Energetic BEM for the Numerical Solution of 2D Damped Waves Propagation Exterior Problems

被引:0
作者
Aimi, A. [1 ]
Diligenti, M. [1 ]
Guardasoni, C. [1 ]
机构
[1] Univ Parma, Dept Math Phys & Comp Sci, Parma, Italy
来源
INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017) | 2018年 / 1978卷
关键词
Damped wave equation; exterior problems; hard scattering; energy; boundary element method;
D O I
10.1063/1.5043767
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The analysis of damping phenomena. that occur in many physics and engineering problems, reformulated in terms of boundary integral equations and solved via the boundary element method, is a novelty. In this context, we develop here an extension of the so-called energetic boundary element method. recently proposed in literature [1], for the numerical solution of damped waves propagation problems exterior to open arcs in the plane. Hard scattering analysis of 2D damped waves will be carried out directly in space-time domain. The presented numerical results confirm accuracy and stability of the proposed technique, already proved for the numerical treatment of undamped wave propagation problems in several dimensions [2, 3, 4] and for the 1D damped case [5, 6, 7].
引用
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页数:4
相关论文
共 7 条
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Aimi, A. ;
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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2009, 80 (09) :1196-1240
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NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2014, 30 (06) :2042-2082