A proof of the well posedness of discretized wave equation with an absorbing boundary condition

被引：3

作者：

Alonso-Mallo, I. ^{[1
]}

Portillo, A. M. ^{[1
]}

机构：

[1] Univ Valladolid, IMUVA, Valladolid, Spain

来源：

JOURNAL OF NUMERICAL MATHEMATICS | 2014年 / 22卷 / 04期

关键词：

wave equation; absorbing boundary conditions; well posedness; time stability; SCHRODINGER-TYPE EQUATIONS; ERROR ANALYSIS; STABILITY;

D O I：

10.1515/jnma-2014-0012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Local absorbing boundary conditions with fifth order of absorption to approximate the solution of an initial value problem, for the spatially discretized wave equation, are considered. For the one dimensional case, it is proved necessary conditions for well posedness. Numerical experiments confirming well posedness and showing good results of absorption are included.

引用

页码：271 / 287

页数：17

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