A RECURSIVE ALGORITHM FOR MULTIFREQUENCY ACOUSTIC INVERSE SOURCE PROBLEMS Academic Article

abstract

• by SIAM. An iterative/recursive algorithm is studied for recovering unknown sources of acoustic field with multifrequency measurement data. Under additional regularity assumptions on source functions, the first convergence result toward multifrequency inverse source problems is obtained by assuming the background medium is homogeneous and the measurement data is noise-free. Error estimates are also provided when the observation data is contaminated by noise. Numerical examples verify the reliability and efficiency of our proposed algorithm.

authors

• Rundell, William

published proceedings

• SIAM JOURNAL ON NUMERICAL ANALYSIS

author list (cited authors)

• Bao, G., Lu, S., Rundell, W., & Xu, B.

citation count

• 47

complete list of authors

• Bao, Gang||Lu, Shuai||Rundell, William||Xu, Boxi

publication date

• January 2015

publisher

• Society for Industrial & Applied Mathematics (SIAM)  Publisher

published in

• SIAM Journal on Numerical Analysis  Journal

keywords

• Helmholtz Equation
• Inverse Source Problems
• Multiple Frequency

Digital Object Identifier (DOI)

• 10.1137/140993648

start page

• 1608

end page

• 1628

volume

• 53

issue

• 3

URL

• http://dx.doi.org/10.1137/140993648