A uniform rationale for Whitney forms on various supporting shapes

A. Bossavit

Mathematics and Computers in Simulation (MATCOM), 2010, vol. 80, issue 8, 1567-1577

Abstract: 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.

Keywords: Finite elements; Edge elements; Whitney forms (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2010:i:8:p:1567-1577

DOI: 10.1016/j.matcom.2008.11.005

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