Absorbing Boundary Conditions for Hyperbolic Systems

被引：16

作者：

Ehrhardt, Matthias ^{[1
]}

机构：

[1] Berg Univ Wuppertal, Lehrstuhl Angew Math & Numer Anal, Fachbereich C Math & Nat Wissensch, D-42119 Wuppertal, Germany

来源：

NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS | 2010年 / 3卷 / 03期

关键词：

Absorbing boundary conditions; hyperbolic system; Engquist and Majda approach; strict well-posedness; GKS-stability; PERFECTLY MATCHED LAYERS; INDEPENDENT STABILITY-CRITERIA; LINEARIZED EULER EQUATIONS; TIME-DEPENDENT PROBLEMS; DIFFERENCE APPROXIMATIONS; HIGH-ORDER; WAVE-EQUATION; NUMERICAL-SIMULATION; RADIATION CONDITIONS; SCHEMES;

D O I：

10.4208/nmtma.2010.33.3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with absorbing boundary conditions for hyperbolic systems in one and two space dimensions. We prove the strict well-posedness of the resulting initial boundary value problem in 1D. Afterwards we establish the GKS-stability of the corresponding Lax-Wendroff-type finite difference scheme. Hereby, we have to extend the classical proofs, since the (discretized) absorbing boundary conditions do not fit the standard form of boundary conditions for hyperbolic systems.

引用

页码：295 / 337

页数：43

共 103 条

[1] On the construction and analysis of absorbing layers in CEM [J].