Residual-based a posteriori error estimate for interface problems: Nonconforming linear elements. - Zhiqiang Cai 001; Cuiyu He; Shun Zhang 001 (Math. Comput., 2017)

Discontinuous Finite Element Methods for Interface Problems: Robust A Priori and A Posteriori Error Estimates. - Zhiqiang Cai 001; Cuiyu He; Shun Zhang 001 (SIAM J. Numer. Anal., 2017)

A Posteriori Error Estimates with Boundary Correction for a Cut Finite Element Method. - Erik Burman; Cuiyu He; Mats G. Larson (CoRR, 2019)

Residual-based a posteriori error estimation for immersed finite element methods. - Cuiyu He; Xu Zhang (CoRR, 2019)

Residual-Based a Posteriori Error Estimation for Immersed Finite Element Methods. - Cuiyu He; Xu Zhang 003 (J. Sci. Comput., 2019)

Primal Dual Mixed Finite Element Methods for Indefinite Advection-Diffusion Equations. - Erik Burman; Cuiyu He (SIAM J. Numer. Anal., 2019)

Generalized Prager-Synge Inequality and Equilibrated Error Estimators for Discontinuous Elements. - Cuiyu He; Zhiqiang Cai 001; Shun Zhang 001 (CoRR, 2020)

Optimal control of convection-cooling and numerical implementation. - Cuiyu He; Weiwei Hu; Lin Mu (Comput. Math. Appl., 2021)

Flux recovery for Cut finite element method and its application in a posteriori error estimation. - Daniela Capatina; Cuiyu He (CoRR, 2021)

Generalized Prager-Synge identity and robust equilibrated error estimators for discontinuous elements. - Zhiqiang Cai 001; Cuiyu He; Shun Zhang 001 (J. Comput. Appl. Math., 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)

A mesh-free method using piecewise deep neural network for elliptic interface problems. - Cuiyu He; Xiaozhe Hu; Lin Mu (J. Comput. Appl. Math., 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 001 (J. Comput. Phys., 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)

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)

NODE-AdvGAN: Improving the transferability and perceptual similarity of adversarial examples by dynamic-system-driven adversarial generative model. - Xinheng Xie; Yue Wu; Cuiyu He (CoRR, 2024)

WAN Discretization of PDEs: Best Approximation, Stabilization, and Essential Boundary Conditions. - Silvia Bertoluzza; Erik Burman; Cuiyu He (SIAM J. Sci. Comput., 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., 2024)

NODE-ImgNet: A PDE-informed effective and robust model for image denoising. - Xinheng Xie; Yue Wu; Hao Ni 001; Cuiyu He (Pattern Recognit., 2024)

Equilibrated Averaging Residual Method: A General Approach to Conservative Flux Recovery. - Cuiyu He (CoRR, 2025)

Elliptic interface problem approximated by CutFEM: I. Conservative flux recovery and numerical validation of adaptive mesh refinement. - Daniela Capatina; Aimene Gouasmi; Cuiyu He (CoRR, 2025)