3 papers
stat.ML2024
A Model-Constrained Discontinuous Galerkin Network (DGNet) for Compressible Euler Equations with Out-of-Distribution Generalization
Hai V. Nguyen, Jau-Uei Chen, Tan Bui-Thanh
Real-time accurate solutions of large-scale complex dynamical systems are critically needed for control, optimization, uncertainty quantification, and decision-making in practical…
math.NA2023
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…
math.NA2023
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'…