1 citations · 1 across the 4 of their papers we have counts for
6 papers
A Method for Exact Enforcement of Boundary Conditions on General Curved Triangular Domains: Algorithm and Application to Scientific Machine Learning
Suchuan Dong, Yuchuan Zhang
We present a method for enforcing exactly Dirichlet, Neumann, and Robin conditions on general triangular domains with arbitrarily curved boundaries. The algorithmic constructions d…
Mapped Multi-Patch Spectral Extreme Learning Machine for Partial Differential Equations
Yiran Wang, Suchuan Dong
We study a fixed-feature solver, referred to as Spectral-ELM, in which Chebyshev--Gauss--Lobatto (CGL) differentiation matrices are applied to the nodal values of an extreme learni…
A Novel Method for Enforcing Exactly Dirichlet, Neumann and Robin Conditions on Curved Domain Boundaries for Physics Informed Machine Learning
Suchuan Dong, Yuchuan Zhang
We present a systematic method for exactly enforcing Dirichlet, Neumann, and Robin type conditions on general quadrilateral domains with arbitrary curved boundaries. Our method is…
Error Analysis and Numerical Algorithm for PDE Approximation with Hidden-Layer Concatenated Physics Informed Neural Networks
Yianxia Qian, Yongchao Zhang, Suchuan Dong
We present the hidden-layer concatenated physics informed neural network (HLConcPINN) method, which combines hidden-layer concatenated feed-forward neural networks, a modified bloc…
An Extreme Learning Machine-Based Method for Computational PDEs in Higher Dimensions
Yiran Wang, Suchuan Dong
We present two effective methods for solving high-dimensional partial differential equations (PDE) based on randomized neural networks. Motivated by the universal approximation pro…
A Three-Dimensional Hybrid Spectral Element-Fourier Spectral Method for Wall-Bounded Two-Phase Flows
S. H. Challa, S. Dong, L. D. Zhu
We present a hybrid spectral element-Fourier spectral method for solving the coupled system of Navier-Stokes and Cahn-Hilliard equations to simulate wall-bounded two-phase flows in…