@Article{cmes.2008.035.073,
AUTHOR = {S.-W.  Na, L.F.  Kallivokas},
TITLE = {Continuation Schemes for Shape Detection in Inverse Acoustic Scattering Problems},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {35},
YEAR = {2008},
NUMBER = {1},
PAGES = {73--90},
URL = {http://www.techscience.com/CMES/v35n1/26721},
ISSN = {1526-1506},
ABSTRACT = {We discuss simple numerical schemes, termed continuation schemes, for detecting the location and shape of a scatterer embedded in a host acoustic medium, when considering scant measurements of the scattered acoustic pressure in the vicinity (near- or far-field) of the obstacle. The detection is based on incomplete information, i.e., the measurement stations are distributed in the backscatter region and do not circumscribe the sought scatterer. We consider sound-hard scatterers, and use boundary integral equations for the underlying numerical scheme. We favor amplitude-based misfit functionals, and use frequency- and directionality-continuation schemes to resolve the scatterer's location and shape. We report on numerical experiments that attest to the promise of the schemes.},
DOI = {10.3970/cmes.2008.035.073}
}