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math.NA2024
A new decoupled unconditionally stable scheme and its optimal error analysis for the Cahn-Hilliard-Navier-Stokes equations
Haijun Gao, Xi Li, Minfu Feng
We construct a decoupled, first-order, fully discrete, and unconditionally energy stable scheme for the Cahn-Hilliard-Navier-Stokes equations. The scheme is divided into two main p…
cs.LG2024
Improved physics-informed neural network in mitigating gradient related failures
Pancheng Niu, Yongming Chen, Jun Guo +3
Physics-informed neural networks (PINNs) integrate fundamental physical principles with advanced data-driven techniques, driving significant advancements in scientific computing. H…