A time-stepping scheme based on numerical Green's functions for the domain boundary element method: The ExGA-DBEM Newmark approach

被引：8

作者：

Oyarzun, P. ^{[1
,3
]}

Loureiro, F. S. ^{[1
]}

Carrer, J. A. M. ^{[2
]}

Mansur, W. J. ^{[1
]}

机构：

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

[2] Univ Fed Parana, PPGMNE, Programa Posgrad Metodos Numer Engn Civil, BR-81531990 Curitiba, Parana, Brazil

[3] Univ Austral Chile, Fac Ciencias Ingn, Inst Obras Civiles, Valdivia 5111187, Chile

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2011年 / 35卷 / 03期

关键词：

Scalar wave equation; D-BEM; Explicit Green's functions approach; Time integration; TRANSIENT ELASTODYNAMIC PROBLEMS; HEAT-CONDUCTION; BEM ANALYSIS; DRBEM;

D O I：

10.1016/j.enganabound.2010.08.015

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The present paper focuses on the development of a novel ExGA-based time-marching scheme applied to the scalar wave equation. The formulation of the domain boundary element method (D-BEM), characterized by the use of static fundamental solutions, preserves the domain integral of inertial terms giving rise to an equation similar to that provided by the finite element method after space discretization is carried out. This equation can be solved in time using time-stepping algorithms, such as Newmark or Houbolt methods. However, in this work Green's functions are explicitly calculated and then incorporated into a time-marching procedure, whose results show good accuracy and stability. Two typical examples are presented to illustrate the accuracy and stability of this approach. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：533 / 542

页数：10

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