5 citations · 5 across the 2 of their papers we have counts for
2 papers
math.NA2021
Flux recovery for Cut finite element method and its application in a posteriori error estimation
Daniela Capatina, Cuiyu He
In this article, we aim to recover locally conservative and conforming fluxes for the linear Cut Finite Element Solution with Nitsche's method for Poisson problems with Di…
math.NA2020★ 5 cited
A Mesh-free Method Using Piecewise Deep Neural Network for Elliptic Interface Problems
Cuiyu He, Xiaozhe Hu, Lin Mu
In this paper, we propose a novel mesh-free numerical method for solving the elliptic interface problems based on deep learning. We approximate the solution by the neural networks…