230 citations · 1.3k across the 27 of their papers we have counts for
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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.NA2023★ 1 cited
Error Analysis of Physics-Informed Neural Networks for Approximating Dynamic PDEs of Second Order in Time
Yanxia Qian, Yongchao Zhang, Yunqing Huang +1
We consider the approximation of a class of dynamic partial differential equations (PDE) of second order in time by the physics-informed neural network (PINN) approach, and provide…