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Cuiyu He
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2020 – today
- 2024
- [j12]Daniela Capatina
, Aimene Gouasmi
Robust Flux Reconstruction and a Posteriori Error Analysis for an Elliptic Problem with Discontinuous Coefficients. J. Sci. Comput. 98(1): 28 (2024) - [j11]Xinheng Xie
NODE-ImgNet: A PDE-informed effective and robust model for image denoising. Pattern Recognit. 148: 110176 (2024) - 2023
- [i10]Xinheng Xie, Yue Wu, Hao Ni, Cuiyu He:
NODE-ImgNet: a PDE-informed effective and robust model for image denoising. CoRR abs/2305.11049 (2023) - [i9]Silvia Bertoluzza
Best approximation results and essential boundary conditions for novel types of weak adversarial network discretizations for PDEs. CoRR abs/2307.05012 (2023) - 2022
- [j10]Cuiyu He
A mesh-free method using piecewise deep neural network for elliptic interface problems. J. Comput. Appl. Math. 412: 114358 (2022) - [j9]Paul Valsecchi Oliva, Yue Wu, Cuiyu He
Towards fast weak adversarial training to solve high dimensional parabolic partial differential equations using XNODE-WAN. J. Comput. Phys. 463: 111233 (2022) - [j8]Silvia Bertoluzza
An A Posteriori Error Estimate of the Outer Normal Derivative Using Dual Weights. SIAM J. Numer. Anal. 60(1): 475-501 (2022) - 2021
- [j7]Cuiyu He
Optimal control of convection-cooling and numerical implementation. Comput. Math. Appl. 92: 48-61 (2021) - [j6]Zhiqiang Cai, Cuiyu He
Generalized Prager-Synge identity and robust equilibrated error estimators for discontinuous elements. J. Comput. Appl. Math. 398: 113673 (2021) - [j5]Erik Burman, Cuiyu He
Comparison of Shape Derivatives Using CutFEM for Ill-posed Bernoulli Free Boundary Problem. J. Sci. Comput. 88(2): 35 (2021) - [i8]Daniela Capatina, Cuiyu He:
Flux recovery for Cut finite element method and its application in a posteriori error estimation. CoRR abs/2106.02547 (2021) - [i7]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 abs/2110.07812 (2021) - 2020
- [i6]Cuiyu He
Generalized Prager-Synge Inequality and Equilibrated Error Estimators for Discontinuous Elements. CoRR abs/2001.09102 (2020) - [i5]Cuiyu He
A Mesh-free Method Using Piecewise Deep Neural Network for Elliptic Interface Problems. CoRR abs/2005.04847 (2020) - [i4]Silvia Bertoluzza, Erik Burman, Cuiyu He
An a posteriori error estimate of the outer normal derivative using dual weights. CoRR abs/2008.07690 (2020) - [i3]Erik Burman, Cuiyu He
Comparison of Shape Derivatives using CutFEM for Ill-posed Bernoulli Free Boundary Problem. CoRR abs/2008.09668 (2020)
2010 – 2019
- 2019
- [j4]Cuiyu He
Residual-Based a Posteriori Error Estimation for Immersed Finite Element Methods. J. Sci. Comput. 81(3): 2051-2079 (2019) - [j3]Erik Burman, Cuiyu He
Primal Dual Mixed Finite Element Methods for Indefinite Advection-Diffusion Equations. SIAM J. Numer. Anal. 57(6): 2785-2811 (2019) - [i2]Erik Burman, Cuiyu He
A Posteriori Error Estimates with Boundary Correction for a Cut Finite Element Method. CoRR abs/1906.00879 (2019) - [i1]Cuiyu He, Xu Zhang:
Residual-based a posteriori error estimation for immersed finite element methods. CoRR abs/1910.07711 (2019) - 2017
- [j2]Zhiqiang Cai, Cuiyu He
Residual-based a posteriori error estimate for interface problems: Nonconforming linear elements. Math. Comput. 86(304): 617-636 (2017) - [j1]Zhiqiang Cai, Cuiyu He
Discontinuous Finite Element Methods for Interface Problems: Robust A Priori and A Posteriori Error Estimates. SIAM J. Numer. Anal. 55(1): 400-418 (2017)
Coauthor Index
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