3 citations · 3 across the 19 of their papers we have counts for
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A Least-Squares Weak Galerkin Method for the Biharmonic Cauchy Problem
Chunmei Wang, Shangyou Zhang
We develop a least-squares weak Galerkin (LS-WG) finite element method for the Cauchy problem of the biharmonic equation. The proposed approach reformulates the fourth-order equati…
A Least Squares Weak Galerkin Framework for Linear Elasticity on Polytopal Meshes
Chunmei Wang, Shangyou Zhang
This paper develops and analyzes a least-squares weak Galerkin (LS-WG) finite element method for linear elasticity. By employing weak differential operators, specifically the weak…
A Least Squares Weak Galerkin Finite Element Method for Fokker-Planck Type Equations
Chunmei Wang, Shangyou Zhang
This paper presents a least squares weak Galerkin (LS-WG) finite element method for a class of second order elliptic equations of Fokker-Planck type. To address the numerical chall…
Solving the Stokes Equations via a Least Squares Weak Galerkin Method
Chunmei Wang, Shangyou Zhang
We present a least-squares weak Galerkin (LS-WG) finite element method for solving the Stokes equations on arbitrary polygonal and polyhedral meshes. By utilizing discrete weak der…
A Least-Squares Weak Galerkin Finite Element Scheme for Cauchy Problems in Helmholtz
Chunmei Wang, Shangyou Zhang
This paper introduces and rigorously analyzes a least-squares weak Galerkin (LS-WG) finite element method for the severely ill-posed Cauchy problem associated with the Helmholtz eq…
A Least-Squares Weak Galerkin Finite Element Scheme for Cauchy Problems in Convection--Diffusion
Chunmei Wang, Shangyou Zhang
We introduce and rigorously analyze a least-squares weak Galerkin (LS-WG) finite element method for the severely ill-posed Cauchy problem of convection--diffusion equations. The pr…