منابع مشابه
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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The aim of this work is to generalize the idea of the discretizations on sparse grids to discrete differential forms. The extension to general l-forms in d dimensions includes the well known Whitney elements, as well as H(div; Ω)and H(curl; Ω)-conforming mixed finite elements. The formulation of Maxwell’s equations in terms of differential forms gives a crucial hint how they should be discretiz...
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Motivated by boundary value problems for partial differential equations, classical trace and extension theorems characterize traces of spaces of generalized smoothness (e.g., Sobolev, Besov, etc.) to smooth submanifolds of a Euclidean space. But in many cases one needs similar results for subsets of a more complicated geometric structure (for instance, after the change of variables initial data...
متن کاملFirst Observations on Prefab Posets Whitney Numbers
We introduce a natural partial order ≤ in structurally natural finite subsets of the cobweb prefabs sets recently constructed by the present author. Whitney numbers of the second kind of the corresponding subposet which constitute Stirling-like numbers‘ triangular array are then calculated and the explicit formula for them is provided. Next in the second construction we endow the set sums of pr...
متن کاملTranslated 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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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1999
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-160-1-63-79