31 citations · 188 across the 26 of their papers we have counts for
4 papers · 1 filter
Bloch theory-based gradient recovery method for computing topological edge modes in photonic graphene
Hailong Guo, Xu Yang, Yi Zhu
Photonic graphene, a photonic crystal with honeycomb structures, has been intensively studied in both theoretical and applied fields. Similar to graphene which admits Dirac Fermion…
Gradient recovery for elliptic interface problem: III. Nitsche's method
Hailong Guo, Xu Yang
This is the third paper on the study of gradient recovery for elliptic interface problem. In our previous works [H. Guo and X. Yang, 2016, arXiv:1607.05898 and {\it J. Comput. Phys…
Parametric Polynomial Preserving Recovery on Manifolds
Guozhi Dong, Hailong Guo
This paper investigates gradient recovery schemes for data defined on discretized manifolds. The proposed method, parametric polynomial preserving recovery (PPPR), does not require…
Superconvergence analysis of partially penalized immersed finite element method
Hailong Guo, Xu Yang, Zhimin Zhang
The contribution of this paper contains two parts: first, we prove a supercloseness result for the partially penalized immersed finite element (PPIFE) method in [T. Lin, Y. Lin, an…