61 citations · 96 across the 5 of their papers we have counts for
5 papers
A Functionally Connected Element Method for Solving Boundary Value Problems
Jielin Yang, Suchuan Dong
We present the general forms of piece-wise functions on partitioned domains satisfying an intrinsic or continuity across the sub-domain boundaries. These general forms…
Phase Field Modeling and Numerical Algorithm for Two-Phase Dielectric Fluid Flows
Jielin Yang, Ivan C. Christov, Suchuan Dong
We develop a method for modeling and simulating a class of two-phase flows consisting of two immiscible incompressible dielectric fluids and their interactions with imposed externa…
Numerical Approximation of Partial Differential Equations by a Variable Projection Method with Artificial Neural Networks
Suchuan Dong, Jielin Yang
We present a method for solving linear and nonlinear PDEs based on the variable projection (VarPro) framework and artificial neural networks (ANN). For linear PDEs, enforcing the b…
On Computing the Hyperparameter of Extreme Learning Machines: Algorithm and Application to Computational PDEs, and Comparison with Classical and High-Order Finite Elements
Suchuan Dong, Jielin Yang
We consider the use of extreme learning machines (ELM) for computational partial differential equations (PDE). In ELM the hidden-layer coefficients in the neural network are assign…
Protecting Big Data Privacy Using Randomized Tensor Network Decomposition and Dispersed Tensor Computation
Jenn-Bing Ong, Wee-Keong Ng, Ivan Tjuawinata +6
Data privacy is an important issue for organizations and enterprises to securely outsource data storage, sharing, and computation on clouds / fogs. However, data encryption is comp…