23 citations · 105 across the 56 of their papers we have counts for
5 papers · 1 filter
Extended HDG methods for second order elliptic interface problems
Yihui Han, Huangxin Chen, Xiao-Ping Wang +1
In this paper, we propose two arbitrary order eXtended hybridizable Discontinuous Galerkin (X-HDG) methods for second order elliptic interface problems in two and three dimensions.…
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}…
Convergence analysis of a Petrov-Galerkin method for fractional wave problems with nonsmooth data
Hao Luo, Binjie Li, Xiaoping Xie
This paper analyzes the convergence of a Petrov-Galerkin method for time fractional wave problems with nonsmooth data. Well-posedness and regularity of the weak solution to the tim…