@TECHREPORT\{IMM2001-0837, author = "A. Schuhmacher and J. Hald and K. B. Rasmussen and P. C. Hansen", title = "Sound source reconstruction using inverse boundary element calculations", year = "2001", number = "", series = "IMM-TR-2001-8", institution = "Informatics and Mathematical Modelling, Technical University of Denmark, {DTU}", address = "Richard Petersens Plads, Building 321, {DK-}2800 Kgs. Lyngby", type = "", url = "http://www2.compute.dtu.dk/pubdb/pubs/837-full.html", abstract = "Whereas standard boundary element calculations focus on the forward problem of computing the radiated acoustic field from a vibrating structure, the aim of the present work is to reverse the process, i.e., to determine vibration from acoustic field data. This inverse problem is brought on a form suited for solution by means of an inverse boundary element method. Since the numerical treatment of the inverse source reconstruction results in a discrete ill-posed problem, regularisation is imposed to avoid unstable solutions dominated by errors. In the present work the emphasis is on Tikhonov regularisation and parameter-choice methods not requiring an error norm estimate for choosing the right amount of regularisation. We demonstrate that the {L-}curve criterion is robust with respect to the errors in real measurement situations." }