Analytical moment expression for linear element in diagonal form fast multipole boundary element method

被引：2

作者：

Wu, Haijun ^{[1
]}

Jiang, Weikang ^{[1
]}

Lu, Wenbo ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, State Key Lab Machinery Syst & Vibrat, Shanghai 200240, Peoples R China

来源：

JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY | 2011年 / 25卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Analytical moments; Linear element; Fast multipole method; Acoustics; SCATTERING; ALGORITHM;

D O I：

10.1007/s12206-011-0427-7

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The moment of diagonal form fast multipole boundary element for the Helmholtz equation in essence is the surface integration of exponential function on an element. In this paper, the moment for a linear triangular element can be integrated analytically by transforming the coordinates from global Cartesian coordinates to local area coordinates. The derived analytical moment evaluation is compared with the classical numerical calculation, and results show that analytical method makes the moment calculation efficient, stable, and accurate.

引用

页码：1711 / 1715

页数：5

共 11 条

[1] Brebbia C.A., 1989, BOUNDARY ELEMENTS
[2] COIFMAN R, 1993, ANTENNAS PROPAGATION, V35, P7
[3] A FAST ALGORITHM FOR PARTICLE SIMULATIONS
GREENGARD, L
ROKHLIN, V
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1987, 73 (02) : 325 - 348
[4] Greengard L., 1988, The Rapid Evaluation of Potential Fields in Particle Systems
[5] NUMERICAL-INTEGRATION ON A TRIANGLE
HILLION, P
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1977, 11 (05) : 797 - 815
[6] Diagonal forms of the translation operators in the fast multipole algorithm for scattering, problems
Rahola, J
[J]. BIT, 1996, 36 (02): : 333 - 358
[7] ROHKLIN V, 1985, J COMPUT PHYS, V60, P187
[8] RAPID SOLUTION OF INTEGRAL-EQUATIONS OF SCATTERING-THEORY IN 2 DIMENSIONS
ROKHLIN, V
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1990, 86 (02) : 414 - 439
[9] Rokhlin V., 1993, Applied and Computational Harmonic Analysis, V1, P82, DOI 10.1006/acha.1993.1006
[10] An adaptive fast multipole boundary element method for three-dimensional acoustic wave problems based on the Burton-Miller formulation
Shen, L.
Liu, Y. J.
[J]. COMPUTATIONAL MECHANICS, 2007, 40 (03) : 461 - 472

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