Name
Abstract | ||
|---|---|---|
We are concerned with the numerical solution of a nonlocal wave equation in an infinite two-dimensional space. The contribution of this paper is the derivation of an absorbing boundary condition which allows the wave field de fined on the finite computational domain to retain the same feature as that de fined on the original in finite domain. We resort to the idea of a first-kind integral equation method and develop a solution formulation in terms of a potential summation on a surrounding ghost region. This new formulation can be taken as an absorbing boundary condition of generalized Dirichlet-to-Dirichlet type. The accuracy and effectiveness of our approach are illustrated by some numerical examples. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1137/16M1102896 | SIAM JOURNAL ON SCIENTIFIC COMPUTING |
Keywords | Field | DocType |
nonlocal wave equation,nonlocal models,discrete absorbing boundary condition,artificial boundary method,Green's function,Dirichlet-to-Dirichlet mapping | Boundary value problem,Green's function,Mathematical analysis,Integral equation method,Wave equation,Mathematics | Journal |
Volume | Issue | ISSN |
40 | 3 | 1064-8275 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Qiang Du | 1 | 1692 | 188.27 |
| Houde Han | 2 | 110 | 17.95 |
| Chunxiong Zheng | 3 | 79 | 12.46 |
| Chunxiong Zheng | 4 | 79 | 12.46 |