23 citations · 105 across the 56 of their papers we have counts for
7 papers · 2 filters
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…
Error estimation of a discontinuous Galerkin method for time fractional subdiffusion problems with nonsmooth data
Binjie Li, Hao Luo, Xiaoping Xie
This paper is devoted to the numerical analysis of a piecewise constant discontinuous Galerkin method for time fractional subdiffusion problems. The regularity of weak solution is…
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…
Analysis of a time-stepping scheme for time fractional diffusion problems with nonsmooth data
Binjie Li, Hao Luo, Xiaoping Xie
This paper establishes the convergence of a time-steeping scheme for time fractional diffusion problems with nonsmooth data. We first analyze the regularity of the model problem wi…
A space-time finite element method for fractional wave problems
Binjie Li, Hao Luo, Xiaoping Xie
This paper analyzes a space-time finite element method for fractional wave problems. The method uses a Petrov-Galerkin type time-stepping scheme to discretize the time fractional d…