Publications

Russell Philley, Hai V. Nguyen, Tan Bui-Thanh (2023). Model-constrained uncertainty quantification for scientific deep learning of inverse solutions. The XLIV Iberto-Latin American Congress on Computational Mechanics in Engineering, Refereeed Conference Proceedings, 2023.

Albert O Akuno, L Leticia Ramirez-Ramirez, Chahak Mehta, CG Krishnanunni, Bui-Thanh T, Jose A Montoya (2023). Multi-patch epidemic models with partial mobility, residency, and demography. Chaos, Solitons & Fractals Volume 173, August 113690, 2023.

Wittmer J, CG Krishnanunni, Nguyen H, Bui-Thanh T (2023). On unifying randomized methods for inverse problems. Inverse Problems, Volume 39, Number 7, 2023..

Wittmer J, Jacob Badger, Hari Sundar, Bui-Thanh T (2023). An autoencoder compression approach for accelerating large-scale inverse problems. Inverse Problems, In production, 2023.

Muralikrishnan S, Shannon S, Bui-Thanh T, Shadid J (2023). A Multilevel Block Preconditioner for the HDG Trace System Applied to Incompressible Resistive MHD. Computer Methods in Applied Mechanics and Engineering, 401 , 115775, February 1, 2023..

Nguyen H, Bui-Thanh T (2023). A Model-Constrained Tangent Manifold Learning Approach for Dynamical Systems. International Journal of Computational Fluid Dynamics, 36(7) , 655-685, February 10, 2023..

Nguyen H, Bui-Thanh T (2023). TNet: A Model-Constrained Tikhonov Network Approach for Inverse Problems. SIAM Journal of Scientific Computing, In Production , 2023.

Chen, Jau-Uei, Kang, Shinhoo, Bui-Thanh T (2023). Unified hp-HDG Frameworks for Friedrichs PDE systems. Under review, 2023.

Bui-Thanh T (2023). Adjoint and Its roles in Sciences, Engineering, and Mathematics: A Tutorial. Working paper, 2023.

Tri Pham, Quoc Nguyen, Tan Bui-Thanh (2023). Microseismic events based characterization of fractal fracture network. Working paper, 2023.

L. Leticia Ramírez-Ramírez, José A. Montoya, Jesús F. Espinoza, Chahak Mehta, Albert Orwa Akuno, Bui-Thanh T (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. Working paper, 2023.

Zhang W, Li DS, Bui-Thanh T, Sacks MS (2022). Simulation of the 3D hyperelastic behavior of ventricular myocardium using a finite-element based neural-network approach. Computer Methods in Applied Mechanics and Engineering, Volume 394, 114871..

Steins E, Bui-Thanh T, Herty M, Müller S (2022). Probabilistic Constrained Bayesion Inversion for Transpiration Cooling. arXiv preprint.

Nguyen H, Wittmer J, Bui-Thanh T (2022). DIAS: A Data-Informed Active Subspace Regularization Framework for Inverse Problems. Computation, Volume 10(3), 38.

Bui-Thanh T, Li Q, Zepeda-Núñez L (2022). Bridging and Improving Theoretical and Computational Electrical Impedance Tomography via Data Completion. SIAM Journal on Scientific Computing, Volume 44(3), B668-B693.

Bui-Thanh T (2022). A Unified and Constructive Framework for the Universality of Neural Networks. arXiv preprint.

Nguyen HV, Bui-Thanh T (2021). Model-constrained deep learning approaches for inverse problems. arXiv preprint.

Zhang W, Li DS, Bui-Thanh T, Sacks MS (2021). High-speed simulation of the 3D behavior of myocardium using a neural network PDE approach. International Conference on Functional Imaging and Modeling of the Heart.

Wittmer J, Bui-Thanh T (2021). Data-Informed Regularization for Inverse and Imaging Problems. Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging, 1-38.

Kang S, Bui-Thanh T (2021). A scalable exponential-DG approach for nonlinear conservation laws: With application to Burger and Euler equations. Computer Methods in Applied Mechanics and Engineering, Volume 385, 114031.

Sriramkrishnan M, Bui-Thanh T (2020). A multilevel approach for trace system in HDG discretizations.

H. Goh, Wittmer J, Bui-Thanh T (2019). Solving Bayesian Inverse Problems via Variational Autoencoders.