مقایسهٔ روش‌ها

	روش المان مرزی (BEM)	هولوگرافی صوتی
حوزه	صوت‌شناسی	صوت‌شناسی
خانواده	Process / pipeline	Process / pipeline
سال پیدایش	1971	1985
پدیدآور	Carlos Brebbia, Robert Butterfield	James Maynard, Earl Williams, Yongjian Lee
نوع	Computational simulation for acoustics	Sound field reconstruction method
منبع بنیادین	Burton, A. J., & Miller, G. F. (1971). The application of integral equation methods to the numerical solution of some exterior boundary-value problems. Proceedings of the Royal Society A, 323(1553), 201–210.	Maynard, J. D., Williams, E. G., & Lee, Y. (1985). Near-field acoustic holography: I. Theory of generalized holography and the development of NAH. Journal of the Acoustical Society of America, 78(4), 1395–1413.
نام‌های دیگر	BEM, boundary element method, indirect BEM, direct BEM	NAH, near-field acoustics, sound field mapping, acoustic imaging
مرتبط	5	5
خلاصه	The Boundary Element Method (BEM) is a numerical technique for solving acoustic wave equations in complex geometries. Unlike finite element methods (FEM) that mesh entire volumes, BEM discretizes only the acoustic boundaries (surfaces), reducing computational cost and memory. First applied to acoustics by Burton and Miller in 1971, BEM is widely used for predicting room acoustics, exterior noise radiation, and acoustic scattering without the need for volumetric meshing.	Near-Field Acoustic Holography (NAH) is a technique for reconstructing 3D acoustic sound fields and visualizing sound radiation from sources by measuring pressure at a dense microphone array in the near field. Pioneered by Maynard, Williams, and Lee in 1985, NAH extends holographic principles from optics to acoustics, enabling detailed acoustic source characterization, noise source identification, and acoustic field visualization that is impossible with conventional single-point or line-array methods.