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Bui-Thanh, Tan

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Author ID: bui-thanh.tan Recent zbMATH articles by "Bui-Thanh, Tan"
Published as: Bui-Thanh, T.; Bui-Thanh, Tan
External Links: ORCID
Documents Indexed: 34 Publications since 2007

Publications by Year

Citations contained in zbMATH

30 Publications have been cited 437 times in 326 Documents Cited by Year
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 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
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
A robust DPG method for convection-dominated diffusion problems. II: Adjoint boundary conditions and mesh-dependent test norms. Zbl 1350.65120
Chan, Jesse; Heuer, Norbert; Bui-Thanh, Tan; Demkowicz, Leszek
39
2014
The DPG method for the Stokes problem. Zbl 1381.76200
Roberts, Nathan V.; Bui-Thanh, Tan; Demkowicz, Leszek
22
2014
A unified discontinuous Petrov-Galerkin method and its analysis for Friedrichs systems. Zbl 1278.65173
Bui-Thanh, Tan; Demkowicz, Leszek; Ghattas, Omar
22
2013
Solving large-scale PDE-constrained Bayesian inverse problems with Riemann manifold Hamiltonian Monte Carlo. Zbl 1306.65269
Bui-Thanh, T.; Girolami, M.
16
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
From Godunov to a unified hybridized discontinuous Galerkin framework for partial differential equations. Zbl 1349.76183
Bui-Thanh, Tan
14
2015
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
Emulation of higher-order tensors in manifold Monte Carlo methods for Bayesian inverse problems. Zbl 1352.65010
Lan, Shiwei; Bui-Thanh, Tan; Christie, Mike; Girolami, Mark
7
2016
Accelerating Markov chain Monte Carlo with active subspaces. Zbl 1348.65010
Constantine, Paul G.; Kent, Carson; Bui-Thanh, Tan
7
2016
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
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
FEM-based discretization-invariant MCMC methods for PDE-constrained Bayesian inverse problems. Zbl 1348.65013
Bui-Thanh, Tan; Nguyen, Quoc P.
6
2016
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
Construction and analysis of HDG methods for linearized shallow water equations. Zbl 06670152
Bui-Thanh, Tan
5
2016
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
iHDG: an iterative HDG framework for partial differential equations. Zbl 1422.65405
Muralikrishnan, Sriramkrishnan; Tran, Minh-Binh; Bui-Thanh, Tan
4
2017
A scalable algorithm for MAP estimators in Bayesian inverse problems with Besov priors. Zbl 1347.49045
Bui-Thanh, Tan; Ghattas, Omar
4
2015
From Rankine-Hugoniot condition to a constructive derivation of HDG methods. Zbl 1352.65333
Bui-Thanh, Tan
3
2015
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 data-scalable randomized misfit approach for solving large-scale PDE-constrained inverse problems. Zbl 1417.65136
Le, E. B.; Myers, A.; Bui-Thanh, T.; Nguyen, Q. P.
2
2017
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
Unified geometric multigrid algorithm for hybridized High-order finite element methods. Zbl 1425.65184
Wildey, Tim; Muralikrishnan, Sriramkrishnan; Bui-Thanh, Tan
1
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
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
Unified geometric multigrid algorithm for hybridized High-order finite element methods. Zbl 1425.65184
Wildey, Tim; Muralikrishnan, Sriramkrishnan; Bui-Thanh, Tan
1
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
iHDG: an iterative HDG framework for partial differential equations. Zbl 1422.65405
Muralikrishnan, Sriramkrishnan; Tran, Minh-Binh; Bui-Thanh, Tan
4
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 data-scalable randomized misfit approach for solving large-scale PDE-constrained inverse problems. Zbl 1417.65136
Le, E. B.; Myers, A.; Bui-Thanh, T.; Nguyen, Q. P.
2
2017
Emulation of higher-order tensors in manifold Monte Carlo methods for Bayesian inverse problems. Zbl 1352.65010
Lan, Shiwei; Bui-Thanh, Tan; Christie, Mike; Girolami, Mark
7
2016
Accelerating Markov chain Monte Carlo with active subspaces. Zbl 1348.65010
Constantine, Paul G.; Kent, Carson; Bui-Thanh, Tan
7
2016
FEM-based discretization-invariant MCMC methods for PDE-constrained Bayesian inverse problems. Zbl 1348.65013
Bui-Thanh, Tan; Nguyen, Quoc P.
6
2016
Construction and analysis of HDG methods for linearized shallow water equations. Zbl 06670152
Bui-Thanh, Tan
5
2016
From Godunov to a unified hybridized discontinuous Galerkin framework for partial differential equations. Zbl 1349.76183
Bui-Thanh, Tan
14
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
From Rankine-Hugoniot condition to a constructive derivation of HDG methods. Zbl 1352.65333
Bui-Thanh, Tan
3
2015
A robust DPG method for convection-dominated diffusion problems. II: Adjoint boundary conditions and mesh-dependent test norms. Zbl 1350.65120
Chan, Jesse; Heuer, Norbert; Bui-Thanh, Tan; Demkowicz, Leszek
39
2014
The DPG method for the Stokes problem. Zbl 1381.76200
Roberts, Nathan V.; Bui-Thanh, Tan; Demkowicz, Leszek
22
2014
Solving large-scale PDE-constrained Bayesian inverse problems with Riemann manifold Hamiltonian Monte Carlo. Zbl 1306.65269
Bui-Thanh, T.; Girolami, M.
16
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
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
Model reduction for large-scale systems with high-dimensional parametric input space. Zbl 1196.37127
Bui-Thanh, T.; Willcox, K.; Ghattas, O.
83
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
all top 5

Cited by 608 Authors

21 Bui-Thanh, Tan
17 Demkowicz, Leszek F.
15 Ghattas, Omar N.
12 Marzouk, Youssef M.
11 Heuer, Norbert
10 Willcox, Karen E.
9 Alexanderian, Alen
9 Stadler, Georg
8 Carlberg, Kevin T.
8 Cui, Tiangang
7 Barone, Matthew F.
7 Führer, Thomas
7 Petra, Noemi
6 Chan, Jesse
6 Kalashnikova, Irina
6 Karkulik, Michael
6 Navon, Ionel Michael
6 Saibaba, Arvind Krishna
6 San, Omer
5 Borggaard, Jeff T.
5 Chen, Peng
5 Farhat, Charbel H.
5 Girolami, Mark A.
5 Gugercin, Serkan
5 Keith, Brendan
5 Peherstorfer, Benjamin
5 Roberts, Nathan V.
5 Schwab, Christoph
4 Amsallem, David
4 Benner, Peter
4 Burazin, Krešimir
4 Durlofsky, Louis J.
4 Erceg, Marko
4 Fang, Fangxin
4 Gopalakrishnan, Jay
4 Nguyen, Ngoc Cuong
4 Stuart, Andrew M.
4 Villa, Umberto E.
3 Aguado, Jose Vicente
3 Alger, Nick
3 Allison, P. A.
3 Antonić, Nenad
3 Bardsley, Johnathan M.
3 Bordas, Stéphane Pierre Alain
3 Chinesta, Francisco
3 Cueto, Elias
3 Fuentes, Federico
3 Goddard, Anthony J. H.
3 González, Domingo Iván Rodríguez
3 Gorman, Gerard J.
3 Iollo, Angelo
3 Kerfriden, Pierre
3 Lan, Shiwei
3 Li, Jinglai
3 Manzoni, Andrea
3 Maulik, Romit
3 Morzfeld, Matthias
3 Muga, Ignacio
3 Muralikrishnan, Sriramkrishnan
3 Nair, Prasanth B.
3 Pain, Christopher C.
3 Piggott, Matthew D.
3 Qiu, Weifeng
3 Rozza, Gianluigi
3 Schönlieb, Carola-Bibiane
3 Tenorio, Luis
3 Tong, Xin Thomson
3 Valkonen, Tuomo
3 van Bloemen Waanders, Bart G.
3 Wang, Zhu
3 Wildey, Tim M.
3 Wohlmuth, Barbara I.
2 Abisset-Chavanne, Emmanuelle
2 Agapiou, Sergios
2 Ahmed, Mansoor
2 Arunajatesan, Srinivasan
2 Audouze, Christophe
2 Baiges, Joan
2 Bell, John B.
2 Bergmann, Michel
2 Beskos, Alexandros
2 Brown, D. Andrew
2 Burger, Martin
2 Calo, Victor Manuel
2 Cardoso, M. A.
2 Carstensen, Carsten
2 Chaturantabut, Saifon
2 Chen, Huangxin
2 Chen, Xiao
2 Christie, Mike
2 Chung, Julianne M.
2 Codina, Ramon
2 De los Reyes, Juan Carlos
2 de Sturler, Eric
2 De Vuyst, Florian
2 Desmet, Wim
2 Ellis, Truman E.
2 Farrell, Patrick E.
2 Feng, Lihong
2 Fidkowski, Krzysztof J.
...and 508 more Authors
all top 5

Cited in 67 Serials

42 Journal of Computational Physics
35 Computer Methods in Applied Mechanics and Engineering
35 SIAM Journal on Scientific Computing
21 Computers & Mathematics with Applications
21 SIAM/ASA Journal on Uncertainty Quantification
18 International Journal for Numerical Methods in Engineering
15 Inverse Problems
11 Journal of Scientific Computing
9 Advances in Computational Mathematics
7 International Journal for Numerical Methods in Fluids
6 Journal of Computational and Applied Mathematics
6 SIAM Journal on Numerical Analysis
6 Computational Methods in Applied Mathematics
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 Inverse Problems and Imaging
4 Mathematics of Computation
4 Computational Mechanics
4 Archives of Computational Methods in Engineering
3 Computers and Fluids
3 Journal of Mathematical Analysis and Applications
3 Numerical Methods for Partial Differential Equations
3 Journal of Mathematical Imaging and Vision
3 Computational Geosciences
3 SIAM Journal on Imaging Sciences
2 Numerische Mathematik
2 Statistical Science
2 Applied Mathematical Modelling
2 Acta Numerica
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Results in Applied Mathematics
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Mathematical Methods in the Applied Sciences
1 Transport Theory and Statistical Physics
1 Wave Motion
1 Applied Mathematics and Computation
1 Calcolo
1 Journal of the American Statistical Association
1 Journal of Differential Equations
1 Journal of Statistical Planning and Inference
1 Numerical Functional Analysis and Optimization
1 Systems & Control Letters
1 Chinese Annals of Mathematics. Series B
1 Physica D
1 Computational Statistics
1 International Journal of Computer Mathematics
1 SIAM Review
1 Computational Optimization and Applications
1 Computational and Applied Mathematics
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Mathematical Problems in Engineering
1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
1 Soft Computing
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Mathematical and Computer Modelling of Dynamical Systems
1 Communications in Nonlinear Science and Numerical Simulation
1 Methodology and Computing in Applied Probability
1 Optimization and Engineering
1 Foundations of Computational Mathematics
1 Communications on Pure and Applied Analysis
1 Milan Journal of Mathematics
1 International Journal of Computational Methods
1 Mediterranean Journal of Mathematics
1 Complex Analysis and Operator Theory
1 Electronic Journal of Statistics
1 The Annals of Applied Statistics
1 Journal of Theoretical Biology

Citations by Year