Cuiyu He

According to our database, Cuiyu He authored at least 17 papers between 2017 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2024

NODE-ImgNet: A PDE-informed effective and robust model for image denoising.

Xinheng Xie, Yue Wu, Hao Ni, Cuiyu He

Pattern Recognit., April, 2024

Robust Flux Reconstruction and a Posteriori Error Analysis for an Elliptic Problem with Discontinuous Coefficients.

Daniela Capatina, Aimene Gouasmi, Cuiyu He

J. Sci. Comput., January, 2024

2023

Best approximation results and essential boundary conditions for novel types of weak adversarial network discretizations for PDEs.

Silvia Bertoluzza, Erik Burman, Cuiyu He

CoRR, 2023

2022

An A Posteriori Error Estimate of the Outer Normal Derivative Using Dual Weights.

Silvia Bertoluzza, Erik Burman, Cuiyu He

SIAM J. Numer. Anal., 2022

Towards fast weak adversarial training to solve high dimensional parabolic partial differential equations using XNODE-WAN.

Paul Valsecchi Oliva, Yue Wu, Cuiyu He, Hao Ni

J. Comput. Phys., 2022

A mesh-free method using piecewise deep neural network for elliptic interface problems.

Cuiyu He, Xiaozhe Hu, Lin Mu

J. Comput. Appl. Math., 2022

2021

Comparison of Shape Derivatives Using CutFEM for Ill-posed Bernoulli Free Boundary Problem.

Erik Burman, Cuiyu He, Mats G. Larson

J. Sci. Comput., 2021

Generalized Prager-Synge identity and robust equilibrated error estimators for discontinuous elements.

Zhiqiang Cai, Cuiyu He, Shun Zhang

J. Comput. Appl. Math., 2021

Flux recovery for Cut finite element method and its application in a posteriori error estimation.

Daniela Capatina, Cuiyu He

CoRR, 2021

Optimal control of convection-cooling and numerical implementation.

Cuiyu He, Weiwei Hu, Lin Mu

Comput. Math. Appl., 2021

2020

Generalized Prager-Synge Inequality and Equilibrated Error Estimators for Discontinuous Elements.

Cuiyu He, Zhiqiang Cai, Shun Zhang

CoRR, 2020

2019

Primal Dual Mixed Finite Element Methods for Indefinite Advection-Diffusion Equations.

Erik Burman, Cuiyu He

SIAM J. Numer. Anal., 2019

Residual-Based a Posteriori Error Estimation for Immersed Finite Element Methods.

Cuiyu He, Xu Zhang

J. Sci. Comput., 2019

Residual-based a posteriori error estimation for immersed finite element methods.

Cuiyu He, Xu Zhang

CoRR, 2019

A Posteriori Error Estimates with Boundary Correction for a Cut Finite Element Method.

Erik Burman, Cuiyu He, Mats G. Larson

CoRR, 2019

2017

Discontinuous Finite Element Methods for Interface Problems: Robust A Priori and A Posteriori Error Estimates.

Zhiqiang Cai, Cuiyu He, Shun Zhang

SIAM J. Numer. Anal., 2017

Residual-based a posteriori error estimate for interface problems: Nonconforming linear elements.

Zhiqiang Cai, Cuiyu He, Shun Zhang

Math. Comput., 2017