Accuracy in modeling the acoustic wave equation with Chebyshev spectral finite elements

被引：77

作者：

Dauksher, W ^{[1
]}

Emery, AF ^{[1
]}

机构：

[1] UNIV WASHINGTON,DEPT MECH ENGN,SEATTLE,WA 98195

来源：

FINITE ELEMENTS IN ANALYSIS AND DESIGN | 1997年 / 26卷 / 02期

关键词：

Chebyshev spectral finite elements; wave equation; error analysis; dispersion;

D O I：

10.1016/S0168-874X(96)00075-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A quantitative study of dispersion in Chebyshev spectral finite element solutions to the one- and two-dimensional scalar wave equations is presented. The spectral elements employ central time differencing and three mass matrix treatments: consistent, row-summed and diagonal-scaled. The one-dimensional axisymmetric wave equation is also formulated and solved with Chebyshev spectral elements. The computationally efficient, row-summed mass matrix formulation is shown to exhibit minimal dispersion. One- and two-dimensional examples highlight the effects of dispersion.

引用

页码：115 / 128

页数：14

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