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A Virtual Finite Element Method for Two Dimensional Maxwell Interface Problems with a Background Unfitted Mesh

Publication: Journal Article

Cao, Shuhao, Long Chen, and Ruchi Guo. 2021. “A Virtual Finite Element Method for Two Dimensional Maxwell Interface Problems With a Background Unfitted Mesh”. Mathematical Models and Methods in Applied Sciences 31 (14): 2907-36.

Publication: Conference Proceedings

Cao, Shuhao. 2021. “Choose a Transformer: Fourier or Galerkin”. 35th Conference on Neural Information Processing Systems (NeurIPS).

Publication: Journal Article

Publication: Journal Article

Cao, Shuhao, and Lizhen Qin. 2024. “A Numerical Domain Decomposition Method for Solving Elliptic Equations on Manifolds”. SIAM Journal on Scientific Computing 46 (1): A376—A398.

Publication: Journal Article

Cao, Shuhao, Long Chen, and Xuehai Huang. 2021. “Error Analysis of a Decoupled Finite Element Method for Quad-Curl Problems”. Journal of Scientific Computing 90 (29).

Publication: Journal Article

Cao, Shuhao, and Long Chen. 2018. “Anisotropic Error Estimates of the Linear Virtual Element Method on Polygonal Meshes”. SIAM Journal on Numerical Analysis 56 (5): 2913-39.

Publication: Journal Article

Cao, Shuhao, and Long Chen. 2019. “Anisotropic Error Estimates of the Linear Nonconforming Virtual Element Methods”. SIAM Journal on Numerical Analysis 57 (3): 1058-81.

Publication: Conference Proceedings

Guo, Ruchi, Shuhao Cao, and Long Chen. 2023. “Transformer Meets Boundary Value Inverse Problems”. The Eleventh International Conference on Learning Representations (ICLR).

Publication: Journal Article

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.

Publication: Journal Article

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.