Tan Bui-Thanh

Publication Activity (10 Years)

Years Active: 2007-2024
Publications (10 Years): 42

Top Topics

Partial Differential Equations

Neural Architecture

Infinite Dimensional

Top Venues

SIAM J. Sci. Comput.

J. Comput. Phys.

Comput. Math. Appl.

Publications

Hai Van Nguyen, Tan Bui-Thanh
: A Model-Constrained Tikhonov Network Approach for Inverse Problems. SIAM J. Sci. Comput. 46 (1) (2024)
Jau-Uei Chen, Shinhoo Kang, Tan Bui-Thanh, John N. Shadid
A unified hp-HDG framework for Friedrichs' PDE systems. Comput. Math. Appl. 154 (2024)
Jonathan Wittmer, Jacob Badger, Hari Sundar, Tan Bui-Thanh
An autoencoder compression approach for accelerating large-scale inverse problems. CoRR (2023)
Jonathan Wittmer, C. G. Krishnanunni, Hai Van Nguyen, Tan Bui-Thanh
On Unifying Randomized Methods For Inverse Problems. CoRR (2023)
Jau-Uei Chen, Shinhoo Kang, Tan Bui-Thanh, John N. Shadid
Unified hp-HDG Frameworks for Friedrichs' PDE systems. CoRR (2023)
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 (2023)
Hai Van Nguyen, Tan Bui-Thanh
A Model-Constrained Tangent Manifold Learning Approach for Dynamical Systems. CoRR (2022)
C. G. Krishnanunni, Tan Bui-Thanh
Layerwise Sparsifying Training and Sequential Learning Strategy for Neural Architecture Adaptation. CoRR (2022)
Ella Steins, Tan Bui-Thanh, Michael Herty, Siegfried Müller
Probabilistic Constrained Bayesion Inversion for Transpiration Cooling. CoRR (2022)
Jeonghun J. Lee, Tan Bui-Thanh, Umberto Villa, Omar Ghattas
Forward and inverse modeling of fault transmissibility in subsurface flows. Comput. Math. Appl. 128 (2022)
L. Leticia Ramírez-Ramírez, José A. Montoya, Jesús F. Espinoza, Chahak Mehta, Albert Orwa Akuno, Tan Bui-Thanh
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 (2022)
Hai Van Nguyen, Jonathan Wittmer, Tan Bui-Thanh
DIAS: A Data-Informed Active Subspace Regularization Framework for Inverse Problems. Comput. 10 (3) (2022)
Tan Bui-Thanh, Qin Li, Leonardo Zepeda-Núñez
Bridging and Improving Theoretical and Computational Electrical Impedance Tomography via Data Completion. SIAM J. Sci. Comput. 44 (3) (2022)
Hai V. Nguyen, Tan Bui-Thanh
Model-Constrained Deep Learning Approaches for Inverse Problems. CoRR (2021)
Tan Bui-Thanh
A Unified and Constructive Framework for the Universality of Neural Networks. CoRR (2021)
Aaron Myers, Alexandre H. Thiéry, Kainan Wang, Tan Bui-Thanh
Sequential ensemble transform for Bayesian inverse problems. J. Comput. Phys. 427 (2021)
Wenbo Zhang, David S. Li, Tan Bui-Thanh, Michael S. Sacks
High-Speed Simulation of the 3D Behavior of Myocardium Using a Neural Network PDE Approach. FIMH (2021)
Hwan Goh, Sheroze Sheriffdeen, Jonathan Wittmer, Tan Bui-Thanh
Solving Bayesian Inverse Problems via Variational Autoencoders. MSML (2021)
Tan Bui-Thanh, Qin Li, Leonardo Zepeda-Núñez
Bridging and Improving Theoretical and Computational Electric Impedance Tomography via Data Completion. CoRR (2021)
Sriramkrishnan Muralikrishnan, Tan Bui-Thanh, John N. Shadid
A multilevel approach for trace system in HDG discretizations. J. Comput. Phys. 407 (2020)
Shinhoo Kang, Tan Bui-Thanh
A scalable exponential-DG approach for nonlinear conservation laws: with application to Burger and Euler equations. CoRR (2020)
Shinhoo Kang, Francis X. Giraldo, Tan Bui-Thanh
IMEX HDG-DG: A coupled implicit hybridized discontinuous Galerkin and explicit discontinuous Galerkin approach for shallow water systems. J. Comput. Phys. 401 (2020)
Ilona Ambartsumyan, Wajih Halim Boukaram, Tan Bui-Thanh, Omar Ghattas, David E. Keyes, Georg Stadler, George Turkiyyah, Stefano Zampini
Hierarchical Matrix Approximations of Hessians Arising in Inverse Problems Governed by PDEs. SIAM J. Sci. Comput. 42 (5) (2020)
Ilona Ambartsumyan, Wajih Bou Karam, Tan Bui-Thanh, Omar Ghattas, David E. Keyes, Georg Stadler, George Turkiyyah, Stefano Zampini
Hierarchical Matrix Approximations of Hessians Arising in Inverse Problems Governed by PDEs. CoRR (2020)
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 (2020)
Tim Wildey, Sriramkrishnan Muralikrishnan, Tan Bui-Thanh
Unified Geometric Multigrid Algorithm for Hybridized High-Order Finite Element Methods. SIAM J. Sci. Comput. 41 (5) (2019)
Sriramkrishnan Muralikrishnan, Tan Bui-Thanh, John N. Shadid
A Multilevel Approach for Trace System in HDG Discretizations. CoRR (2019)
Jeonghun J. Lee, Stephen Shannon, Tan Bui-Thanh, John N. Shadid
Analysis of an HDG Method for Linearized Incompressible Resistive MHD Equations. SIAM J. Numer. Anal. 57 (4) (2019)
Hwan Goh, Sheroze Sheriffdeen, Tan Bui-Thanh
Solving Forward and Inverse Problems Using Autoencoders. CoRR (2019)
Nick Alger, Vishwas Rao, Aaron Myers, Tan Bui-Thanh, Omar Ghattas
Scalable Matrix-Free Adaptive Product-Convolution Approximation for Locally Translation-Invariant Operators. SIAM J. Sci. Comput. 41 (4) (2019)
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 (2019)
Sriramkrishnan Muralikrishnan, Minh-Binh Tran, Tan Bui-Thanh
An improved iterative HDG approach for partial differential equations. J. Comput. Phys. 367 (2018)
Kainan Wang, Tan Bui-Thanh, Omar Ghattas
A Randomized Maximum A Posteriori Method for Posterior Sampling of High Dimensional Nonlinear Bayesian Inverse Problems. SIAM J. Sci. Comput. 40 (1) (2018)
Shinhoo Kang, Tan Bui-Thanh, Todd Arbogast
A Hybridized Discontinuous Galerkin Method for A Linear Degenerate Elliptic Equation Arising from Two-Phase Mixtures. CoRR (2018)
Sriramkrishnan Muralikrishnan, Minh-Binh Tran, Tan Bui-Thanh
iHDG: An Iterative HDG Framework for Partial Differential Equations. SIAM J. Sci. Comput. 39 (5) (2017)
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 (2017)
Nick Alger, Umberto Villa, Tan Bui-Thanh, Omar Ghattas
A Data Scalable Augmented Lagrangian KKT Preconditioner for Large-Scale Inverse Problems. SIAM J. Sci. Comput. 39 (5) (2017)
Ellen B. Le, Aaron Myers, Tan Bui-Thanh
A Randomized Misfit Approach for Data Reduction in Large-Scale Inverse Problems. CoRR (2016)
Paul G. Constantine, Carson Kent, Tan Bui-Thanh
Accelerating Markov Chain Monte Carlo with Active Subspaces. SIAM J. Sci. Comput. 38 (5) (2016)
Shiwei Lan, Tan Bui-Thanh, Mike Christie, Mark A. Girolami
Emulation of higher-order tensors in manifold Monte Carlo methods for Bayesian Inverse Problems. J. Comput. Phys. 308 (2016)
Sriramkrishnan Muralikrishnan, Minh-Binh Tran, Tan Bui-Thanh
eHDG: An Exponentially Convergent Iterative Solver for HDG Discretizations of Hyperbolic Partial Differential Equations. CoRR (2016)
Tan Bui-Thanh
Construction and Analysis of HDG Methods for Linearized Shallow Water Equations. SIAM J. Sci. Comput. 38 (6) (2016)
Tan Bui-Thanh
From Godunov to a unified hybridized discontinuous Galerkin framework for partial differential equations. J. Comput. Phys. 295 (2015)
Lucas C. Wilcox, Georg Stadler, Tan Bui-Thanh, Omar Ghattas
Discretely Exact Derivatives for Hyperbolic PDE-Constrained Optimization Problems Discretized by the Discontinuous Galerkin Method. J. Sci. Comput. 63 (1) (2015)
Jesse Chan, Norbert Heuer, Tan Bui-Thanh, Leszek F. Demkowicz
A robust DPG method for convection-dominated diffusion problems II: Adjoint boundary conditions and mesh-dependent test norms. Comput. Math. Appl. 67 (4) (2014)
Tan Bui-Thanh, Omar Ghattas
An Analysis of Infinite Dimensional Bayesian Inverse Shape Acoustic Scattering and Its Numerical Approximation. SIAM/ASA J. Uncertain. Quantification 2 (1) (2014)
Nathan V. Roberts, Tan Bui-Thanh, Leszek F. Demkowicz
The DPG method for the Stokes problem. Comput. Math. Appl. 67 (4) (2014)
Tan Bui-Thanh, Leszek F. Demkowicz, Omar Ghattas
A Unified Discontinuous Petrov-Galerkin Method and Its Analysis for Friedrichs' Systems. SIAM J. Numer. Anal. 51 (4) (2013)
Tan Bui-Thanh, Omar Ghattas, James Martin, Georg Stadler
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)
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) (2013)
Tan Bui-Thanh, Carsten Burstedde, Omar Ghattas, James Martin, Georg Stadler, Lucas C. Wilcox
Extreme-scale UQ for Bayesian inverse problems governed by PDEs. SC (2012)
Tan Bui-Thanh, Omar Ghattas
Analysis of an hp-Nonconforming Discontinuous Galerkin Spectral Element Method for Wave Propagation. SIAM J. Numer. Anal. 50 (3) (2012)
Tan Bui-Thanh, Omar Ghattas, David Higdon
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)
Tan Bui-Thanh, Karen Willcox, Omar Ghattas
Model Reduction for Large-Scale Systems with High-Dimensional Parametric Input Space. SIAM J. Sci. Comput. 30 (6) (2008)
Tan Bui-Thanh, Karen Willcox, Omar Ghattas, Bart G. van Bloemen Waanders
Goal-oriented, model-constrained optimization for reduction of large-scale systems. J. Comput. Phys. 224 (2) (2007)