Scalar wave equation by the boundary element method: a D-BEM approach with non-homogeneous initial conditions

被引：17

作者：

Carrer, J. A. M. ^{[1
]}

Mansur, W. J. ^{[2
]}

Vanzuit, R. J. ^{[1
]}

机构：

[1] Univ Fed Parana, Programa Posgrad Metodos Numericos Engn, BR-81531990 Curitiba, Parana, Brazil

[2] Univ Fed Rio de Janeiro, COPPE, Programa Engn Civil, BR-21945970 Rio De Janeiro, Brazil

来源：

COMPUTATIONAL MECHANICS | 2009年 / 44卷 / 01期

关键词：

Boundary element method; Scalar wave equation; Initial conditions; D-BEM; DYNAMIC ELASTOPLASTIC ANALYSIS; DUAL RECIPROCITY BEM; TIME; TRUNCATION;

D O I：

10.1007/s00466-008-0353-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This work is concerned with the development of a D-BEM approach to the solution of 2D scalar wave propagation problems. The time-marching process can be accomplished with the use of the Houbolt method, as usual, or with the use of the Newmark method. Special attention was devoted to the development of a procedure that allows for the computation of the initial conditions contributions. In order to verify the applicability of the Newmark method and also the correctness of the expressions concerned with the computation of the initial conditions contributions, four examples are presented and the D-BEM results are compared with the corresponding analytical solutions.

引用

页码：31 / 44

页数：14

共 32 条

[1] Scalar wave equation by the boundary element method: a D-BEM approach with non-homogeneous initial conditions
J. A. M. Carrer
W. J. Mansur
R. J. Vanzuit
Computational Mechanics, 2009, 44
[2] Scalar wave equation by the boundary element method: A D-BEM approach with constant time-weighting functions
Carrer, J. A. M.
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[3] Transient heat conduction by the boundary element method: D-BEM approaches
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[4] Numerical solution of scalar wave equation by the modified radial integration boundary element method
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[8] 2.5D elastic wave propagation in non-homogeneous media coupling the BEM and MLPG methods
Tadeu, A.
Stanak, P.
Antonio, J.
Sladek, J.
Sladek, V.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2015, 53 : 86 - 99
[9] Filling simulation of the RTM process in isotropic homogeneous/non-homogeneous media using the boundary element method
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[10] Time-domain BEM analysis for the 2D scalar wave equation: Initial conditions contributions to space and time derivatives
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