Name
Title | ||
|---|---|---|
Convergent scattering series solution of the inhomogeneous Helmholtz equation via renormalization group and homotopy continuation approaches |
Abstract | ||
|---|---|---|
•The inhomogeneous Helmholtz equation can be transformed into an equivalent integral equation of the Lippmann-Schwinger (LS) type.•The LS equation can be solved very accurately using the real space representation, where the CPU-time and memory requirements scales like N3 and N2, respectively.•A more efficient iterative solution of the LS can be derived using the wave vector representation, where the CPU- time and memory requirements scales like Nlog(N) and N, respectively.•However, some kind of renormalization may be required to ensure convergence independent of the scattering potential.•By using renormalization group and homotopy continuation approaches, we derive a convergent wave vector iterative solution of the LS equation. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1016/j.jcp.2020.109343 | Journal of Computational Physics |
Keywords | DocType | Volume |
Lippmann-Schwinger equation,Iterative solution,Convergence issues,Computational efficiency | Journal | 409 |
ISSN | Citations | PageRank |
0021-9991 | 0 | 0.34 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Morten Jakobsen | 1 | 0 | 0.34 |
| Ru-Shan Wu | 2 | 0 | 2.37 |
| Xingguo Huang | 3 | 0 | 5.07 |