An introductory study of the convergence of the direct
                boundary element method

Peter Møller Juhl

An introductory study of the convergence of the direct boundary element method

Peter Møller Juhl

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Abstract

Although boundary element methods have been used for three decades for the numerical solution of acoustic problems, the issue of convergence is not well known among acoustic engineers. In this paper the concept of convergence is introduced in an intuitive and empirical style. The convergence of an axisymmetric boundary element formulation is studied using linear, quadratic or superparametric elements. It is demonstrated that the rate of convergence of these formulations is reduced for calculations involving bodies with edges (geometric singularities). Two methods for improving the rate of convergence for these cases are suggested and examined.

Original language	English
Title of host publication	Proceedings of the Fifth International Congress on Sound and Vibration
Place of Publication	Auburn, AL
Publisher	The International Institute of Acoustics and Vibration
Publication date	1997
Pages	825-832
Publication status	Published - 1997
Event	5th International Congress on Sound and Vibration - Adelaide, Australia Duration: 15 Dec 1997 → 18 Dec 1997 Conference number: 5

Conference

Conference	5th International Congress on Sound and Vibration
Number	5
Country/Territory	Australia
City	Adelaide
Period	15/12/1997 → 18/12/1997

OpenUrl availability

Full text

Cite this

@inproceedings{ab4f60d2f2f64f3db1294ecf24c34f0e,

title = "An introductory study of the convergence of the direct boundary element method",

abstract = "Although boundary element methods have been used for three decades for the numerical solution of acoustic problems, the issue of convergence is not well known among acoustic engineers. In this paper the concept of convergence is introduced in an intuitive and empirical style. The convergence of an axisymmetric boundary element formulation is studied using linear, quadratic or superparametric elements. It is demonstrated that the rate of convergence of these formulations is reduced for calculations involving bodies with edges (geometric singularities). Two methods for improving the rate of convergence for these cases are suggested and examined.",

author = "Juhl, {Peter M{\o}ller}",

year = "1997",

language = "English",

pages = "825--832",

booktitle = "Proceedings of the Fifth International Congress on Sound and Vibration",

publisher = "The International Institute of Acoustics and Vibration",

note = "5th International Congress on Sound and Vibration ; Conference date: 15-12-1997 Through 18-12-1997",

}

Juhl, PM 1997, An introductory study of the convergence of the direct boundary element method. in Proceedings of the Fifth International Congress on Sound and Vibration. The International Institute of Acoustics and Vibration, Auburn, AL, pp. 825-832, 5th International Congress on Sound and Vibration, Adelaide, Australia, 15/12/1997.

An introductory study of the convergence of the direct boundary element method. / Juhl, Peter Møller.
Proceedings of the Fifth International Congress on Sound and Vibration. Auburn, AL: The International Institute of Acoustics and Vibration, 1997. p. 825-832.

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

TY - GEN

T1 - An introductory study of the convergence of the direct boundary element method

AU - Juhl, Peter Møller

N1 - Conference code: 5

PY - 1997

Y1 - 1997

N2 - Although boundary element methods have been used for three decades for the numerical solution of acoustic problems, the issue of convergence is not well known among acoustic engineers. In this paper the concept of convergence is introduced in an intuitive and empirical style. The convergence of an axisymmetric boundary element formulation is studied using linear, quadratic or superparametric elements. It is demonstrated that the rate of convergence of these formulations is reduced for calculations involving bodies with edges (geometric singularities). Two methods for improving the rate of convergence for these cases are suggested and examined.

AB - Although boundary element methods have been used for three decades for the numerical solution of acoustic problems, the issue of convergence is not well known among acoustic engineers. In this paper the concept of convergence is introduced in an intuitive and empirical style. The convergence of an axisymmetric boundary element formulation is studied using linear, quadratic or superparametric elements. It is demonstrated that the rate of convergence of these formulations is reduced for calculations involving bodies with edges (geometric singularities). Two methods for improving the rate of convergence for these cases are suggested and examined.

M3 - Article in proceedings

SP - 825

EP - 832

BT - Proceedings of the Fifth International Congress on Sound and Vibration

PB - The International Institute of Acoustics and Vibration

CY - Auburn, AL

T2 - 5th International Congress on Sound and Vibration

Y2 - 15 December 1997 through 18 December 1997

ER -