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 26 条

[1] Initial conditions contribution in a BEM formulation based on the convolution quadrature method [J].

Abreu, A. I. ;

Mansur, W. J. ;

Carrer, J. A. M. .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2006, 67 (03) :417-434

[2]

Agnantiaris JP, 1996, COMPUT MECH, V17, P270

[3] Three-dimensional structural vibration analysis by the Dual Reciprocity BEM [J].

Agnantiaris, JP ;

Polyzos, D ;

Beskos, DE .

COMPUTATIONAL MECHANICS, 1998, 21 (4-5) :372-381

[4]

Bathe K, 1996, Finite Element Procedures

[5]

Beskos D.E., 1997, APPL MECH REV, V50, P149

[6]

Beskos DE, 2003, CISM COURSES LECT, P1

[7] Solution of the two-dimensional scalar wave equation by the time-domain boundary element method: Lagrange truncation strategy in time integration [J].

Carrer, JAM ;

Mansur, WJ .

STRUCTURAL ENGINEERING AND MECHANICS, 2006, 23 (03) :263-278

[8] Alternative time-marching schemes for elastodynamic analysis with the domain boundary element method formulation [J].

Carrer, JAM ;

Mansur, WJ .

COMPUTATIONAL MECHANICS, 2004, 34 (05) :387-399

[9] Time-dependent fundamental solution generated by a not impulsive source in the boundary element method analysis of the 2D scalar wave equation [J].

Carrer, JAM ;

Mansur, WJ .

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 2002, 18 (04) :277-285

[10]

Carrer JAM, 1996, INT J NUMER METH ENG, V39, P2169, DOI 10.1002/(SICI)1097-0207(19960715)39:13<2169::AID-NME949>3.0.CO

← 1 2 3 →