Cuiyu He

Publication Activity (10 Years)

Years Active: 2017-2024
Publications (10 Years): 22

Top Topics

Partial Differential Equations

Error Estimates

Finite Element Methods

Boundary Conditions

Top Venues

SIAM J. Numer. Anal.

J. Sci. Comput.

J. Comput. Appl. Math.

Publications

Xinheng Xie, Yue Wu, Hao Ni, Cuiyu He
NODE-ImgNet: A PDE-informed effective and robust model for image denoising. Pattern Recognit. 148 (2024)
Daniela Capatina, Aimene Gouasmi, Cuiyu He
Robust Flux Reconstruction and a Posteriori Error Analysis for an Elliptic Problem with Discontinuous Coefficients. J. Sci. Comput. 98 (1) (2024)
Xinheng Xie, Yue Wu, Hao Ni, Cuiyu He
NODE-ImgNet: a PDE-informed effective and robust model for image denoising. CoRR (2023)
Silvia Bertoluzza, Erik Burman, Cuiyu He
Best approximation results and essential boundary conditions for novel types of weak adversarial network discretizations for PDEs. CoRR (2023)
Silvia Bertoluzza, Erik Burman, Cuiyu He
An A Posteriori Error Estimate of the Outer Normal Derivative Using Dual Weights. SIAM J. Numer. Anal. 60 (1) (2022)
Cuiyu He, Xiaozhe Hu, Lin Mu
A mesh-free method using piecewise deep neural network for elliptic interface problems. J. Comput. Appl. Math. 412 (2022)
Paul Valsecchi Oliva, Yue Wu, Cuiyu He, Hao Ni
Towards fast weak adversarial training to solve high dimensional parabolic partial differential equations using XNODE-WAN. J. Comput. Phys. 463 (2022)
Daniela Capatina, Cuiyu He
Flux recovery for Cut finite element method and its application in a posteriori error estimation. CoRR (2021)
Erik Burman, Cuiyu He, Mats G. Larson
Comparison of Shape Derivatives Using CutFEM for Ill-posed Bernoulli Free Boundary Problem. J. Sci. Comput. 88 (2) (2021)
Zhiqiang Cai, Cuiyu He, Shun Zhang
Generalized Prager-Synge identity and robust equilibrated error estimators for discontinuous elements. J. Comput. Appl. Math. 398 (2021)
Cuiyu He, Weiwei Hu, Lin Mu
Optimal control of convection-cooling and numerical implementation. Comput. Math. Appl. 92 (2021)
Paul Valsecchi Oliva, Yue Wu, Cuiyu He, Hao Ni
Towards fast weak adversarial training to solve high dimensional parabolic partial differential equations using XNODE-WAN. CoRR (2021)
Erik Burman, Cuiyu He, Mats G. Larson
Comparison of Shape Derivatives using CutFEM for Ill-posed Bernoulli Free Boundary Problem. CoRR (2020)
Cuiyu He, Zhiqiang Cai, Shun Zhang
Generalized Prager-Synge Inequality and Equilibrated Error Estimators for Discontinuous Elements. CoRR (2020)
Cuiyu He, Xiaozhe Hu, Lin Mu
A Mesh-free Method Using Piecewise Deep Neural Network for Elliptic Interface Problems. CoRR (2020)
Silvia Bertoluzza, Erik Burman, Cuiyu He
An a posteriori error estimate of the outer normal derivative using dual weights. CoRR (2020)
Cuiyu He, Xu Zhang
Residual-Based a Posteriori Error Estimation for Immersed Finite Element Methods. J. Sci. Comput. 81 (3) (2019)
Erik Burman, Cuiyu He, Mats G. Larson
A Posteriori Error Estimates with Boundary Correction for a Cut Finite Element Method. CoRR (2019)
Erik Burman, Cuiyu He
Primal Dual Mixed Finite Element Methods for Indefinite Advection-Diffusion Equations. SIAM J. Numer. Anal. 57 (6) (2019)
Cuiyu He, Xu Zhang
Residual-based a posteriori error estimation for immersed finite element methods. CoRR (2019)
Zhiqiang Cai, Cuiyu He, Shun Zhang
Residual-based a posteriori error estimate for interface problems: Nonconforming linear elements. Math. Comput. 86 (304) (2017)
Zhiqiang Cai, Cuiyu He, Shun Zhang
Discontinuous Finite Element Methods for Interface Problems: Robust A Priori and A Posteriori Error Estimates. SIAM J. Numer. Anal. 55 (1) (2017)