ABSTRACT
This paper concerns with the superconvergence analysis of a new mixed finite element method (MFEM) with element pair () for time-dependent nonlinear Schrödinger equation(NLSE). Based on the special characters of this element pair and the superclose estimate between the interpolation and projection operators in
-norm together with a simple interpolation postprocessing approach, the superclose and global superconvergence results of the original and the flux variable are deduced for a linearized backward Euler fully-discrete scheme. Finally, some numerical results are provided to confirm the theoretical analysis.
Disclosure statement
No potential conflict of interest was reported by the authors.