Volume 5, Issue 2
Two-Grid Finite-Element Method for the Two-Dimensional Time-Dependent Schrödinger Equation

Hongmei Zhang ,  Jicheng Jin and Jianyun Wang

10.4208/aamm.12-m1206

Adv. Appl. Math. Mech., 5 (2013), pp. 180-193.

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  • 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 Schrodinger 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.

  • History

Published online: 2013-05

  • AMS Subject Headings

65N30, 65N55

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