| Discontinuous finite element methods for interface problems: robust a priori and a posteriori error estimates Z Cai, C He, S Zhang SIAM Journal on Numerical Analysis 55 (1), 400-418, 2017 | 49 | 2017 |
| A mesh-free method using piecewise deep neural network for elliptic interface problems C He, X Hu, L Mu Journal of Computational and Applied Mathematics 412, 114358, 2022 | 41 | 2022 |
| Residual-based a posteriori error estimation for immersed finite element methods C He, X Zhang Journal of Scientific Computing 81 (3), 2051-2079, 2019 | 19 | 2019 |
| Improved ZZ a posteriori error estimators for diffusion problems: Conforming linear elements Z Cai, C He, S Zhang Computer Methods in Applied Mechanics and Engineering 313, 433-449, 2017 | 18 | 2017 |
| Residual-based a posteriori error estimate for interface problems: nonconforming linear elements Z Cai, C He, S Zhang Mathematics of Computation 86 (304), 617-636, 2017 | 16 | 2017 |
| A posteriori error estimates with boundary correction for a cut finite element method E Burman, C He, MG Larson IMA Journal of Numerical Analysis 42 (1), 333-362, 2022 | 15 | 2022 |
| p-Adic statistical field theory and convolutional deep Boltzmann machines WA Zúñiga-Galindo, C He, BA Zambrano-Luna Progress of Theoretical and Experimental Physics 2023 (6), 063A01, 2023 | 11 | 2023 |
| Generalized Prager–Synge identity and robust equilibrated error estimators for discontinuous elements Z Cai, C He, S Zhang Journal of Computational and Applied Mathematics 398, 113673, 2021 | 10 | 2021 |
| Error analysis of Petrov-Galerkin immersed finite element methods C He, S Zhang, X Zhang Computer Methods in Applied Mechanics and Engineering 404, 115744, 2023 | 7 | 2023 |
| Improved ZZ a posteriori error estimators for diffusion problems: Discontinuous elements Z Cai, C He, S Zhang Applied Numerical Mathematics 159, 174-189, 2021 | 7 | 2021 |
| Towards fast weak adversarial training to solve high dimensional parabolic partial differential equations using XNODE-WAN PV Oliva, Y Wu, C He, H Ni Journal of Computational Physics 463, 111233, 2022 | 6 | 2022 |
| Primal dual mixed finite element methods for indefinite advection-diffusion equations E Burman, C He SIAM Journal on Numerical Analysis 57 (6), 2785-2811, 2019 | 4 | 2019 |
| NODE-ImgNet: a PDE-informed effective and robust model for image denoising X Xie, Y Wu, H Ni, C He Pattern Recognition 148, 110176, 2024 | 3 | 2024 |
| An a posteriori error estimate of the outer normal derivative using dual weights S Bertoluzza, E Burman, C He SIAM Journal on Numerical Analysis 60 (1), 475-501, 2022 | 2 | 2022 |
| Flux recovery for Cut Finite Element Method and its application in a posteriori error estimation D Capatina, C He ESAIM: Mathematical Modelling and Numerical Analysis 55 (6), 2759-2784, 2021 | 2 | 2021 |
| Comparison of shape derivatives using CutFEM for ill-posed Bernoulli free boundary problem E Burman, C He, MG Larson Journal of Scientific Computing 88 (2), 35, 2021 | 2 | 2021 |
| Optimal control of convection-cooling and numerical implementation C He, W Hu, L Mu Computers & Mathematics with Applications 92, 48-61, 2021 | 2 | 2021 |
| Finite Element Methods for Interface Problems: Robust Residual-Based A Posteriori Error Estimates Z Cai, C He, S Zhang arXiv preprint arXiv:1510.06481, 2015 | 1 | 2015 |
| Robust Flux Reconstruction and a Posteriori Error Analysis for an Elliptic Problem with Discontinuous Coefficients D Capatina, A Gouasmi, C He Journal of Scientific Computing 98 (1), 28, 2024 | | 2024 |
| Best approximation results and essential boundary conditions for novel types of weak adversarial network discretizations for PDEs S Bertoluzza, E Burman, C He arXiv preprint arXiv:2307.05012, 2023 | | 2023 |
