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Document type:
Zeitschriftenaufsatz 
Author(s):
Sudhakar, Y.; Wall W.A. 
Title:
Quadrature schemes for arbitrary convex/concave volumes and integration of weak form in enriched partition of unity methods 
Abstract:
Quadrature schemes are constructed based on moment fitting equations to integrate polynomials over arbitrary convex/concave volumes that arise, among others, in Enriched Partition of Unity finite element Methods (EPUM). The building block of the scheme involves the divergence theorem of multivariable calculus, which is used to integrate the base functions. An efficient and robust point distribution method is proposed and the quadrature weights at the corresponding points are obtained by...    »
 
Keywords:
Quadrature, divergence theorem, moment fitting equations, enriched partition of unity method, integration over complex volumes 
Dewey Decimal Classification:
620 Ingenieurwissenschaften 
Journal title:
Computer Methods in Applied Mechanics and Engineering 
Year:
2013 
Journal issue:
258 
Pages contribution:
39-54 
Covered by:
Web of Science 
Reviewed:
ja 
Language:
en 
Status:
Verlagsversion / published 
Semester:
WS 12-13 
Format:
Text