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math.NA2025
A posteriori error estimation for weak Galerkin method of the fourth-order singularly perturbed problem
Shicheng Liu, Qilong Zhai
In this paper, we present a posteriori error estimation for weak Galerkin method applied to fourth order singularly perturbed problem. The weak Galerkin discretization space and nu…
math.NA2025
The two-grid weak Galerkin method and enriched Crouzeix-Raviart element method for linear elastic eigenvalue problems
Wei Lu, Qilong Zhai
In this paper, we present a two-gird skill to accelerate the weak Galerkin method. By the proper use of parameters, the two-grid weak Galerkin method not only doubles the convergen…
math.NA2025
The Weak Galerkin and Crouzeix-Raviart element method for elastic eigenvalue problems
Wei Lu, Hehu Xie, Qilong Zhai
In this paper, we first introduce an abstract framework to solve the eigenvalue problem by weak Galerkin (WG) method. By the application of the framework, WG method is proved to be…