Absorbing Boundary Conditions for Hyperbolic Systems

被引：0

作者：

Matthias Ehrhardt ^{[1
]}

机构：

[1] Lehrstuhl für Angewandte Mathematik und Numerische Analysis,Fachbereich C Mathematik und Naturwissenschaften,Bergische Universitt Wuppertal,Gaufβstrasse 20,42119 Wuppertal,Germany

来源：

NumericalMathematics:Theory,MethodsandApplications | 2010年 / 03期

关键词：

Absorbing boundary conditions; hyperbolic system; Engquist and Majda approach; strict well-posedness; GKS-stability;

D O I：

暂无

中图分类号：

O175.27 [双曲型方程];

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 50 条

[1] Absorbing Boundary Conditions for Hyperbolic Systems
Ehrhardt, Matthias
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2010, 3 (03) : 295 - 337
[2] Boundary conditions for hyperbolic equations or systems
Gallouët, T
NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS, PROCEEDINGS, 2004, : 39 - 55
[3] BOUNDARY STABILIZATION OF HYPERBOLIC SYSTEMS WITH NO DISSIPATIVE CONDITIONS
SUN, SH
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1982, 20 (06) : 862 - 883
[4] Absorbing boundary conditions
Hu, FQ
INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS, 2004, 18 (06) : 513 - 522
[5] Discretely nonreflecting boundary conditions for linear hyperbolic systems
Rowley, CW
Colonius, T
JOURNAL OF COMPUTATIONAL PHYSICS, 2000, 157 (02) : 500 - 538
[6] Nonlinear and linear hyperbolic systems with dynamic boundary conditions
Gilbert Peralta
Georg Propst
Bulletin of the Brazilian Mathematical Society, New Series, 2016, 47 : 671 - 683
[7] On a class of nonlinear hyperbolic systems with nonlocal boundary conditions
Luca, R
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 256 (02) : 375 - 404
[8] Boundary conditions for hyperbolic systems with stiff source terms
Yong, WA
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1999, 48 (01) : 115 - 137
[9] Boundary conditions for hyperbolic systems of partial differentials equations
Guaily, Amr G.
Epstein, Marcelo
JOURNAL OF ADVANCED RESEARCH, 2013, 4 (04) : 321 - 329
[10] Exponential dichotomy for hyperbolic systems with periodic boundary conditions
Klyuchnyk, R.
Kmit, I.
Recke, L.
JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 262 (03) : 2493 - 2520

← 1 2 3 4 5 →