FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2946023057> ?p ?o ?g. }

• W2946023057 endingPage "102479" @default.
• W2946023057 startingPage "102479" @default.
• W2946023057 abstract "The subject of diffraction of waves by sharp boundaries has been studied intensively for well over a century, initiated by groundbreaking mathematicians and physicists including Sommerfeld, Macdonald and Poincar'e. The significance of such canonical diffraction models, and their analytical solutions, was recognised much more broadly thanks to Keller, who introduced a geometrical theory of diffraction (GTD) in the middle of the last century, and other important mathematicians such as Fock and Babich. This has led to a very wide variety of approaches to be developed in order to tackle such two and three dimensional diffraction problems, with the purpose of obtaining elegant and compact analytic solutions capable of easy numerical evaluation. The purpose of this review article is to showcase the disparate mathematical techniques that have been proposed. For ease of exposition, mathematical brevity, and for the broadest interest to the reader, all approaches are aimed at one canonical model, namely diffraction of a monochromatic scalar plane wave by a two-dimensional wedge with perfect Dirichlet or Neumann boundaries. The first three approaches offered are those most commonly used today in diffraction theory, although not necessarily in the context of wedge diffraction. These are the Sommerfeld-Malyuzhinets method, the Wiener-Hopf technique, and the Kontorovich-Lebedev transform approach. Then follows three less well-known and somewhat novel methods, which would be of interest even to specialists in the field, namely the embedding method, a random walk approach, and the technique of functionally-invariant solutions. Having offered the exact solution of this problem in a variety of forms, a numerical comparison between the exact solution and several powerful approximations such as GTD is performed and critically assessed." @default.
• W2946023057 created "2019-05-29" @default.
• W2946023057 creator A5019192156 @default.
• W2946023057 creator A5074432026 @default.
• W2946023057 creator A5078202072 @default.
• W2946023057 date "2020-03-01" @default.
• W2946023057 modified "2023-10-10" @default.
• W2946023057 title "Analytical methods for perfect wedge diffraction: A review" @default.
• W2946023057 cites W1964485558 @default.
• W2946023057 cites W1965495009 @default.
• W2946023057 cites W1975711585 @default.
• W2946023057 cites W1977390573 @default.
• W2946023057 cites W1978297088 @default.
• W2946023057 cites W1988100376 @default.
• W2946023057 cites W1997093580 @default.
• W2946023057 cites W1997353244 @default.
• W2946023057 cites W2000682045 @default.
• W2946023057 cites W2004321291 @default.
• W2946023057 cites W2008234466 @default.
• W2946023057 cites W2008464624 @default.
• W2946023057 cites W2012332976 @default.
• W2946023057 cites W2018543755 @default.
• W2946023057 cites W2020627083 @default.
• W2946023057 cites W2023550793 @default.
• W2946023057 cites W2026376725 @default.
• W2946023057 cites W2030403041 @default.
• W2946023057 cites W2031161514 @default.
• W2946023057 cites W2032263906 @default.
• W2946023057 cites W2038807939 @default.
• W2946023057 cites W2041118978 @default.
• W2946023057 cites W2041788516 @default.
• W2946023057 cites W2045022259 @default.
• W2946023057 cites W2045363452 @default.
• W2946023057 cites W2058957656 @default.
• W2946023057 cites W2066390249 @default.
• W2946023057 cites W2071522950 @default.
• W2946023057 cites W2074743885 @default.
• W2946023057 cites W2086409661 @default.
• W2946023057 cites W2092337864 @default.
• W2946023057 cites W2095073683 @default.
• W2946023057 cites W2095222438 @default.
• W2946023057 cites W2103158266 @default.
• W2946023057 cites W2106180978 @default.
• W2946023057 cites W2108930042 @default.
• W2946023057 cites W2109554711 @default.
• W2946023057 cites W2111537769 @default.
• W2946023057 cites W2111675900 @default.
• W2946023057 cites W2120566164 @default.
• W2946023057 cites W2137035479 @default.
• W2946023057 cites W2145026358 @default.
• W2946023057 cites W2145584207 @default.
• W2946023057 cites W2149648735 @default.
• W2946023057 cites W2159930256 @default.
• W2946023057 cites W2161956430 @default.
• W2946023057 cites W2164980796 @default.
• W2946023057 cites W2166510762 @default.
• W2946023057 cites W2169164332 @default.
• W2946023057 cites W2196513886 @default.
• W2946023057 cites W2256696359 @default.
• W2946023057 cites W2316499186 @default.
• W2946023057 cites W2327089220 @default.
• W2946023057 cites W2333703894 @default.
• W2946023057 cites W2475206370 @default.
• W2946023057 cites W259014016 @default.
• W2946023057 cites W2943046378 @default.
• W2946023057 cites W4242452546 @default.
• W2946023057 doi "https://doi.org/10.1016/j.wavemoti.2019.102479" @default.
• W2946023057 hasPublicationYear "2020" @default.
• W2946023057 type Work @default.
• W2946023057 sameAs 2946023057 @default.
• W2946023057 citedByCount "24" @default.
• W2946023057 countsByYear W29460230572020 @default.
• W2946023057 countsByYear W29460230572021 @default.
• W2946023057 countsByYear W29460230572022 @default.
• W2946023057 countsByYear W29460230572023 @default.
• W2946023057 crossrefType "journal-article" @default.
• W2946023057 hasAuthorship W2946023057A5019192156 @default.
• W2946023057 hasAuthorship W2946023057A5074432026 @default.
• W2946023057 hasAuthorship W2946023057A5078202072 @default.
• W2946023057 hasBestOaLocation W29460230572 @default.
• W2946023057 hasConcept C121332964 @default.
• W2946023057 hasConcept C207114421 @default.
• W2946023057 hasConcept C2524010 @default.
• W2946023057 hasConcept C33332235 @default.
• W2946023057 hasConcept C33923547 @default.
• W2946023057 hasConcept C47422493 @default.
• W2946023057 hasConcept C62520636 @default.
• W2946023057 hasConceptScore W2946023057C121332964 @default.
• W2946023057 hasConceptScore W2946023057C207114421 @default.
• W2946023057 hasConceptScore W2946023057C2524010 @default.
• W2946023057 hasConceptScore W2946023057C33332235 @default.
• W2946023057 hasConceptScore W2946023057C33923547 @default.
• W2946023057 hasConceptScore W2946023057C47422493 @default.
• W2946023057 hasConceptScore W2946023057C62520636 @default.
• W2946023057 hasFunder F4320314731 @default.
• W2946023057 hasFunder F4320334627 @default.
• W2946023057 hasLocation W29460230571 @default.
• W2946023057 hasLocation W29460230572 @default.

• next