55 citations · 536 across the 34 of their papers we have counts for
5 papers · 1 filter
Identification of Electromagnetic Dipoles from Multi-frequency Sparse Electric Far Field Patterns
Jialei Li, Xiaodong Liu
The inverse electromagnetic source scattering problem from multi-frequency sparse electric far field patterns is considered. The underlying source is a combination of electric dipo…
A multi-frequency sampling method for the inverse source problems with sparse measurements
Xiaodong Liu, Shixu Meng
We consider the inverse source problems with multi-frequency sparse near field measurements. In contrast to the existing near field operator based on the integral over the space va…
Modified sampling method with near field measurements
Xiaodong Liu, Shixu Meng, Bo Zhang
This paper investigates the inverse scattering problems using sampling methods with near field measurements. The near field measurements appear in two classical inverse scattering…
Data completion algorithms and their applications in inverse acoustic scattering with limited-aperture backscattering data
Fangfang Dou, Xiaodong Liu, Shixu Meng +1
We introduce two data completion algorithms for the limited-aperture problems in inverse acoustic scattering. Both completion algorithms are independent of the topological and phys…
A discontinuous Galerkin method based on a hierarchical orthogonal basis for Lagrangian hydrodynamics on curvilinear grids
Xiaodong Liu, Nathaniel R. Morgan, Evan J. Lieberman +1
We present a new high-order accurate Lagrangian discontinuous Galerkin (DG) hydrodynamic method to simulate material dynamics (for e.g., gasses, fluids, and solids) with up to four…