Convolution quadrature Galerkin boundary element method for the wave equation with reduced quadrature weight computation

被引：5
作者：
Chappell, David J. [1 ]
机构：
[1] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England
来源：
IMA JOURNAL OF NUMERICAL ANALYSIS | 2011年 / 31卷 / 02期
关键词：
boundary element method; wave equation; convolution quadrature; DISCRETIZED OPERATIONAL CALCULUS; TIME MARCHING METHODS; INTEGRAL-EQUATIONS; SCATTERING; STABILITY; PROPAGATION; FORMULATION; BEM;
D O I：
10.1093/imanum/drp045
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The numerical solution of the wave equation on three-dimensional domains is calculated using the convolution quadrature method for the time discretization and a Galerkin boundary element method for the space discretization. A computation-reduction strategy is developed whose parameters are given by an a priori error analysis. This gives a maximum for the number of discrete convolution matrices that must be computed when a particular time step is employed. Numerical examples are then presented to illustrate the predicted convergence results and the practicality of the methods.
引用
收藏
页码：640 / 666
页数：27
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