A numerical integration scheme for special quadrilateral finite elements for the Helmholtz equation

Autor:	Jon Trevelyan, Rie Sugimoto, Peter Bettess
Rok vydání:	2002
Předmět:	Quadrilateral Helmholtz equation Applied Mathematics General problem Mathematical analysis General Engineering Extension (predicate logic) Finite element method Numerical integration Short Waves Computational Theory and Mathematics Modeling and Simulation Scheme (mathematics) Software Mathematics
Zdroj:	Communications in Numerical Methods in Engineering. 19:233-245
ISSN:	1069-8299
DOI:	10.1002/cnm.584
Popis:	This paper is an extension to an earlier paper dealing with the general problem of integrating special wave elements and specifically deals with quadrilateral elements, which have their own unique problems. The theory for integrating quadrilateral wave finite elements for the solution of the Helmholtz equation for very short waves is presented. The results are compared with those obtained using large numbers of Gauss-Legendre integration points.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a819267df433c345d5f9f819ba9a7ad7 https://doi.org/10.1002/cnm.584 Zobrazit plný text záznamu Plný text