Tan Bui-Thanh

Orcid: 0000-0003-3002-6474

According to our database1, Tan Bui-Thanh authored at least 55 papers between 2007 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
<tt>TNet</tt>: A Model-Constrained Tikhonov Network Approach for Inverse Problems.
SIAM J. Sci. Comput., February, 2024

A unified hp-HDG framework for Friedrichs' PDE systems.
Comput. Math. Appl., January, 2024

A model-constrained Discontinuous Galerkin Network (DGNet) for Compressible Euler Equations with Out-of-Distribution Generalization.
CoRR, 2024

2023
A Divergence-Free and H(div)-Conforming Embedded-Hybridized DG Method for the Incompressible Resistive MHD equations.
CoRR, 2023

An autoencoder compression approach for accelerating large-scale inverse problems.
CoRR, 2023

Unified hp-HDG Frameworks for Friedrichs' PDE systems.
CoRR, 2023

On Unifying Randomized Methods For Inverse Problems.
CoRR, 2023

2022
Bridging and Improving Theoretical and Computational Electrical Impedance Tomography via Data Completion.
SIAM J. Sci. Comput., 2022

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

Layerwise Sparsifying Training and Sequential Learning Strategy for Neural Architecture Adaptation.
CoRR, 2022

A Model-Constrained Tangent Manifold Learning Approach for Dynamical Systems.
CoRR, 2022

Probabilistic Constrained Bayesion Inversion for Transpiration Cooling.
CoRR, 2022

DIAS: A Data-Informed Active Subspace Regularization Framework for Inverse Problems.
Comput., 2022

Forward and inverse modeling of fault transmissibility in subsurface flows.
Comput. Math. Appl., 2022

2021
Sequential ensemble transform for Bayesian inverse problems.
J. Comput. Phys., 2021

A Unified and Constructive Framework for the Universality of Neural Networks.
CoRR, 2021

Model-Constrained Deep Learning Approaches for Inverse Problems.
CoRR, 2021

Bridging and Improving Theoretical and Computational Electric Impedance Tomography via Data Completion.
CoRR, 2021

Solving Bayesian Inverse Problems via Variational Autoencoders.
Proceedings of the Mathematical and Scientific Machine Learning, 2021

High-Speed Simulation of the 3D Behavior of Myocardium Using a Neural Network PDE Approach.
Proceedings of the Functional Imaging and Modeling of the Heart, 2021

2020
Hierarchical Matrix Approximations of Hessians Arising in Inverse Problems Governed by PDEs.
SIAM J. Sci. Comput., 2020

A multilevel approach for trace system in HDG discretizations.
J. Comput. Phys., 2020

IMEX HDG-DG: A coupled implicit hybridized discontinuous Galerkin and explicit discontinuous Galerkin approach for shallow water systems.
J. Comput. Phys., 2020

A Multilevel Block Preconditioner for the HDG Trace System Applied to Incompressible Resistive MHD.
CoRR, 2020

A scalable exponential-DG approach for nonlinear conservation laws: with application to Burger and Euler equations.
CoRR, 2020

Hierarchical Matrix Approximations of Hessians Arising in Inverse Problems Governed by PDEs.
CoRR, 2020

2019
Unified Geometric Multigrid Algorithm for Hybridized High-Order Finite Element Methods.
SIAM J. Sci. Comput., 2019

Scalable Matrix-Free Adaptive Product-Convolution Approximation for Locally Translation-Invariant Operators.
SIAM J. Sci. Comput., 2019

Analysis of an HDG Method for Linearized Incompressible Resistive MHD Equations.
SIAM J. Numer. Anal., 2019

Accelerating PDE-constrained Inverse Solutions with Deep Learning and Reduced Order Models.
CoRR, 2019

Solving Forward and Inverse Problems Using Autoencoders.
CoRR, 2019

2018
A Randomized Maximum A Posteriori Method for Posterior Sampling of High Dimensional Nonlinear Bayesian Inverse Problems.
SIAM J. Sci. Comput., 2018

An improved iterative HDG approach for partial differential equations.
J. Comput. Phys., 2018

A Hybridized Discontinuous Galerkin Method for A Linear Degenerate Elliptic Equation Arising from Two-Phase Mixtures.
CoRR, 2018

2017
iHDG: An Iterative HDG Framework for Partial Differential Equations.
SIAM J. Sci. Comput., 2017

A Data Scalable Augmented Lagrangian KKT Preconditioner for Large-Scale Inverse Problems.
SIAM J. Sci. Comput., 2017

IMEX HDG-DG: a coupled implicit hybridized discontinuous Galerkin (HDG) and explicit discontinuous Galerkin (DG) approach for shallow water systems.
CoRR, 2017

2016
Accelerating Markov Chain Monte Carlo with Active Subspaces.
SIAM J. Sci. Comput., 2016

Construction and Analysis of HDG Methods for Linearized Shallow Water Equations.
SIAM J. Sci. Comput., 2016

Emulation of higher-order tensors in manifold Monte Carlo methods for Bayesian Inverse Problems.
J. Comput. Phys., 2016

eHDG: An Exponentially Convergent Iterative Solver for HDG Discretizations of Hyperbolic Partial Differential Equations.
CoRR, 2016

A Randomized Misfit Approach for Data Reduction in Large-Scale Inverse Problems.
CoRR, 2016

2015
Discretely Exact Derivatives for Hyperbolic PDE-Constrained Optimization Problems Discretized by the Discontinuous Galerkin Method.
J. Sci. Comput., 2015

From Godunov to a unified hybridized discontinuous Galerkin framework for partial differential equations.
J. Comput. Phys., 2015

2014
An Analysis of Infinite Dimensional Bayesian Inverse Shape Acoustic Scattering and Its Numerical Approximation.
SIAM/ASA J. Uncertain. Quantification, 2014

The DPG method for the Stokes problem.
Comput. Math. Appl., 2014

A robust DPG method for convection-dominated diffusion problems II: Adjoint boundary conditions and mesh-dependent test norms.
Comput. Math. Appl., 2014

2013
A Computational Framework for Infinite-Dimensional Bayesian Inverse Problems Part I: The Linearized Case, with Application to Global Seismic Inversion.
SIAM J. Sci. Comput., 2013

A Unified Discontinuous Petrov-Galerkin Method and Its Analysis for Friedrichs' Systems.
SIAM J. Numer. Anal., 2013

Constructively well-posed approximation methods with unity inf-sup and continuity constants for partial differential equations.
Math. Comput., 2013

2012
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., 2012

Analysis of an hp-Nonconforming Discontinuous Galerkin Spectral Element Method for Wave Propagation.
SIAM J. Numer. Anal., 2012

Extreme-scale UQ for Bayesian inverse problems governed by PDEs.
Proceedings of the SC Conference on High Performance Computing Networking, 2012

2008
Model Reduction for Large-Scale Systems with High-Dimensional Parametric Input Space.
SIAM J. Sci. Comput., 2008

2007
Goal-oriented, model-constrained optimization for reduction of large-scale systems.
J. Comput. Phys., 2007


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