132 citations · 497 across the 66 of their papers we have counts for
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Superconvergence Points For The Spectral Interpolation Of Riesz Fractional Derivatives
Beichuan Deng, Zhimin Zhang, Xuan Zhao
In this paper, superconvergence points are located for the approximation of the Riesz derivative of order using classical Lobatto-type polynomials when and general…
Acceleration of weak Galerkin methods for the Laplacian eigenvalue problem
Qilong Zhai, Hehu Xie, Ran Zhang +1
Recently, we proposed a weak Galerkin finite element method for the Laplace eigenvalue problem. In this paper, we present two-grid and two-space skills to accelerate the weak Galer…
An efficient spectral-Galerkin approximation and error analysis for Maxwell transmission eigenvalue problems in spherical geometries
Jing An, zhimin Zhang
We propose and analyze an efficient spectral-Galerkin approximation for the Maxwell transmission eigenvalue problem in spherical geometry. Using a vector spherical harmonic expansi…
Superconvergence analysis of linear FEM based on the polynomial preserving recovery and Richardson extrapolation for Helmholtz equation with high wave number
Yu Du, Haijun Wu, Zhimin Zhang
We study superconvergence property of the linear finite element method with the polynomial preserving recovery (PPR) and Richardson extrapolation for the two dimensional Helmholtz…
Superconvergence analysis of partially penalized immersed finite element method
Hailong Guo, Xu Yang, Zhimin Zhang
The contribution of this paper contains two parts: first, we prove a supercloseness result for the partially penalized immersed finite element (PPIFE) method in [T. Lin, Y. Lin, an…
Superconvergence of immersed finite volume methods for one-dimensional interface problems
Waixiang Cao, Xu Zhang, Zhimin Zhang +1
In this paper, we introduce a class of high order immersed finite volume methods (IFVM) for one-dimensional interface problems. We show the optimal convergence of IFVM in H1 and L2…