Numerical solution of two-dimensional nonlinear Schrödinger equation using a new two-grid finite element method

Volume: 364, Pages: 112333 - 112333
Published: Jan 1, 2020
Abstract
A new two-grid finite element scheme is presented for two-dimensional nonlinear Schrödinger equation. One Newton iteration is applied on the fine grid to linearize the nonlinear system using the coarse-grid solution as the initial guess, and furthermore one more linear system on the coarse space is solved. The error estimations of the two-grid solution in the L2 and H1 norm are given. It is shown, both theoretically and numerically, that the...
Paper Details
Title
Numerical solution of two-dimensional nonlinear Schrödinger equation using a new two-grid finite element method
Published Date
Jan 1, 2020
Volume
364
Pages
112333 - 112333
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