activity
20172021
most citedExtended HDG methods for second order elliptic interface problems

2 citations · 3 across the 6 of their papers we have counts for

collaborators

12 papers

eess.IV20211 cited

NFCNN: Toward a Noise Fusion Convolutional Neural Network for Image Denoising

Maoyuan Xu, Xiaoping Xie

Deep learning based methods have achieved the state-of-the-art performance in image denoising. In this paper, a deep learning based denoising method is proposed and a module called…

math.NA2021

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…

math.NA2020

An eXtended HDG method for Darcy-Stokes-Brinkman interface problems

Yihui Han, Xiao-Ping Wang, Xiaoping Xie

This paper proposes an interface/boundary-unfitted eXtended hybridizable discontinuous Galerkin (X-HDG) method for Darcy-Stokes-Brinkman interface problems in two and three dimensi…

math.NA2020

High order mixed finite elements with mass lumping for elasticity on triangular grids

Yan Yang, Xiaoping Xie

A family of conforming mixed finite elements with mass lumping on triangular grids are presented for linear elasticity. The stress field is approximated by symmetric $H({\rm div})-…

math.NA2020

An interface/boundary-unfitted eXtended HDG method for linear elasticity problems

Yihui Han, Xiao-Ping Wang, Xiaoping Xie

An interface/boundary-unfitted eXtended hybridizable discontinuous Galerkin (X-HDG) method of arbitrary order is proposed for linear elasticity interface problems on unfitted meshe…

math.NA2020

Numerical analysis of two Galerkin discretizations with graded temporal grids for fractional evolution equations

Binjie Li, Tao Wang, Xiaoping Xie

Two numerical methods with graded temporal grids are analyzed for fractional evolution equations. One is a low-order discontinuous Galerkin (DG) discretization in the case of fract…