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Author ID: bui-thanh.tan Recent zbMATH articles by "Bui-Thanh, Tan"
Published as: Bui-Thanh, Tan; Bui-Thanh, T.
External Links: ORCID
Documents Indexed: 38 Publications since 2007
Co-Authors: 39 Co-Authors with 35 Joint Publications
959 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

33 Publications have been cited 550 times in 409 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.
96
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
79
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.
57
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
50
2014
The DPG method for the Stokes problem. Zbl 1381.76200
Roberts, Nathan V.; Bui-Thanh, Tan; Demkowicz, Leszek
24
2014
Solving large-scale PDE-constrained Bayesian inverse problems with Riemann manifold Hamiltonian Monte Carlo. Zbl 1306.65269
Bui-Thanh, T.; Girolami, M.
24
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
An analysis of infinite dimensional Bayesian inverse shape acoustic scattering and its numerical approximation. Zbl 1306.65270
Bui-Thanh, Tan; Ghattas, Omar
21
2014
Analysis of the Hessian for inverse scattering problems. I: Inverse shape scattering of acoustic waves. Zbl 1239.78006
Bui-Thanh, Tan; Ghattas, Omar
20
2012
From Godunov to a unified hybridized discontinuous Galerkin framework for partial differential equations. Zbl 1349.76183
Bui-Thanh, Tan
15
2015
Analysis of the Hessian for inverse scattering problems. II: Inverse medium scattering of acoustic waves. Zbl 1239.78007
Bui-Thanh, Tan; Ghattas, Omar
13
2012
Analysis of an \(hp\)-nonconforming discontinuous Galerkin spectral element method for wave propagation. Zbl 1250.65120
Bui-Thanh, Tan; Ghattas, Omar
12
2012
Accelerating Markov chain Monte Carlo with active subspaces. Zbl 1348.65010
Constantine, Paul G.; Kent, Carson; Bui-Thanh, Tan
11
2016
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
10
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
10
2013
FEM-based discretization-invariant MCMC methods for PDE-constrained Bayesian inverse problems. Zbl 1348.65013
Bui-Thanh, Tan; Nguyen, Quoc P.
9
2016
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
8
2012
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
8
2015
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
8
2018
A scalable algorithm for MAP estimators in Bayesian inverse problems with Besov priors. Zbl 1347.49045
Bui-Thanh, Tan; Ghattas, Omar
7
2015
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
7
2014
Construction and analysis of HDG methods for linearized shallow water equations. Zbl 1457.65098
Bui-Thanh, Tan
6
2016
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
iHDG: an iterative HDG framework for partial differential equations. Zbl 1422.65405
Muralikrishnan, Sriramkrishnan; Tran, Minh-Binh; Bui-Thanh, Tan
6
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.
4
2017
Unified geometric multigrid algorithm for hybridized High-order finite element methods. Zbl 1425.65184
Wildey, Tim; Muralikrishnan, Sriramkrishnan; Bui-Thanh, Tan
4
2019
IMEX HDG-DG: a coupled implicit hybridized discontinuous Galerkin and explicit discontinuous Galerkin approach for shallow water systems. Zbl 1453.65328
Kang, Shinhoo; Giraldo, Francis X.; Bui-Thanh, Tan
3
2020
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
Analysis of an HDG method for linearized incompressible resistive MHD equations. Zbl 1422.76127
Lee, Jeonghun J.; Shannon, Stephen J.; Bui-Thanh, Tan; Shadid, John N.
2
2019
An improved iterative HDG approach for partial differential equations. Zbl 1415.65228
Muralikrishnan, Sriramkrishnan; Tran, Minh-Binh; Bui-Thanh, Tan
1
2018
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 1461.41001
Alger, Nick; Rao, Vishwas; Myers, Aaron; Bui-Thanh, Tan; Ghattas, Omar
1
2019
IMEX HDG-DG: a coupled implicit hybridized discontinuous Galerkin and explicit discontinuous Galerkin approach for shallow water systems. Zbl 1453.65328
Kang, Shinhoo; Giraldo, Francis X.; Bui-Thanh, Tan
3
2020
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
4
2019
Analysis of an HDG method for linearized incompressible resistive MHD equations. Zbl 1422.76127
Lee, Jeonghun J.; Shannon, Stephen J.; Bui-Thanh, Tan; Shadid, John N.
2
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
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
8
2018
An improved iterative HDG approach for partial differential equations. Zbl 1415.65228
Muralikrishnan, Sriramkrishnan; Tran, Minh-Binh; Bui-Thanh, Tan
1
2018
iHDG: an iterative HDG framework for partial differential equations. Zbl 1422.65405
Muralikrishnan, Sriramkrishnan; Tran, Minh-Binh; Bui-Thanh, Tan
6
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.
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
Accelerating Markov chain Monte Carlo with active subspaces. Zbl 1348.65010
Constantine, Paul G.; Kent, Carson; Bui-Thanh, Tan
11
2016
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
10
2016
FEM-based discretization-invariant MCMC methods for PDE-constrained Bayesian inverse problems. Zbl 1348.65013
Bui-Thanh, Tan; Nguyen, Quoc P.
9
2016
Construction and analysis of HDG methods for linearized shallow water equations. Zbl 1457.65098
Bui-Thanh, Tan
6
2016
From Godunov to a unified hybridized discontinuous Galerkin framework for partial differential equations. Zbl 1349.76183
Bui-Thanh, Tan
15
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
8
2015
A scalable algorithm for MAP estimators in Bayesian inverse problems with Besov priors. Zbl 1347.49045
Bui-Thanh, Tan; Ghattas, Omar
7
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
50
2014
The DPG method for the Stokes problem. Zbl 1381.76200
Roberts, Nathan V.; Bui-Thanh, Tan; Demkowicz, Leszek
24
2014
Solving large-scale PDE-constrained Bayesian inverse problems with Riemann manifold Hamiltonian Monte Carlo. Zbl 1306.65269
Bui-Thanh, T.; Girolami, M.
24
2014
An analysis of infinite dimensional Bayesian inverse shape acoustic scattering and its numerical approximation. Zbl 1306.65270
Bui-Thanh, Tan; Ghattas, Omar
21
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
7
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
79
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
10
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
20
2012
Analysis of the Hessian for inverse scattering problems. II: Inverse medium scattering of acoustic waves. Zbl 1239.78007
Bui-Thanh, Tan; Ghattas, Omar
13
2012
Analysis of an \(hp\)-nonconforming discontinuous Galerkin spectral element method for wave propagation. Zbl 1250.65120
Bui-Thanh, Tan; Ghattas, Omar
12
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
8
2012
Model reduction for large-scale systems with high-dimensional parametric input space. Zbl 1196.37127
Bui-Thanh, T.; Willcox, K.; Ghattas, O.
96
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.
57
2007
all top 5

Cited by 729 Authors

23 Bui-Thanh, Tan
21 Demkowicz, Leszek F.
21 Ghattas, Omar N.
13 Heuer, Norbert
12 Marzouk, Youssef M.
10 Carlberg, Kevin T.
10 Chen, Peng
10 Willcox, Karen E.
9 Alexanderian, Alen
9 Cui, Tiangang
9 Führer, Thomas
9 Stadler, Georg
8 Petra, Noemi
7 Barone, Matthew F.
7 Navon, Ionel Michael
7 Saibaba, Arvind Krishna
7 Villa, Umberto E.
6 Girolami, Mark A.
6 Gugercin, Serkan
6 Kalashnikova, Irina
6 Karkulik, Michael
6 Keith, Brendan
6 San, Omer
5 Borggaard, Jeff T.
5 Chan, Jesse
5 Fang, Fangxin
5 Farhat, Charbel H.
5 Nguyen, Ngoc Cuong
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 Fung, Samy Wu
4 Kang, Shinhoo
4 Li, Jinglai
4 Muga, Ignacio
4 Pardo, David
4 Rozza, Gianluigi
4 Stuart, Andrew M.
4 Tenorio, Luis
4 Tong, Xin Thomson
3 Aguado, Jose Vicente
3 Alger, Nick
3 Allison, P. A.
3 Antonić, Nenad
3 Bacuta, Constantin
3 Bardsley, Johnathan M.
3 Bordas, Stéphane Pierre Alain
3 Calo, Victor Manuel
3 Capistrán, Marcos A.
3 Chinesta, Francisco
3 Chung, Julianne M.
3 Cueto, Elias
3 de Sturler, Eric
3 Deng, Zhiliang
3 Fairbanks, Hillary R.
3 Fuentes, Federico
3 Gassner, Gregor J.
3 Goddard, A. J. H.
3 Gorman, Gerard J.
3 Hesthaven, Jan S.
3 Iollo, Angelo
3 Jacavage, Jacob
3 Jia, Junxiong
3 Kerfriden, Pierre
3 Kilmer, Misha E.
3 Lan, Shiwei
3 Lie, Han Cheng
3 Manzoni, Andrea
3 Maulik, Romit
3 Morzfeld, Matthias
3 Muñoz-Matute, Judit
3 Muralikrishnan, Sriramkrishnan
3 Nair, Prasanth B.
3 Nicholson, Ruanui
3 Pain, Christopher C.
3 Parish, Eric J.
3 Piggott, Matthew D.
3 Schönlieb, Carola-Bibiane
3 Shadid, John N.
3 Teckentrup, Aretha L.
3 Valkonen, Tuomo
3 van Bloemen Waanders, Bart G.
3 Vassilevski, Panayot Spirov
3 Wang, Zhu
3 Wohlmuth, Barbara I.
2 Abisset-Chavanne, Emmanuelle
2 Agapiou, Sergios
2 Ahmed, Mansoor
2 Anitescu, Mihai
2 Arunajatesan, Srinivasan
2 Audouze, Christophe
2 Baiges, Joan
2 Beattie, Christopher A.
2 Bell, John B.
2 Bergmann, Michel
...and 629 more Authors
all top 5

Cited in 80 Serials

51 Computer Methods in Applied Mechanics and Engineering
51 Journal of Computational Physics
46 SIAM Journal on Scientific Computing
29 Computers & Mathematics with Applications
23 SIAM/ASA Journal on Uncertainty Quantification
18 Inverse Problems
18 International Journal for Numerical Methods in Engineering
12 Journal of Scientific Computing
11 Advances in Computational Mathematics
7 International Journal for Numerical Methods in Fluids
7 Journal of Computational and Applied Mathematics
7 Computational Methods in Applied Mathematics
7 Inverse Problems and Imaging
6 SIAM Journal on Numerical Analysis
5 Mathematics of Computation
5 Computational Mechanics
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Computational Geosciences
4 Archives of Computational Methods in Engineering
3 Journal of Mathematical Analysis and Applications
3 Numerical Methods for Partial Differential Equations
3 Applied Mathematical Modelling
3 Journal of Mathematical Imaging and Vision
3 Optimization and Engineering
3 Inverse Problems in Science and Engineering
3 SIAM Journal on Imaging Sciences
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Computers and Fluids
2 Numerische Mathematik
2 Statistical Science
2 Computational Optimization and Applications
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Acta Numerica
2 Communications in Computational Physics
2 Statistics and Computing
2 Results in Applied Mathematics
1 Applicable Analysis
1 Journal of Fluid Mechanics
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 Applied Numerical Mathematics
1 Computational Statistics
1 International Journal of Computer Mathematics
1 SIAM Review
1 Computational and Applied Mathematics
1 Mathematical Problems in Engineering
1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
1 Vietnam Journal of Mathematics
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 Foundations of Computational Mathematics
1 Communications on Pure and Applied Analysis
1 Computational Methods and Function Theory
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 GEM - International Journal on Geomathematics
1 Journal of Mathematics in Industry
1 Journal of Theoretical Biology
1 Foundations of Data Science
1 SIAM Journal on Mathematics of Data Science
1 Fixed Point Theory and Algorithms for Sciences and Engineering

Citations by Year