Matthew D Piggott — accepted AI-conference papers

2024

Towards Universal Mesh Movement Networks

Mingrui Zhang, Chunyang Wang, Stephan C. Kramer, Joseph Gregory Wallwork, Siyi Li, Jiancheng Liu +2

NeurIPS 2024spotlight

Solving complex Partial Differential Equations (PDEs) accurately and efficiently is an essential and challenging problem in all scientific and engineering disciplines. Mesh movement methods provide the capability to improve the accuracy of the numerical solution without increasing the overall mesh d…

Cited by 1 Source ↗PDF ↗code ↗Scholar ↗

2022

M2N: Mesh Movement Networks for PDE Solvers

Wenbin Song, Mingrui Zhang, Joseph Gregory Wallwork, Junpeng Gao, Zheng Tian, Fanglei Sun +5

NeurIPS 2022accept

Numerical Partial Differential Equation (PDE) solvers often require discretizing the physical domain by using a mesh. Mesh movement methods provide the capability to improve the accuracy of the numerical solution without introducing extra computational burden to the PDE solver, by increasing mesh re…

Cited by 19 Source ↗PDF ↗Scholar ↗