A uniform rationale for Whitney forms on various supporting shapes

A method for constructing Whitney forms is proposed, which applies to tetrahedra, hexahedra, triangular prisms, and pyramids in a similar way, and proceeds from a unique generating principle, thus unifying their presentation. The principle automatically enforces conformity (i.e., “tangential” or “normal continuity” of the elementary proxy fields) at element interfaces, and generates a complex of forms with the “exact sequence property” built in.

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Year of publication:	2010
Authors:	Bossavit, A.
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 80.2010, 8, p. 1567-1577
Publisher:	Elsevier
Subject:	Finite elements \| Edge elements \| Whitney forms

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011050563