Non-reflecting boundary conditions for the two-dimensional Schrodinger equation

被引：39

作者：

Schädle, A ^{[1
]}

机构：

[1] Univ Tubingen, Math Inst, D-72076 Tubingen, Germany

来源：

WAVE MOTION | 2002年 / 35卷 / 02期

关键词：

D O I：

10.1016/S0165-2125(01)00098-1

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

Non-reflecting boundary conditions are introduced for the two-dimensional Fresnel/Schrodinger equation. These are nonlocal in time and in space. Time discretization is done by the trapezoidal rule in the interior and by convolution quadrature on the boundary. A convergence estimate is given for the semidiscretization. Space discretization is done using the finite element method and coupling the boundary conditions by collocation. A numerical example is given. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：181 / 188

页数：8

共 18 条

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