3 citations · 7 across the 10 of their papers we have counts for
10 papers
Auto-Stabilized Weak Galerkin Finite Element Methods for Biharmonic Equations on Polytopal Meshes without Convexity Assumptions
Chunmei Wang
This paper introduces an auto-stabilized weak Galerkin (WG) finite element method for biharmonic equations with built-in stabilizers. Unlike existing stabilizer-free WG methods lim…
Auto-Stabilized Weak Galerkin Finite Element Methods on Polytopal Meshes without Convexity Constraints
Chunmei Wang
This paper introduces an auto-stabilized weak Galerkin (WG) finite element method with a built-in stabilizer for Poisson equations. By utilizing bubble functions as a key analytica…
Pseudo-differential integral autoencoder network for inverse PDE operators
Ke Chen, Jasen Lai, Chunmei Wang
Partial differential equations (PDEs) play a foundational role in modeling physical phenomena. This study addresses the challenging task of determining variable coefficients within…
Weak Galerkin methods for elliptic interface problems on curved polygonal partitions
Dan Li, Chunmei Wang, Shangyou Zhang
This paper presents a new weak Galerkin (WG) method for elliptic interface problems on general curved polygonal partitions. The method's key innovation lies in its ability to trans…
Weak Galerkin Finite Element Methods for Optimal Control Problems Governed by Second Order Elliptic Partial Differential Equations
Chunmei Wang, Junping Wang, Shangyou Zhang
This paper is concerned with the development of weak Galerkin (WG) finite element method for optimal control problems governed by second order elliptic partial differential equatio…
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…