EXACT NONREFLECTING BOUNDARY-CONDITIONS FOR THE TIME-DEPENDENT WAVE-EQUATION

被引：154

作者：

GROTE, MJ

KELLER, JB

机构：

[1] STANFORD UNIV,DEPT MATH,STANFORD,CA 94305

[2] STANFORD UNIV,DEPT MECH ENGN,STANFORD,CA 94305

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1995年 / 55卷 / 02期

关键词：

WAVE PROPAGATION; EXACT BOUNDARY CONDITIONS; ABSORBING BOUNDARY CONDITIONS; NUMERICAL METHODS; SCATTERING THEORY;

D O I：

10.1137/S0036139993269266

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An exact nonreflecting boundary condition is derived for solutions of the time dependent wave equation in three space dimensions. It holds on a spherical artificial boundary and is local in time, but nonlocal in space. It can be reduced to a boundary condition local in space and time for solutions consisting of a finite number of spherical harmonics. The boundary condition is related to the Dirichlet-to-Neumann boundary condition for the Helmholtz equation. It can be used in scattering problems as well as in problems involving nonlinearity in a bounded region of space.

引用

页码：280 / 297

页数：18