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Tan Bui-Thanh
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2020 – today
- 2024
- [j31]Jau-Uei Chen, Shinhoo Kang
, Tan Bui-Thanh
A unified hp-HDG framework for Friedrichs' PDE systems. Comput. Math. Appl. 154: 236-266 (2024) - [j30]Hai Van Nguyen
TNet: A Model-Constrained Tikhonov Network Approach for Inverse Problems. SIAM J. Sci. Comput. 46(1): 77- (2024) - [i22]Hai Van Nguyen, Jau-Uei Chen, William Cole Nockolds, Wesley Lao, Tan Bui-Thanh:
A model-constrained Discontinuous Galerkin Network (DGNet) for Compressible Euler Equations with Out-of-Distribution Generalization. CoRR abs/2409.18371 (2024) - 2023
- [i21]Jonathan Wittmer, C. G. Krishnanunni, Hai Van Nguyen, Tan Bui-Thanh
On Unifying Randomized Methods For Inverse Problems. CoRR abs/2301.11156 (2023) - [i20]Jau-Uei Chen, Shinhoo Kang, Tan Bui-Thanh
Unified hp-HDG Frameworks for Friedrichs' PDE systems. CoRR abs/2304.03690 (2023) - [i19]Jonathan Wittmer, Jacob C. Badger, Hari Sundar, Tan Bui-Thanh
An autoencoder compression approach for accelerating large-scale inverse problems. CoRR abs/2304.04781 (2023) - [i18]Jau-Uei Chen, Tamás L. Horváth, Tan Bui-Thanh:
A Divergence-Free and H(div)-Conforming Embedded-Hybridized DG Method for the Incompressible Resistive MHD equations. CoRR abs/2310.06687 (2023) - 2022
- [j29]Jeonghun J. Lee
Forward and inverse modeling of fault transmissibility in subsurface flows. Comput. Math. Appl. 128: 354-367 (2022) - [j28]Hai Van Nguyen, Jonathan Wittmer, Tan Bui-Thanh
DIAS: A Data-Informed Active Subspace Regularization Framework for Inverse Problems. Comput. 10(3): 38 (2022) - [j27]Tan Bui-Thanh
Bridging and Improving Theoretical and Computational Electrical Impedance Tomography via Data Completion. SIAM J. Sci. Comput. 44(3): 668- (2022) - [i17]Ella Steins, Tan Bui-Thanh, Michael Herty, Siegfried Müller:
Probabilistic Constrained Bayesion Inversion for Transpiration Cooling. CoRR abs/2203.07122 (2022) - [i16]Hai Van Nguyen, Tan Bui-Thanh
A Model-Constrained Tangent Manifold Learning Approach for Dynamical Systems. CoRR abs/2208.04995 (2022) - [i15]C. G. Krishnanunni, Tan Bui-Thanh
Layerwise Sparsifying Training and Sequential Learning Strategy for Neural Architecture Adaptation. CoRR abs/2211.06860 (2022) - [i14]L. Leticia Ramírez-Ramírez, José A. Montoya
Use of mobile phone sensing data to estimate residence and mobility times in urban patches during the COVID-19 epidemic: The case of the 2020 outbreak in Hermosillo, Mexico. CoRR abs/2212.09963 (2022) - 2021
- [j26]Aaron Myers, Alexandre H. Thiéry
Sequential ensemble transform for Bayesian inverse problems. J. Comput. Phys. 427: 110055 (2021) - [c3]Wenbo Zhang
High-Speed Simulation of the 3D Behavior of Myocardium Using a Neural Network PDE Approach. FIMH 2021: 416-424 - [c2]Hwan Goh, Sheroze Sheriffdeen, Jonathan Wittmer, Tan Bui-Thanh:
Solving Bayesian Inverse Problems via Variational Autoencoders. MSML 2021: 386-425 - [i13]Tan Bui-Thanh, Qin Li, Leonardo Zepeda-Núñez:
Bridging and Improving Theoretical and Computational Electric Impedance Tomography via Data Completion. CoRR abs/2105.00554 (2021) - [i12]Hai Van Nguyen, Tan Bui-Thanh
Model-Constrained Deep Learning Approaches for Inverse Problems. CoRR abs/2105.12033 (2021) - [i11]Tan Bui-Thanh:
A Unified and Constructive Framework for the Universality of Neural Networks. CoRR abs/2112.14877 (2021) - 2020
- [j25]Shinhoo Kang
IMEX HDG-DG: A coupled implicit hybridized discontinuous Galerkin and explicit discontinuous Galerkin approach for shallow water systems. J. Comput. Phys. 401 (2020) - [j24]Sriramkrishnan Muralikrishnan
A multilevel approach for trace system in HDG discretizations. J. Comput. Phys. 407: 109240 (2020) - [j23]Ilona Ambartsumyan, Wajih Halim Boukaram, Tan Bui-Thanh
Hierarchical Matrix Approximations of Hessians Arising in Inverse Problems Governed by PDEs. SIAM J. Sci. Comput. 42(5): A3397-A3426 (2020) - [i10]Ilona Ambartsumyan, Wajih Bou Karam, Tan Bui-Thanh, Omar Ghattas, David E. Keyes
Hierarchical Matrix Approximations of Hessians Arising in Inverse Problems Governed by PDEs. CoRR abs/2003.10173 (2020) - [i9]Shinhoo Kang, Tan Bui-Thanh
A scalable exponential-DG approach for nonlinear conservation laws: with application to Burger and Euler equations. CoRR abs/2011.01316 (2020) - [i8]Sriramkrishnan Muralikrishnan, Stephen Shannon, Tan Bui-Thanh, John N. Shadid:
A Multilevel Block Preconditioner for the HDG Trace System Applied to Incompressible Resistive MHD. CoRR abs/2012.07648 (2020)
2010 – 2019
- 2019
- [j22]Jeonghun J. Lee
Analysis of an HDG Method for Linearized Incompressible Resistive MHD Equations. SIAM J. Numer. Anal. 57(4): 1697-1722 (2019) - [j21]Nick Alger, Vishwas Rao, Aaron Myers, Tan Bui-Thanh
Scalable Matrix-Free Adaptive Product-Convolution Approximation for Locally Translation-Invariant Operators. SIAM J. Sci. Comput. 41(4): A2296-A2328 (2019) - [j20]Tim Wildey
Unified Geometric Multigrid Algorithm for Hybridized High-Order Finite Element Methods. SIAM J. Sci. Comput. 41(5): S172-S195 (2019) - [i7]Sriramkrishnan Muralikrishnan, Tan Bui-Thanh, John N. Shadid:
A Multilevel Approach for Trace System in HDG Discretizations. CoRR abs/1903.11045 (2019) - [i6]Hwan Goh, Sheroze Sheriffdeen, Tan Bui-Thanh
Solving Forward and Inverse Problems Using Autoencoders. CoRR abs/1912.04212 (2019) - [i5]Sheroze Sheriffdeen, Jean C. Ragusa, Jim E. Morel, Marvin L. Adams, Tan Bui-Thanh
Accelerating PDE-constrained Inverse Solutions with Deep Learning and Reduced Order Models. CoRR abs/1912.08864 (2019) - 2018
- [j19]Sriramkrishnan Muralikrishnan
An improved iterative HDG approach for partial differential equations. J. Comput. Phys. 367: 295-321 (2018) - [j18]Kainan Wang, Tan Bui-Thanh
A Randomized Maximum A Posteriori Method for Posterior Sampling of High Dimensional Nonlinear Bayesian Inverse Problems. SIAM J. Sci. Comput. 40(1) (2018) - [i4]Shinhoo Kang, Tan Bui-Thanh, Todd Arbogast:
A Hybridized Discontinuous Galerkin Method for A Linear Degenerate Elliptic Equation Arising from Two-Phase Mixtures. CoRR abs/1808.07044 (2018) - 2017
- [j17]Nick Alger, Umberto Villa
A Data Scalable Augmented Lagrangian KKT Preconditioner for Large-Scale Inverse Problems. SIAM J. Sci. Comput. 39(5) (2017) - [j16]Sriramkrishnan Muralikrishnan
iHDG: An Iterative HDG Framework for Partial Differential Equations. SIAM J. Sci. Comput. 39(5) (2017) - [i3]Shinhoo Kang, Francis X. Giraldo, Tan Bui-Thanh:
IMEX HDG-DG: a coupled implicit hybridized discontinuous Galerkin (HDG) and explicit discontinuous Galerkin (DG) approach for shallow water systems. CoRR abs/1711.02751 (2017) - 2016
- [j15]Shiwei Lan
Emulation of higher-order tensors in manifold Monte Carlo methods for Bayesian Inverse Problems. J. Comput. Phys. 308: 81-101 (2016) - [j14]Paul G. Constantine
Accelerating Markov Chain Monte Carlo with Active Subspaces. SIAM J. Sci. Comput. 38(5) (2016) - [j13]Tan Bui-Thanh
Construction and Analysis of HDG Methods for Linearized Shallow Water Equations. SIAM J. Sci. Comput. 38(6) (2016) - [i2]Sriramkrishnan Muralikrishnan, Minh-Binh Tran, Tan Bui-Thanh:
eHDG: An Exponentially Convergent Iterative Solver for HDG Discretizations of Hyperbolic Partial Differential Equations. CoRR abs/1601.06681 (2016) - [i1]Ellen B. Le, Aaron Myers, Tan Bui-Thanh:
A Randomized Misfit Approach for Data Reduction in Large-Scale Inverse Problems. CoRR abs/1603.01562 (2016) - 2015
- [j12]Tan Bui-Thanh
From Godunov to a unified hybridized discontinuous Galerkin framework for partial differential equations. J. Comput. Phys. 295: 114-146 (2015) - [j11]Lucas C. Wilcox, Georg Stadler, Tan Bui-Thanh
Discretely Exact Derivatives for Hyperbolic PDE-Constrained Optimization Problems Discretized by the Discontinuous Galerkin Method. J. Sci. Comput. 63(1): 138-162 (2015) - 2014
- [j10]Jesse Chan
A robust DPG method for convection-dominated diffusion problems II: Adjoint boundary conditions and mesh-dependent test norms. Comput. Math. Appl. 67(4): 771-795 (2014) - [j9]Nathan V. Roberts
The DPG method for the Stokes problem. Comput. Math. Appl. 67(4): 966-995 (2014) - [j8]Tan Bui-Thanh
An Analysis of Infinite Dimensional Bayesian Inverse Shape Acoustic Scattering and Its Numerical Approximation. SIAM/ASA J. Uncertain. Quantification 2(1): 203-222 (2014) - 2013
- [j7]Tan Bui-Thanh, Leszek F. Demkowicz, Omar Ghattas:
Constructively well-posed approximation methods with unity inf-sup and continuity constants for partial differential equations. Math. Comput. 82(284): 1923-1952 (2013) - [j6]Tan Bui-Thanh
A Unified Discontinuous Petrov-Galerkin Method and Its Analysis for Friedrichs' Systems. SIAM J. Numer. Anal. 51(4): 1933-1958 (2013) - [j5]Tan Bui-Thanh
A Computational Framework for Infinite-Dimensional Bayesian Inverse Problems Part I: The Linearized Case, with Application to Global Seismic Inversion. SIAM J. Sci. Comput. 35(6) (2013) - 2012
- [j4]Tan Bui-Thanh
Analysis of an hp-Nonconforming Discontinuous Galerkin Spectral Element Method for Wave Propagation. SIAM J. Numer. Anal. 50(3): 1801-1826 (2012) - [j3]Tan Bui-Thanh
Adaptive Hessian-Based Nonstationary Gaussian Process Response Surface Method for Probability Density Approximation with Application to Bayesian Solution of Large-Scale Inverse Problems. SIAM J. Sci. Comput. 34(6) (2012) - [c1]Tan Bui-Thanh
Extreme-scale UQ for Bayesian inverse problems governed by PDEs. SC 2012: 3
2000 – 2009
- 2008
- [j2]Tan Bui-Thanh
Model Reduction for Large-Scale Systems with High-Dimensional Parametric Input Space. SIAM J. Sci. Comput. 30(6): 3270-3288 (2008) - 2007
- [j1]Tan Bui-Thanh
Goal-oriented, model-constrained optimization for reduction of large-scale systems. J. Comput. Phys. 224(2): 880-896 (2007)
Coauthor Index
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