9 citations · 9 across the 7 of their papers we have counts for
7 papers
A GPU-accelerated Cartesian grid method for PDEs on irregular domain
Liwei Tan, Minsheng Huang, Wenjun Ying
The kernel-free boundary integral (KFBI) method has successfully solved partial differential equations (PDEs) on irregular domains. Diverging from traditional boundary integral met…
A Hybrid Kernel-Free Boundary Integral Method with Operator Learning for Solving Parametric Partial Differential Equations In Complex Domains
Shuo Ling, Liwei Tan, Wenjun Ying
The Kernel-Free Boundary Integral (KFBI) method presents an iterative solution to boundary integral equations arising from elliptic partial differential equations (PDEs). This meth…
A GPU-accelerated Cartesian grid method is proposed for solving the heat, wave, and Schrodinger equations on irregular domains
Liwei Tan, Minsheng Huang, Wenjun Ying
This paper introduces a second-order method for solving general elliptic partial differential equations (PDEs) on irregular domains using GPU acceleration, based on Ying's kernel-f…
A Non-staggered Projection Algorithm for Two-Phase Fluid-Structure Interaction Simulation Using the Phase-Field/Immersed-Boundary Method
Xiaoshuang Wang, Liwei Tan, Wenjun Ying +4
We present a Pressure-Oscillation-Free projection algorithm for large-density-ratio multiphase fluid-structure interaction simulations, implemented on a non-staggered Cartesian gri…
Physics-informed Data-driven Cavitation Model for a Specific MG EOS
Minsheng Huang, Chengbao Yao, Pan Wang +2
We present a novel one-fluid cavitation model of a specific Mie-Grüneisen equation of state(EOS), named polynomial EOS, based on an artificial neural network. Not only the physics-…
A Stabilized Parametric Finite Element Method for Surface Diffusion with an Arbitrary Surface Energy
Yulin Zhang, Yifei Li, Wenjun Ying
We proposed a structure-preserving stabilized parametric finite element method (SPFEM) for the evolution of closed curves under anisotropic surface diffusion with an arbitrary surf…