Interpolants within Convex Polygons: Wachspress’ Shape Functions
Publication: Journal of Aerospace Engineering
Volume 16, Issue 1
Abstract
During the 1970s, Wachspress developed shape functions for convex n-gons as polynomials of degree divided by the one of Originated from projective geometry these interpolants are linear on the sides and can exactly reproduce arbitrary linear fields. Here an alternative derivation is presented. The wide availability of computer algebra programs makes these high accuracy elements accessible. Associated C++ codes are particularly suited for large scale finite element analysis employed in the aerospace industry.
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Information & Authors
Information
Published In
Journal of Aerospace Engineering
Volume 16 • Issue 1 • January 2003
Pages: 1 - 8
Copyright
Copyright © 2003 American Society of Civil Engineers.
History
Received: Feb 15, 2002
Accepted: May 20, 2002
Published online: Dec 13, 2002
Published in print: Jan 2003
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