A COLLOCATION METHOD WITH MODIFIED EQUILIBRIUM ON LINE METHOD FOR IMPOSITION OF NEUMANN AND ROBIN BOUNDARY CONDITIONS IN ACOUSTICS (TECHNICAL NOTE)

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SADEGHIRAD A.; MAHMOUDZADEH KANI I.; VAZIRI ASTANEH A.

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Journal Paper

Paper Information

Journal: International Journal of Engineering Year:2010 | Volume:23 | Issue:1 (TRANSACTIONS A: BASICS) Page(s): 11-22

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Title

A COLLOCATION METHOD WITH MODIFIED EQUILIBRIUM ON LINE METHOD FOR IMPOSITION OF NEUMANN AND ROBIN BOUNDARY CONDITIONS IN ACOUSTICS (TECHNICAL NOTE)

Author(s)

SADEGHIRAD A. | MAHMOUDZADEH KANI I. | VAZIRI ASTANEH A. | Issue Writer Certificate

Keywords

ACOUSTICS

HELMHOLTZ EQUATION

MESHLESS METHODS

COLLOCATION METHODS

MODIFIED EQUILIBRIUM ON LINE METHOD (MELM)

MOVING LEAST SQUARES (MLS)

RADIAL BASIS FUNCTIONS (RBF)

Abstract

A collocation method with the modified equilibrium on line method (ELM) for imposition of Neumann and Robin boundary conditions is presented for solving the two-dimensional acoustical problems. In the modified ELM, the governing equations are integrated over the lines on the Neumann (Robin) boundary instead of the Neumann (Robin) boundary condition equations. In other words, integration domains are straight lines for nodes located on the Neumann boundary. Numerical examples of two-dimensional acoustical problems are presented to demonstrate thestability, accuracy and convergence of the proposed method.

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APA: Copy

SADEGHIRAD, A., MAHMOUDZADEH KANI, I., & VAZIRI ASTANEH, A.. (2010). A COLLOCATION METHOD WITH MODIFIED EQUILIBRIUM ON LINE METHOD FOR IMPOSITION OF NEUMANN AND ROBIN BOUNDARY CONDITIONS IN ACOUSTICS (TECHNICAL NOTE). INTERNATIONAL JOURNAL OF ENGINEERING, 23(1 (TRANSACTIONS A: BASICS)), 11-22. SID. https://sid.ir/paper/573856/en

Vancouver: Copy

SADEGHIRAD A., MAHMOUDZADEH KANI I., VAZIRI ASTANEH A.. A COLLOCATION METHOD WITH MODIFIED EQUILIBRIUM ON LINE METHOD FOR IMPOSITION OF NEUMANN AND ROBIN BOUNDARY CONDITIONS IN ACOUSTICS (TECHNICAL NOTE). INTERNATIONAL JOURNAL OF ENGINEERING[Internet]. 2010;23(1 (TRANSACTIONS A: BASICS)):11-22. Available from: https://sid.ir/paper/573856/en

IEEE: Copy

A. SADEGHIRAD, I. MAHMOUDZADEH KANI, and A. VAZIRI ASTANEH, “A COLLOCATION METHOD WITH MODIFIED EQUILIBRIUM ON LINE METHOD FOR IMPOSITION OF NEUMANN AND ROBIN BOUNDARY CONDITIONS IN ACOUSTICS (TECHNICAL NOTE),” INTERNATIONAL JOURNAL OF ENGINEERING, vol. 23, no. 1 (TRANSACTIONS A: BASICS), pp. 11–22, 2010, [Online]. Available: https://sid.ir/paper/573856/en

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