journal of Global Optimization
2 International Journal of Computer Mathematics
2 SIAM Journal on Applied Mathematics
2 Computational and Applied Mathematics
2 Mathematical Problems in Engineering
2 Computing and Visualization in Science
2 International Journal of Computational Fluid Dynamics
2 Optimization Methods & Software
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Acta Numerica
2 The Annals of Applied Statistics
2 Advances in Mathematical Physics
2 Journal of Theoretical Biology
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 SMAI Journal of Computational Mathematics
1 Applicable Analysis
1 Discrete Applied Mathematics
1 International Journal of Heat and Mass Transfer
1 Journal of Mathematical Biology
1 Moscow University Mathematics Bulletin
1 Transport Theory and Statistical Physics
1 Automatica
1 BIT
1 Journal of the American Statistical Association
1 Journal of Differential Equations
1 Journal of Optimization Theory and Applications
1 Journal of Statistical Planning and Inference
1 Mathematics and Computers in Simulation
1 Mathematics of Operations Research
1 Numerical Functional Analysis and Optimization
1 Optimal Control Applications & Methods
1 Systems & Control Letters
1 Chinese Annals of Mathematics. Series B
1 Acta Applicandae Mathematicae
1 Bulletin of the Iranian Mathematical Society
1 Statistical Science
1 COMPEL
1 Mathematical and Computer Modelling
1 SIAM Journal on Matrix Analysis and Applications
1 Japan Journal of Industrial and Applied Mathematics
1 Computational Geometry
1 Computational Statistics
1 Computational Mathematics and Mathematical Physics
1 Communications in Statistics. Theory and Methods
1 European Journal of Operational Research
1 Proceedings of the National Academy of Sciences of the United States of America
1 SIAM Journal on Mathematical Analysis
1 Test
1 Physics of Fluids
...and 37 more Serials
all top 5

Cited in 36 Fields

542 Numerical analysis (65-XX)
210 Partial differential equations (35-XX)
204 Fluid mechanics (76-XX)
139 Mechanics of deformable solids (74-XX)
134 Statistics (62-XX)
113 Calculus of variations and optimal control; optimization (49-XX)
60 Geophysics (86-XX)
58 Operations research, mathematical programming (90-XX)
47 Probability theory and stochastic processes (60-XX)
40 Computer science (68-XX)
36 Systems theory; control (93-XX)
22 Biology and other natural sciences (92-XX)
21 Information and communication theory, circuits (94-XX)
18 Optics, electromagnetic theory (78-XX)
14 Dynamical systems and ergodic theory (37-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
12 Statistical mechanics, structure of matter (82-XX)
11 Operator theory (47-XX)
11 Classical thermodynamics, heat transfer (80-XX)
10 Approximations and expansions (41-XX)
8 Mechanics of particles and systems (70-XX)
7 Ordinary differential equations (34-XX)
7 Functional analysis (46-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Quantum theory (81-XX)
2 Integral equations (45-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Astronomy and astrophysics (85-XX)
1 General and overarching topics; collections (00-XX)
1 Combinatorics (05-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Differential geometry (53-XX)
1 Relativity and gravitational theory (83-XX)
1 Mathematics education (97-XX)

Citations by Year