A Bootstrap Multigrid Eigensolver
Brannick, James, and Shuhao Cao. 2022. “A Bootstrap Multigrid Eigensolver”. SIAM Journal on Matrix Analysis and Applications 43 (4): 1627-57.
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A simple virtual element-based flux recovery on quadtree
Cao, Shuhao. 2021. “A Simple Virtual Element-Based Flux Recovery on Quadtree”. Electronic Research Archive 29 (6): 3629-47.
$\gamma$-deepDSM for interface reconstruction: operator learning and a Learning-Automated FEM package
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.
Robust a posteriori error estimation for finite element approximation to H(curl) problem
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.
Transformer Meets Boundary Value Inverse Problems
Guo, Ruchi, Shuhao Cao, and Long Chen. 2023. “Transformer Meets Boundary Value Inverse Problems”. The Eleventh International Conference on Learning Representations (ICLR).
A nonconforming primal hybrid finite element method for the two-dimensional vector Laplacian
Barker, Mary, Shuhao Cao, and Ari Stern. 2024. “A Nonconforming Primal Hybrid Finite Element Method for the Two-Dimensional Vector Laplacian”. The SMAI Journal of Computational Mathematics 10: 85-106.
Immersed virtual element methods for electromagnetic interface problems in three dimensions
Cao, Shuhao, Long Chen, and Ruchi Guo. 2023. “Immersed Virtual Element Methods for Electromagnetic Interface Problems in Three Dimensions”. Mathematical Models and Methods in Applied Sciences 33 (03): 455-503.
Convergence and optimality of an adaptive modified weak Galerkin finite element method
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.
A New Numerical Method for Div-Curl Systems with Low Regularity Assumptions
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.
A recovery-based a posteriori error estimator for H(curl) interface problems
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.