Name
Abstract | ||
|---|---|---|
A new method is proposed for deriving embedding formulae in 2D diffraction problems. In contrast to the approach developed in Craster and Shanin (2005) [7], which is based on a differential operator, here a pseudo-differential, i.e., a non-local operator is applied to the wave field. Using this non-local operator a new embedding formula is derived for scattering by a single wedge. The formula has uniform structure for all opening angles, including angles irrational with respect to @p; the earlier theory, Craster and Shanin (2005) [7], was valid only for rational angles. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.cam.2009.08.010 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
pseudo-differential operator,opening angle,earlier theory,new embedding formula,rational angle,non-local operator,differential operator,new method,single wedge,diffraction problem,embedding formula,pseudo differential operator,differential operators | Mathematical optimization,Embedding,Semi-elliptic operator,Mathematical analysis,Wedge (mechanical device),Differential operator,Irrational number,Scattering,Operator (computer programming),Diffraction,Mathematics | Journal |
Volume | Issue | ISSN |
234 | 6 | 0377-0427 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| A. V. Shanin | 1 | 0 | 1.01 |
| R. V. Craster | 2 | 2 | 2.30 |