Name
Abstract | ||
|---|---|---|
The boundary integral method is an efficient approach for solvingtime-harmonic obstacle scattering problems from boundedscatterers. This paper presents the directional preconditioner forthe linear systems of the boundary integral method in twodimensions. This new preconditioner builds a data-sparseapproximation of the integral operator, transforms it into a sparselinear system, and computes an approximate inverse with efficientsparse linear algebra algorithms. This preconditioner is efficientand results in small and almost frequency-independent iterationcounts for nonresonant scatterers when combined with standarditerative solvers. Numerical results are provided to demonstrate theeffectiveness of the new preconditioner. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1137/140985135 | Multiscale Modeling & Simulation |
Keywords | Field | DocType |
low rank approximation,scattering,preconditioner | Inverse,Linear algebra,Mathematical optimization,Preconditioner,Linear system,Mathematical analysis,Scattering,Incomplete LU factorization,Operator (computer programming),Mathematics,Bounded function | Journal |
Volume | Issue | ISSN |
13 | 3 | 1540-3459 |
Citations | PageRank | References |
0 | 0.34 | 7 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Lexing Ying | 1 | 1273 | 103.92 |