24 citations · 112 across the 40 of their papers we have counts for
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A Modified weak Galerkin finite element method for the Maxwell equations on polyhedral meshes
Chunmei Wang, Xiu Ye, Shangyou Zhang
We introduce a new numerical method for solving time-harmonic Maxwell's equations via the modified weak Galerkin technique. The inter-element functions of the weak Galerkin finite…
High Order Morley Elements for Biharmonic Equations on Polytopal Partitions
Dan Li, Chunmei Wang, Junping Wang +1
This paper introduces an extension of the Morley element for approximating solutions to biharmonic equations. Traditionally limited to piecewise quadratic polynomials on triangular…
Generalized weak Galerkin finite element methods for second order elliptic problems
Dan Li, Chunmei Wang, Junping Wang +1
This article proposes and analyzes the generalized weak Galerkin ({\rm g}WG) finite element method for the second order elliptic problem. A generalized discrete weak gradient opera…
Finite Expression Methods for Discovering Physical Laws from Data
Zhongyi Jiang, Chunmei Wang, Haizhao Yang
Nonlinear dynamics is a pervasive phenomenon observed in scientific and engineering disciplines. However, the task of deriving analytical expressions to describe nonlinear dynamics…
Generalized Weak Galerkin Finite Element Methods for Biharmonic Equations
Dan Li, Chunmei Wang, Junping Wang
The generalized weak Galerkin (gWG) finite element method is proposed and analyzed for the biharmonic equation. A new generalized discrete weak second order partial derivative is i…
Deep Operator Learning Lessens the Curse of Dimensionality for PDEs
Ke Chen, Chunmei Wang, Haizhao Yang
Deep neural networks (DNNs) have achieved remarkable success in numerous domains, and their application to PDE-related problems has been rapidly advancing. This paper provides an e…