23 citations · 105 across the 56 of their papers we have counts for
6 papers · 1 filter
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…
L1 scheme for solving an inverse problem subject to a fractional diffusion equation
Binjie Li, Xiaoping Xie, Yubin Yan
This paper considers the temporal discretization of an inverse problem subject to a time fractional diffusion equation. Firstly, the convergence of the L1 scheme is established wit…
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})-…
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…
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…
Discontinuous Galerkin method for a distributed optimal control problem governed by a time fractional diffusion equation
Tao Wang, Binjie Li, Xiaoping Xie
This paper is devoted to the numerical analysis of a control constrained distributed optimal control problem subject to a time fractional diffusion equation with non-smooth initial…