An energy approach to space-time Galerkin BEM for wave propagation problems

被引：50
作者：
Aimi, A. [1 ]
Diligenti, M. [1 ]
Guardasoni, C. [2 ]
Mazzieri, I. [3 ]
Panizzi, S. [1 ]
机构：
[1] Univ Parma, Dept Math, I-43100 Parma, Italy
[2] Univ Milan, Dept Math, Milan, Italy
[3] Politecn Milan, Dept Math, I-20133 Milan, Italy
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2009年 / 80卷 / 09期
关键词：
wave propagation; energy identity; boundary integral equation; weak formulation; Galerkin boundary element method; BOUNDARY-VALUE-PROBLEMS; CONVOLUTION QUADRATURE; NUMERICAL-INTEGRATION; SCATTERING; DIFFRACTION; FORMULATION; EQUATION; CRACK;
D O I：
10.1002/nme.2660
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper we consider Dirichlet or Neumann wave propagation problems reformulated in terms of boundary integral equations with retarded potential. Starting from a natural energy identity, a space-time weak formulation for I D integral problems is briefly introduced, and continuity and coerciveness properties of the related bilinear form are proved. Then, a theoretical analysis of an extension of the introduced formulation for 2D problems is proposed, pointing out the novelty with respect to existing literature results. At last, various numerical simulations will be presented and discussed, showing unconditional stability of the space-time Galerkin boundary element method applied to the energetic weak problem. Copyright (C) 2009 John Wiley & Sons, Ltd.
引用
收藏
页码：1196 / 1240
页数：45
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