61 citations · 96 across the 5 of their papers we have counts for
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math.NA2024
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…
math.NA2023★ 7 cited
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…
math.NA2022★ 28 cited
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…