ABSORBING BOUNDARY CONDITIONS FOR GENERAL NONLINEAR SCHRODINGER EQUATIONS

被引：53

作者：

Antoine, Xavier ^{[1
]}

Besse, Christophe ^{[2
]}

Klein, Pauline ^{[1
]}

机构：

[1] Nancy Univ, Inst Elie Cartan Nancy, INRIA CORIDA Team, CNRS UMR 7502, F-54506 Vandoeuvre Les Nancy, France

[2] Univ Lille 1 Sci & Technol, Univ Lille Nord France, INRIA SIMPAF Team, CNRS UMR 8524,Lab Paul Painleve, F-59655 Villeneuve Dascq, France

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2011年 / 33卷 / 02期

关键词：

absorbing boundary conditions; pseudodifferential operators; nonlinear Schrodinger equation with potential; stable semidiscrete schemes; fixed point algorithm; relaxation scheme; PERFECTLY MATCHED LAYER; NUMERICAL-SOLUTION; SCHEMES;

D O I：

10.1137/090780535

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper addresses the construction of different families of absorbing boundary conditions for the one- and two-dimensional Schrodinger equations with a general variable nonlinear potential. Various semidiscrete time schemes are built for the associated initial boundary value problems. Finally, some numerical simulations give a comparison of the various absorbing boundary conditions and associated schemes to analyze their accuracy and efficiency.

引用

页码：1008 / 1033

页数：26

共 35 条

[1] Numerical schemes for the simulation of the two-dimensional Schrodinger equation using non-reflecting boundary conditions [J].