2014/08/07 by Lexing Ying, Ying, Lexing · 1 citation
Engineering · Physics and Astronomy · #Electromagnetic Scattering and Analysis #FOS: Mathematics #Geophysical Methods and Applications #Microwave Imaging and Scattering Analysis #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.1408.1578
openalex publication_date 2014/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The boundary integral method is an efficient approach for solving time-harmonic obstacle scattering problems by a bounded scatterer. This paper presents the directional preconditioner for the iterative solution of linear systems of the boundary integral method. This new preconditioner builds a data-sparse approximation of the integral operator, transforms it into a sparse linear system, and computes an approximate inverse with efficient sparse and hierarchical linear algebra algorithms. This preconditioner is efficient and results in small and almost frequency-independent iteration counts when combined with standard iterative solvers. Numerical results are provided to demonstrate the effectiveness of the new preconditioner.