5 papers
New interior penalty method for Monge-Ampère equations
Tianyang Chu, Hailong Guo, Zhimin Zhang
Monge-Ampère equation is a prototype second-order fully nonlinear partial differential equation. In this paper, we propose a new idea to design and analyze the interior penal…
Unfitted finite element method for the quad-curl interface problem
Hailong Guo, Mingyan Zhang, Qian Zhang +1
In this paper, we introduce a novel unfitted finite element method to solve the quad-curl interface problem. We adapt Nitsche's method for curlcurl-conforming elements and double t…
Unfitted Nitsche's method for computing band structures in phononic crystals with impurities
Hailong Guo, Xu Yang, Yi Zhu
In this paper, we propose an unfitted Nitsche's method to compute the band structures of phononic crystal with impurities of general geometry. The proposed method does not require…
Unfitted Nitsche's method for computing wave modes in topological materials
Hailong Guo, Xu Yang, Yi Zhu
In this paper, we propose an unfitted Nitsche's method for computing wave modes in topological materials. The proposed method is based on Nitsche's technique to study the performan…
Superconvergent Gradient Recovery for Virtual Element Methods
Hailong Guo, Cong Xie, Ren Zhao
Virtual element methods is a new promising finite element methods using general polygonal meshes. Its optimal a priori error estimates are well established in the literature. In th…