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Two-Grid Finite-Element Method for the Two-Dimensional Time-Dependent Schrödinger Equation

Two-Grid Finite-Element Method for the Two-Dimensional Time-Dependent Schrödinger Equation
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Year:    2013

Author:    Hongmei Zhang, Jicheng Jin, Jianyun Wang

Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 2 : pp. 180–193

Abstract

In this paper, we construct semi-discrete two-grid finite element schemes and full-discrete two-grid finite element schemes for the two-dimensional time-dependent Schrödinger equation. The semi-discrete schemes are proved to be convergent with an optimal convergence order and the full-discrete schemes, verified by a numerical example, work well and are more efficient than the standard finite element method.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.12-m1206

Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 2 : pp. 180–193

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Schrödinger equation two-grid method finite element method.

Author Details

Hongmei Zhang

Jicheng Jin

Jianyun Wang

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