58 citations · 216 across the 16 of their papers we have counts for
5 papers · 1 filter
Immersed Virtual Element Methods for Elliptic Interface Problems in Two Dimensions
Shuhao Cao, Long Chen, Ruchi Guo +1
This article presents an immersed virtual element method for solving a class of interface problems that combines the advantages of both body-fitted mesh methods and unfitted mesh m…
Choose a Transformer: Fourier or Galerkin
Shuhao Cao
In this paper, we apply the self-attention from the state-of-the-art Transformer in Attention Is All You Need for the first time to a data-driven operator learning problem related…
A Virtual Finite Element Method for Two Dimensional Maxwell Interface Problems with a Background Unfitted Mesh
Shuhao Cao, Long Chen, Ruchi Guo
A virtual element method (VEM) with the first order optimal convergence order is developed for solving two-dimensional Maxwell interface problems on a special class of polygonal me…
Error analysis of a decoupled finite element method for quad-curl problems
Shuhao Cao, Long Chen, Xuehai Huang
Finite element approximation to a decoupled formulation for the quad--curl problem is studied in this paper. The difficulty of constructing elements with certain conformity to the…
A New Numerical Method for Div-Curl Systems with Low Regularity Assumptions
Shuhao Cao, Chunmei Wang, Junping Wang
This paper presents a numerical method for div-curl systems with normal boundary conditions by using a finite element technique known as primal-dual weak Galerkin (PDWG). The PDWG…