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A Two-Grid Finite-Element Method for the Nonlinear Schrödinger Equation

A Two-Grid Finite-Element Method for the Nonlinear Schrödinger Equation
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Year:    2015

Author:    Jicheng Jin, Ning Wei, Hongmei Zhang

Journal of Computational Mathematics, Vol. 33 (2015), Iss. 2 : pp. 146–157

Abstract

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.1409-m4323

Journal of Computational Mathematics, Vol. 33 (2015), Iss. 2 : pp. 146–157

Published online:    2015-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Nonlinear Schrödinger equation Finite element method Two-grid

Author Details

Jicheng Jin

Ning Wei

Hongmei Zhang

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