منابع مشابه
Canonical construction of finite elements
The mixed variational formulation of many elliptic boundary value problems involves vector valued function spaces, like, in three dimensions, H(curl; Ω) and H(Div;Ω). Thus finite element subspaces of these function spaces are indispensable for effective finite element discretization schemes. Given a simplicial triangulation of the computational domain Ω, among others, Raviart, Thomas and Nédéle...
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We present an elementary and fairly self-contained construction of Lusztig’s canonical basis in finite type. The method, which is essentially Lusztig’s original approach, is to use the braid group to reduce to rank two calculations. We are able to see some of the wonderful properties of the basis, most notably that it descends to a basis for every highest weight integrable representation, and t...
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In the last years, applying wavelets analysis has called the attention in a wide variety of practical problems, in particular for the numerical solutions of partial differential equations using different methods, as finite differences, semi-discrete techniques or the finite element method. In the construction of wavelet-based elements, instead of traditional polynomial interpolation, scaling an...
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The purpose of this paper is to find a set of canonical elements to use within the framework of Öpik theory of close encounters of a small body with a planet ([Öpik 1976]). Since the small body travels along a planetocentric hyperbola during the close approach and Öpik formulas are valid, without approximations, only at collision, we derive a set of canonical elements for hyperbolic collision o...
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We prove the finite generation of canonical rings of smooth projective varieties of general type defined over complex numbers. MSC 32J25
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1999
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-99-01166-7