1 citations · 1 across the 2 of their papers we have counts for
4 papers
Physics-informed neural networks for solving two-phase flow problems with moving interfaces
Qijia Zhai, Pengtao Sun, Xiaoping Xie +2
In this paper, a meshfree method using physics-informed neural networks (PINNs) is developed for solving two-phase flow problems with moving interfaces, where two immiscible fluids…
A Deep Neural Network/Meshfree Method for Solving Dynamic Two-phase Interface Problems
Xingwen Zhu, Xiaozhe Hu, Pengtao Sun
In this paper, a meshfree method using the deep neural network (DNN) approach is developed for solving two kinds of dynamic two-phase interface problems governed by different dynam…
Quasi-optimal convergence rate for an adaptive hybridizable C0 discontinuous Galerkin method for Kirchhoff plates
Pengtao Sun, Xuehai Huang
In this paper, we present an adaptive hybridizable discontinuous Galerkin (HCDG) method for Kirchhoff plates. A reliable and efficient a posteriori error estimator is produce…
A Toy Model for Testing Finite Element Methods to Simulate Extreme-Mass-Ratio Binary Systems
Carlos F. Sopuerta, Pengtao Sun, Pablo Laguna +1
Extreme mass ratio binary systems, binaries involving stellar mass objects orbiting massive black holes, are considered to be a primary source of gravitational radiation to be dete…