65 citations · 74 across the 4 of their papers we have counts for
4 papers · 1 filter
A categorical embedding discontinuity-capturing shallow neural network for anisotropic elliptic interface problems
Wei-Fan Hu, Te-Sheng Lin, Yu-Hau Tseng +1
In this paper, we propose a categorical embedding discontinuity-capturing shallow neural network for anisotropic elliptic interface problems. The architecture comprises three hidde…
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 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…
An efficient neural-network and finite-difference hybrid method for elliptic interface problems with applications
Wei-Fan Hu, Te-Sheng Lin, Yu-Hau Tseng +1
A new and efficient neural-network and finite-difference hybrid method is developed for solving Poisson equation in a regular domain with jump discontinuities on embedded irregular…