Mathematical Methods for Nearfield Acoustical Holography

这个项目试图通过测量机舱内的声压来寻找飞机表面的噪声源。这些测量结果来自实验。PI将利用Helmholtz方程位势理论的积分方程式，结合当代反问题理论和数值分析的最新进展，包括位型积分的快速计算和Toeplitz结构的线性代数系统的解。降低(中型)飞机的噪声是极其重要的问题，其中一部分是寻找噪声源。该项目假设与航空业有很强的互动。这项工作的结果之一将是向塞斯纳飞机公司交付计算机代码。然而，这一结果预计对汽车工业和美国海军也有价值。研究生将认真参与这个项目的理论和数值研究，为未来的工业工作做准备。这个目标项目是由MPS多学科活动办公室(OMA)和数学科学部(DMS)联合支持的。

This project seeks to find a surface source of noise in anaircraft from measurements of the acoustical pressure inside ofthe cabin. These measurements are available from experiments.The PIs will make use of integral equations of the potentialtheory for the Helmholtz equation combined with contemporarytheory of inverse problems and recent advances in numericalanalysis including rapid computations of potential type integralsand solution of linear algebraic systems of Toeplitz structure.The problem of reducing noise in (midsize) aircraft is of extremeimportance and a part of it is to find a source of the noise.This project assumes a strong interaction with aviation industry.One outcome of this work will be the delivery of a computer codeto Cessna Aircraft Company. However, the results are expected tobe of value also for car industry and for the U.S.Navy. Thegraduate students will be seriously involved into theoretical andnumerical on the project preparing for future work in industry.This GOALI project is jointly supported by the MPS Office ofMultidisciplinary Activities (OMA) and the Division ofMathematical Sciences (DMS).