TY - JOUR
T1 - A Two-Grid Finite-Element Method for the Nonlinear Schrödinger Equation
AU - Jin , Jicheng
AU - Wei , Ning
AU - Zhang , Hongmei
JO - Journal of Computational Mathematics
VL - 2
SP - 146
EP - 157
PY - 2015
DA - 2015/04
SN - 33
DO - http://doi.org/10.4208/jcm.1409-m4323
UR - https://global-sci.org/intro/article_detail/jcm/9833.html
KW - Nonlinear Schrödinger equation, Finite element method, Two-grid
AB - <p style="text-align: justify;">In this paper, some two-grid finite element schemes are constructed for solving the nonlinear Schrödinger equation. With these schemes, the solution of the original problem is reduced to the solution of the same problem on a much coarser grid together with the solutions of two linear problems on a fine grid. We have shown, both theoretically and numerically, that our schemes are efficient and achieve asymptotically optimal accuracy.</p>