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

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

In this paper, we construct a new two-grid algorithm of the finite element method for the Schrödinger equation in backward Euler and Crank–Nicolson fully discrete schemes. On the coarser grid, we solve coupled real and imaginary parts of the Schrödinger equation. On the fine grid, real and imaginary...

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Bibliographic Details
Main Authors: Jianyun Wang, Zixin Zhong, Zhikun Tian, Ying Liu
Format: Article
Language:English
Published: MDPI AG 2024-02-01
Series:Mathematics
Subjects:
two-grid algorithm
Schrödinger equation
finite element method
backward Euler scheme
Crank–Nicolson scheme
Online Access:https://www.mdpi.com/2227-7390/12/5/726

Internet

https://www.mdpi.com/2227-7390/12/5/726

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