55 citations · 536 across the 34 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
math.NA2017★ 26 cited
Direct sampling methods for inverse elastic scattering problems
Xia Ji, Xiaodong Liu, Yingxia Xi
We consider the inverse elastic scattering of incident plane compressional and shear waves from the knowledge of the far field patterns. Specifically, three direct sampling methods…
math.NA2017★ 1 cited
Data recovery: from limited-aperture to full-aperture
Xiaodong Liu, Jiguang Sun
The inverse scattering problems have been popular for the past thirty years. While very successful in many cases, progress has lagged when only {\em limited-aperture} measurement i…
math.NA2017★ 55 cited
A novel sampling method for multiple multiscale targets from scattering amplitudes at a fixed frequency
Xiaodong Liu
A sampling method by using scattering amplitude is proposed for shape and location reconstruction in inverse acoustic scattering problems. Only matrix multiplication is involved in…