78 citations · 229 across the 12 of their papers we have counts for
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math.NA2023
A discontinuity and cusp capturing PINN for Stokes interface problems with discontinuous viscosity and singular forces
Yu-Hau Tseng, Ming-Chih Lai
In this paper, we present a discontinuity and cusp capturing physics-informed neural network (PINN) to solve Stokes equations with a piecewise-constant viscosity and singular force…
math.NA2023★ 1 cited
A hybrid neural-network and MAC scheme for Stokes interface problems
Che-Chia Chang, Chen-Yang Dai, Wei-Fan Hu +2
In this paper, we present a hybrid neural-network and MAC (Marker-And-Cell) scheme for solving Stokes equations with singular forces on an embedded interface in regular domains. As…