首页|Nitsche-XFEM for a time fractional diffusion interface problem
Nitsche-XFEM for a time fractional diffusion interface problem
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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.