Hailong Guo

Unfitted Nitsche's Method for Computing Wave Modes in Topological Materials

Hailong Guo, Xu Yang, Yi Zhu

Journal article  |  2021  |  JOURNAL OF SCIENTIFIC COMPUTING

In this paper, we propose an unfitted Nitsche’s method for computing wave modes in topological materials. The proposed method is b..

Unfitted Nitsche's method for computing band structures of phononic crystals with periodic inclusions

H Guo, X Yang, Y Zhu

Journal article  |  2021  |  Computer Methods in Applied Mechanics and Engineering

In this paper, we propose an unfitted Nitsche's method to compute the band structures of phononic crystal with periodic inclusions..

Surface Crouzeix-Raviart element for the Laplace-Beltrami equation

Hailong Guo

Journal article  |  2020  |  NUMERISCHE MATHEMATIK

In this paper, we are concerned with the nonconforming finite element discretization of geometric partial differential equations. ..

PARAMETRIC POLYNOMIAL PRESERVING RECOVERY ON MANIFOLDS

Guozhi Dong, Hailong Guo

Journal article  |  2020  |  SIAM JOURNAL ON SCIENTIFIC COMPUTING

This paper investigates gradient recovery schemes for data defined on discretized manifolds. The proposed method, parametric polyn..

Superconvergent gradient recovery for virtual element methods

Hailong Guo, Cong Xie, Ren Zhao

Journal article  |  2019  |  MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Virtual element method is a new promising finite element method using general polygonal meshes. Its optimal a priori error estimat..

Hessian recovery based finite element methods for the Cahn-Hilliard equation

Minqiang Xu, Hailong Guo, Qingsong Zou

Journal article  |  2019  |  JOURNAL OF COMPUTATIONAL PHYSICS

In this paper, we propose several novel recovery based finite element methods for the 2D Cahn-Hilliard equation. One distinguishin..

Bloch theory-based gradient recovery method for computing topological edge modes in photonic graphene

Hailong Guo, Xu Yang, Yi Zhu

Journal article  |  2019  |  JOURNAL OF COMPUTATIONAL PHYSICS

Photonic graphene, a photonic crystal with honeycomb structures, has been intensively studied in both theoretical and applied fiel..

Superconvergence of partially penalized immersed finite element methods

Hailong Guo, Xu Yang, Zhimin Zhang

Journal article  |  2018  |  IMA JOURNAL OF NUMERICAL ANALYSIS

The contribution of this article contains two parts: first, we prove a supercloseness result for the partially penalized immersed ..

Gradient Recovery for Elliptic Interface Problem: I. Body-Fitted Mesh

Hailong Guo, Xu Yang

Journal article  |  2018  |  COMMUNICATIONS IN COMPUTATIONAL PHYSICS

n this paper, we propose a new gradient recovery method for elliptic inter- face problem using body-fitted meshes. Due to the lack..

A C-0 Linear Finite Element Method for Biharmonic Problems

Hailong Guo, Zhimin Zhang, Qingsong Zou

Journal article  |  2018  |  JOURNAL OF SCIENTIFIC COMPUTING

In this paper, a C0 linear finite element method for biharmonic equations is constructed and analyzed. In our construction, the po..