Graphics of Whitney Brothers

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Translated Whitney and r-Whitney Numbers: A Combinatorial Approach

Using a combinatorial approach, we introduce the translated Whitney numbers. This seems to be more natural than to write a product of anarithmetical progression in terms of a power variable and conversely. We also extend our ideas to translated r-Whitney numbers of both kinds and to translated Whitney-Lah numbers.

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Low order Whitney elements are widely used for electromagnetic field problems. Higher order approximations are receiving increasing interest but their definition remains unduly complex. In this paper we propose a new simple construction for Whitney p-elements of polynomial degree higher than one that use only degrees of freedom associated to p-chains. We provide a basis for these elements on si...

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Whitney Elements on Pyramids

V. GRADINARU AND R. HIPTMAIR † Abstract. Conforming finite elements inH(div; Ω) andH(curl; Ω) can be regarded as discrete differential forms (Whitney–forms). The construction of such forms is based on an interpolation idea, which boils down to a simple extension of the differential form to the interior of elements. This flexible approach can accommodate elements of more complicated shapes than ...

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Stiefel - Whitney Currents

A canonically defined mod 2 linear dependency current is associated to each collection v of sections, Vl, . . . , Vm, of a real rank n vector bundle. This current is supported on the linear dependency set of v. It is defined whenever the collection v satisfies a weak measure theoretic condition called "atomicity." Essentially any reasonable collection of sections satisfies this condition, vastl...

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Connectedness Properties of Whitney Levels

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ژورنال

عنوان ژورنال: Journal of Graphic Science of Japan

سال: 2000

ISSN: 1884-6106,0387-5512

DOI: 10.5989/jsgs.34.2_5