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@article{Witherden:2015:10.1016/j.camwa.2015.03.017,
author = {Witherden, FD and Vincent, PE},
doi = {10.1016/j.camwa.2015.03.017},
journal = {Computers and Mathematics with Applications},
pages = {1232--1241},
title = {On the identification of symmetric quadrature rules for finite element methods},
url = {http://dx.doi.org/10.1016/j.camwa.2015.03.017},
volume = {69},
year = {2015}
}

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TY  - JOUR
AB  - In this paper we describe a methodology for the identification of symmetric quadrature rules inside of quadrilaterals, triangles, tetrahedra, prisms, pyramids, and hexahedra. The methodology is free from manual intervention and is capable of identifying a set of rules with a given strength and a given number of points. We also present polyquad which is an implementation of our methodology. Using polyquad v1.0 we proceed to derive a complete set of symmetric rules on the aforementioned domains. All rules possess purely positive weights and have all points inside the domain. Many of the rules appear to be new, and an improvement over those tabulated in the literature.
AU  - Witherden,FD
AU  - Vincent,PE
DO  - 10.1016/j.camwa.2015.03.017
EP  - 1241
PY  - 2015///
SN  - 0898-1221
SP  - 1232
TI  - On the identification of symmetric quadrature rules for finite element methods
T2  - Computers and Mathematics with Applications
UR  - http://dx.doi.org/10.1016/j.camwa.2015.03.017
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000353853900012&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://www.sciencedirect.com/science/article/pii/S0898122115001224?via%3Dihub
VL  - 69
ER  -

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