3 papers
math.NA2026
Symplectic Hamiltonian Direct Discontinuous Galerkin Method for Wave Propagation
Haomiao Li, Yumiao Li, Jiaxin Wang +2
This paper presents a symplectic Hamiltonian direct discontinuous Galerkin (DDG) method for approximating wave propagation problems, including the linear and semilinear wave equati…
math.NA2025
CLINN: Conservation Law Informed Neural Network for Approximating Discontinuous Solutions
Weiheng Zeng, Kun Wang, Ruoxi Lu +1
Physics-informed Neural Network (PINN) faces significant challenges when approximating solutions to conservation laws, particularly in ensuring conservation and accurately resolvin…
physics.flu-dyn2024
A machine learning enhanced discontinuous Galerkin method for simulating transonic airfoil flow-fields
Yiwei Feng, Lili Lv, Weixiong Yuan +2
Accurate and rapid prediction of flow-fields is crucial for aerodynamic design. This work proposes a discontinuous Galerkin method (DGM) whose performance enhances with increasing…