On the rate of convergence of Schwarz waveform relaxation methods for the time-dependent Schrodinger equation

被引：6

作者：

Antoine, X. ^{[1
]}

Lorin, E. ^{[2
,3
]}

机构：

[1] Univ Lorraine, UMR CNRS 7502, Inst Elie Cartan Lorraine, Inria Nancy Grand Est,SPHINX Team, F-54506 Vandoeuvre Les Nancy, France

[2] Univ Montreal, Ctr Rech Math, Montreal, PQ H3T 1J4, Canada

[3] Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2019年 / 354卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Schrodinger equation; Domain decomposition method; Pseudo-differential operator calculus; ABSORBING BOUNDARY-CONDITIONS; DOMAIN DECOMPOSITION METHODS; LINEAR SCHRODINGER; NUMERICAL-SIMULATION; DIRICHLET-NEUMANN;

D O I：

10.1016/j.cam.2018.12.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is dedicated to the analysis of the rate of convergence of the classical and quasi-optimal Schwarz waveform relaxation (SWR) method for solving the linear Schrodinger equation with space-dependent potential. The strategy is based on i) the rewriting of the SWR algorithm as a fixed point algorithm in frequency space, and ii) the explicit construction of contraction factors thanks to pseudo-differential calculus. Some numerical experiments illustrating the analysis are also provided. (C) 2018 Published by Elsevier B.V.

引用

页码：15 / 30

页数：16

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