منابع مشابه
Whitney Forms of Higher Degree
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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A rationale for Whitney forms is proposed: they are seen as a device to approximate manifolds, with approximation of differential forms as a by-product. A recursive generating formula is derived. A natural way to build higher-degree forms then follows.
متن کاملOn the centers of higher degree forms
Let Θ be a symmetric d-linear form on a vector space V of dimension n over a field K. Its center, Cent(V,Θ), is the analog of the space of symmetric matrices for a bilinear form. If d > 2, the center is a commutative subalgebra of EndK(V ). It was conjectured in [4] that the center has dimension at most n and a proof was given for n ≤ 5. We construct counter examples to this conjecture. We give...
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Both a general and a diagonal u-invariant for forms of higher degree are defined, generalizing the u-invariant of quadratic forms. Both old and new results on these invariants are collected.
متن کاملErratum : A Geometrical Theory of Jacobi Forms of Higher Degree
Erratum : A Geometrical Theory of Jacobi Forms of Higher Degree Jae-Hyun Yang Department of Mathematics, Inha University, Incheon 402-751, Korea e-mail : [email protected] Erratum In the article A Geometrical Theory of Jacobi Forms of Higher Degree by JaeHyun Yang [Kyungpook Math. J., 40(2)(2000), 209-237], the author presents the Laplace-Beltrami operator ∆g,h of the Siegel-Jacobi space (Hg,h,...
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ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2009
ISSN: 0036-1429,1095-7170
DOI: 10.1137/070705489