5 citations · 17 across the 13 of their papers we have counts for
9 papers · 1 filter
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…
Numerical analysis of a semilinear fractional diffusion equation
Binjie Li, Tao Wang, Xiaoping Xie
This paper considers the numerical analysis of a semilinear fractional diffusion equation with nonsmooth initial data. A new Grönwall's inequality and its discrete version are prop…
Analysis of a time-stepping discontinuous Galerkin method for fractional diffusion-wave equation with nonsmooth data
Binjie Li, Tao Wang, Xiaoping Xie
This paper analyzes a time-stepping discontinuous Galerkin method for fractional diffusion-wave problems. This method uses piecewise constant functions in the temporal discretizati…
Analysis of the L1 scheme for fractional wave equations with nonsmooth data
Binjie Li, Tao Wang, Xiaoping Xie
This paper analyzes the well-known L1 scheme for fractional wave equations with nonsmooth data. A new stability estimate is obtained, and the temporal accuracy $ \mathcal O(τ^{3-α}…
A Nitsche-eXtended finite element method for distributed optimal control problems of elliptic interface equations
Tao Wang, Chaochao Yang, Xiaoping Xie
This paper analyzes an interface-unfitted numerical method for distributed optimal control problems governed by elliptic interface equations. We follow the variational discretizati…
An interface-unfitted finite element method for elliptic interface optimal control problem
Chao Chao Yang, Tao Wang, Xiaoping Xie
This paper develops and analyses numerical approximation for linear-quadratic optimal control problem governed by elliptic interface equations. We adopt variational discretization…
Nitsche-XFEM for optimal control problems governed by elliptic PDEs with interfaces
Tao Wang, Chaochao Yang, Xiaoping Xie
For the optimal control problem governed by elliptic equations with interfaces, we present a numerical method based on the Hansbo's Nitsche-XFEM. We followed the Hinze's variationa…
Extended finite element methods for optimal control problems governed by Poisson equation in non-convex domains
Tao Wang, Chao Chao Yang, Xiaoping Xie
This paper analyzes two eXtended finite element methods (XFEMs) for linear quadratic optimal control problems governed by Poisson equation in non-convex domains. We follow the vari…