Name
Title | ||
|---|---|---|
Compact high order schemes with gradient-direction derivatives for absorbing boundary conditions |
Abstract | ||
|---|---|---|
We consider several compact high order absorbing boundary conditions (ABCs) for the Helmholtz equation in three dimensions. A technique called \"the gradient method\" (GM) for ABCs is also introduced and combined with the high order ABCs. GM is based on the principle of using directional derivatives in the direction of the wavefront propagation. The new ABCs are used together with the recently introduced compact sixth order finite difference scheme for variable wave numbers. Experiments on problems with known analytic solutions produced very accurate results, demonstrating the efficacy of the high order schemes, particularly when combined with GM. The new ABCs are then applied to the SEG/EAGE Salt model, showing the advantages of the new schemes. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.jcp.2015.05.027 | Journal of Computational Physics |
Keywords | Field | DocType |
Absorbing boundary conditions,Compact schemes,Geophysics,Gradient method,Helmholtz equation,High order accuracy,Wavefront direction | Gradient method,Boundary value problem,Mathematical optimization,Wavefront,Finite difference scheme,Mathematical analysis,Gradient direction,Wavenumber,Helmholtz equation,Directional derivative,Mathematics | Journal |
Volume | Issue | ISSN |
297 | C | 0021-9991 |
Citations | PageRank | References |
2 | 0.44 | 10 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Dan Gordon | 1 | 210 | 21.44 |
| Rachel Gordon | 2 | 183 | 17.97 |
| Eli Turkel | 3 | 84 | 14.00 |