Direct imaging for the moment tensor point sources of elastic waves.

• A direct imaging method for recovering the elastic moment tensor point sources. • The numerical scheme is easy to implement, without any iteration or forward solver. • The imaging indicator is based on a special choice of the admissible frequencies. • Stability is analyzed and simulation examples are provided to validate the reconstructions. We investigate an inverse source problem of the time-harmonic elastic wave equation. Some novel sampling-type numerical schemes are proposed to identify the moment tensor point sources in the Lamé system from near-field measurements. Rigorous theoretical justifications are provided to show that the locations and moment tensors of the elastic sources can be uniquely determined from the multi-frequency displacement data. Several numerical examples are also presented to illustrate the validity and robustness of the proposed method. [ABSTRACT FROM AUTHOR]