A HIERARCHICAL P-VERSION BOUNDARY-ELEMENT METHOD FOR AXISYMMETRICAL ACOUSTIC SCATTERING AND RADIATION

被引：17

作者：

GRANNELL, JJ ^{[1
]}

SHIRRON, JJ ^{[1
]}

COUCHMAN, LS ^{[1
]}

机构：

[1] USN,RES LAB,WASHINGTON,DC 20375

来源：

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA | 1994年 / 95卷 / 05期

关键词：

D O I：

10.1121/1.409867

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

A rapidly convergent boundary-element method that has a high-accuracy capability is developed for the solution of the exterior Neumann problem for the Helmholtz equation. The approach makes use of the boundary-operator combination idea of Burton and Miller [A. J. Burton and G. F. Miller, Proc. R. Soc. London Ser. A 323, 201-210 (1971)] to avoid the classical irregular frequency difficulties together with p-version boundary elements to obtain a high rate of convergence. The entire algorithm is designed to be fully hierarchic to minimize the cost of multiple solutions, which are necessary for a posteriori assessment of accuracy. A new hierarchic singular-kernel quadrature rule is developed for this purpose. Numerical examples demonstrate the accuracy and convergence rate of the method.

引用

页码：2320 / 2329

页数：10

共 42 条

[1]

Abramowitz M., 1970, HDB MATH FUNCTIONS

[2] P-ADAPTIVE BOUNDARY ELEMENTS [J].