78 citations · 229 across the 12 of their papers we have counts for
12 papers
The Hard-Constraint PINNs for Interface Optimal Control Problems
Ming-Chih Lai, Yongcun Song, Xiaoming Yuan +2
We show that the physics-informed neural networks (PINNs), in combination with some recently developed discontinuity capturing neural networks, can be applied to solve optimal cont…
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…
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…
The Tension Determination Problem for an Inextensible Interface in 2D Stokes Flow
Po-Chun Kuo, Ming-Chih Lai, Yoichiro Mori +1
Consider an inextensible closed filament immersed in a 2D Stokes fluid. Given a force density defined on this filament, we consider the problem of determining the tens…
Energy stable methods for phase-field simulation of droplet impact with surfactants
Chenxi Wang, Ming-Chih Lai, Zhen Zhang
This paper is devoted to the numerical study of droplet impact on solid substrates in presence of surfactants. We formulate the problem in an energetically variational framework an…
A cusp-capturing PINN for elliptic interface problems
Yu-Hau Tseng, Te-Sheng Lin, Wei-Fan Hu +1
In this paper, we propose a cusp-capturing physics-informed neural network (PINN) to solve discontinuous-coefficient elliptic interface problems whose solution is continuous but ha…