FINITE-ELEMENT DISPERSION ANALYSIS FOR THE 3-DIMENSIONAL 2ND-ORDER SCALAR WAVE-EQUATION

被引：54

作者：

ABBOUD, NN ^{[1
]}

PINSKY, PM ^{[1
]}

机构：

[1] STANFORD UNIV,DEPT CIVIL ENGN,STANFORD,CA 94305

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 1992年 / 35卷 / 06期

关键词：

D O I：

10.1002/nme.1620350604

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The dispersive properties of finite element semidiscretizations of the three-dimensional second-order scalar wave equation are examined for both plane and spherical waves. This analysis throws light on the performance and limitations of the finite element approximation over the entire spectrum of wavenumbers and provides guidance for optimal mesh discretization as well as mass representation. The 8-node trilinear element, 20-node serendipity element, 27-node triquadratic element and the linear and quadratic spherically symmetric elements are considered.

引用

页码：1183 / 1218

页数：36

共 28 条

[1]

Abboud N. N., 1990, APPL MECH REV 2, V43, P381

[2]

ABBOUD NN, 1990, THESIS STANFORD U ST

[3] SPURIOUS REFLECTION OF ELASTIC-WAVES IN NONUNIFORM MESHES OF CONSTANT AND LINEAR STRAIN FINITE-ELEMENTS [J].