2 citations · 4 across the 9 of their papers we have counts for
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Analysis of a class of globally divergence-free HDG methods for stationary Navier-Stokes equations
Gang Chen, Xiaoping Xie
This paper analyzes a class of globally divergence-free (and therefore pressure-robust) hybridizable discontinuous Galerkin (HDG) finite element methods for stationary Navier-Stoke…
Semi-discrete and fully discrete weak Galerkin finite element methods for a quasistatic Maxwell viscoelastic model
Jihong Xiao, Zimo Zhu, Xiaoping Xie
This paper considers weak Galerkin finite element approximations for a quasistatic Maxwell viscoelastic model. The spatial discretization uses piecewise polynomials of degree $k \…
Optimal error estimation of a time-spectral method for fractional diffusion problems with low regularity data
Hao Luo, Xiaoping Xie
This paper is devoted to the error analysis of a time-spectral algorithm for fractional diffusion problems of order (). The solution regularity in the Sobolev space i…
Semi-discrete and fully discrete HDG methods for Burgers' equation
Zimo Zhu, Gang Chen, Xiaoping Xie
This paper proposes semi-discrete and fully discrete hybridizable discontinuous Galerkin (HDG) methods for the Burgers' equation in two and three dimensions. In the spatial discret…
Semi-discrete and fully discrete mixed finite element methods for Maxwell viscoelastic model of wave propagation
Hao Yuan, Xiaoping Xie
Semi-discrete and fully discrete mixed finite element methods are considered for Maxwell-model-based problems of wave propagation in linear viscoelastic solid. This mixed finite el…
An efficient feature-preserving PDE algorithm for image denoising based on a spatial-fractional anisotropic diffusion equation
Maoyuan Xu, Xiaoping Xie
How to effectively remove the noise while preserving the image structure features is a challenging issue in the field of image denoising. In recent years, fractional PDE based meth…