63 citations · 308 across the 48 of their papers we have counts for
5 papers · 1 filter
A Divergence-Free and -Conforming Embedded-Hybridized DG Method for the Incompressible Resistive MHD equations
Jau-Uei Chen, Tamás L. Horváth, Tan Bui-Thanh
We present a divergence-free and -conforming hybridized discontinuous Galerkin (HDG) method and a computationally efficient variant called embedded-HDG (E-HDG) for solving…
Adjoint and Its roles in Sciences, Engineering, and Mathematics: A Tutorial
Tan Bui-Thanh
This paper synergizes the roles of adjoint in various disciplines of mathematics, sciences, and engineering. Though the materials developed and presented are not new -- as each or…
An autoencoder compression approach for accelerating large-scale inverse problems
Jonathan Wittmer, Jacob Badger, Hari Sundar +1
PDE-constrained inverse problems are some of the most challenging and computationally demanding problems in computational science today. Fine meshes that are required to accurately…
Unified -HDG Frameworks for Friedrichs' PDE systems
Jau-Uei Chen, Shinhoo Kang, Tan Bui-Thanh +1
This work proposes a unified -adaptivity framework for hybridized discontinuous Galerkin (HDG) method for a large class of partial differential equations (PDEs) of Friedrichs'…
On Unifying Randomized Methods For Inverse Problems
Jonathan Wittmer, C. G. Krishnanunni, Hai V. Nguyen +1
This work unifies the analysis of various randomized methods for solving linear and nonlinear inverse problems by framing the problem in a stochastic optimization setting. By doing…