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cuiyu he
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Cited by
Cited by
Year
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
472017
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
382022
Residual-based a posteriori error estimation for immersed finite element methods
C He, X Zhang
Journal of Scientific Computing 81 (3), 2051-2079, 2019
182019
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
172017
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
152017
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
142022
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
102021
p-Adic statistical field theory and convolutional deep Boltzmann machines
WA Z˙˝iga-Galindo, C He, BA Zambrano-Luna
Progress of Theoretical and Experimental Physics 2023 (6), 063A01, 2023
82023
Improved ZZ a posteriori error estimators for diffusion problems: Discontinuous elements
Z Cai, C He, S Zhang
Applied Numerical Mathematics 159, 174-189, 2021
62021
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
52022
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
42023
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
42019
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
32024
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
22022
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
22021
Optimal control of convection-cooling and numerical implementation
C He, W Hu, L Mu
Computers & Mathematics with Applications 92, 48-61, 2021
22021
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
12021
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
12015
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
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