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...
متن کاملGenerating Whitney Forms of Polynomial Degree One and Higher
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 کاملEfficient Finite Element Assembly of High Order Whitney Forms
This paper presents an efficient method for the finite element assembly of high order Whitney elements. We start by reviewing the classical assembly technique and by highlighting the most time consuming part. Then, we show how this classical approach can be reformulated into a computationally efficient matrix-matrix product. We also address the global orientation problem of the vector valued ba...
متن کاملAutomorphic forms of higher order
In this paper a theory of Hecke operators for higher order modular forms is established. The definition of higher order forms is extended beyond the realm of parabolic invariants. A canonical inner product is introduced. The role of representation theoretic methods is clarified and, motivated by higher order forms, new convolution products of L-functions are introduced.
متن کاملThe Classification of Higher-order Cusp Forms
In this paper we establish the complete classification of cusp forms of all orders. Higher-order cusp forms constitute a natural extension of the notion of classical cusp forms and they have attracted the interest of several researchers in the broader area of automorphic forms during the last few years. Reasons for this interest include its relevance for new approaches to problems related to th...
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ژورنال
عنوان ژورنال: Progress In Electromagnetics Research
سال: 2001
ISSN: 1559-8985
DOI: 10.2528/pier00080111