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Convergence and optimality of an adaptive modified weak Galerkin finite element method

Publication: Journal Article

Xie, Yingying, Shuhao Cao, Long Chen, and Liuqiang Zhong. 2023. “Convergence and Optimality of an Adaptive Modified Weak Galerkin Finite Element Method”. Numerical Methods for Partial Differential Equations 39 (5): 3847-73.

Publication: Journal Article

Cao, Shuhao, Chunmei Wang, and Junping Wang. 2022. “A New Numerical Method for Div-Curl Systems With Low Regularity Assumptions”. Computers & Mathematics With Applications 114: 47-59.

Publication: Journal Article

Cai, Zhiqiang, and Shuhao Cao. 2015. “A Recovery-Based a Posteriori Error Estimator for H(curl) Interface Problems”. Computer Methods in Applied Mechanics and Engineering 296: 169-95.

Publication: Journal Article

Zheng, Yangyang, Huayi Wei, Shuhao Cao, and Ruchi Guo. 2024. “$\gamma$-DeepDSM for Interface Reconstruction: Operator Learning and a Learning-Automated FEM Package”. ArXiv Preprint ArXiv:2411.05341.

Publication: Journal Article

Cai, Zhiqiang, Shuhao Cao, and Rob Falgout. 2016. “Robust a Posteriori Error Estimation for Finite Element Approximation to H(curl) Problem”. Computer Methods in Applied Mechanics and Engineering 309 (1): 182-201.

Publication: Conference Proceedings

Cao, Shuhao, Francesco Brarda, Ruipeng Li, and Yuanzhe Xi. 2025. “Spectral-Refiner: Accurate Fine-Tuning of Spatiotemporal Fourier Neural Operator for Turbulent Flows”. The Thirteenth International Conference on Learning Representations (ICLR).

Publication: Journal Article

Liu, Xinliang, Bo Xu, Shuhao Cao, and Lei Zhang. 2024. “Mitigating Spectral Bias for the Multiscale Operator Learning”. Journal of Computational Physics 506: 112944.

Publication: Journal Article

Cao, Shuhao, Long Chen, Ruchi Guo, and Frank Lin. 2022. “Immersed Virtual Element Methods for Elliptic Interface Problems in Two Dimensions”. Journal of Scientific Computing 91 (1): 1-41.

Publication: Journal Article

Brannick, James, and Shuhao Cao. 2022. “A Bootstrap Multigrid Eigensolver”. SIAM Journal on Matrix Analysis and Applications 43 (4): 1627-57.

Publication: Journal Article

Cao, Shuhao. 2021. “A Simple Virtual Element-Based Flux Recovery on Quadtree”. Electronic Research Archive 29 (6): 3629-47.