摘要
In this paper, we propose a space-time finite element method for a time fractional diffusion interface problem. This method uses the low-order discontinuous Galerkin(DG) method and the Nitsche extended finite element method(Nitsche-XFEM) for temporal and spatial discretization, respectively. Sharp pointwise-in-time error estimates in graded temporal grids are derived, without any smoothness assumptions on the solution.Finally, three numerical examples are provided to verify the theoretical results.
基金
supported by the China Postdoctoral Science Foundation (Grant No. 2019M662947)
supported by the State Key Program of National Natural Science Foundation of China (Grant No. 11931003)
National Natural Science Foundation of China (Grant Nos. 41974133 and 12126325)。
