منابع مشابه
On interpolatory divergence-free wavelets
We construct interpolating divergence-free multiwavelets based on cubic Hermite splines. We give characterizations of the relevant function spaces and indicate their use for analyzing experimental data of incompressible flow fields. We also show that the standard interpolatory wavelets, based on the Deslauriers-Dubuc interpolatory scheme or on interpolatory splines, cannot be used to construct ...
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We consider a method of adapting Dubuc-Deslauriers sudivision, which is de ̄ned for bi-in ̄nite sequences, to accommodate sequences of ̄nite length. After deriving certain useful properties of the Dubuc-Deslauriers re ̄nable function on R, we de ̄ne a multi-scale ̄nite sequence of functions on a bounded interval, which are then proved to be re ̄nable. Using this fact, the resulting adapted interpolato...
متن کاملDivergence-free Wavelets for Navier-Stokes
In this paper, we investigate the use of compactly supported divergencefree wavelets for the representation of the Navier-Stokes solution. After reminding the theoretical construction of divergence-free wavelet vectors, we present in detail the bases and corresponding fast algorithms for 2D and 3D incompressible flows. In order to compute the nonlinear term, we propose a new method which provid...
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The aim of this paper is the detailed investigation of trigono-metric polynomial spaces as a tool for approximation and signal analysis. Sample spaces are generated by equidistant translates of certain de la Vall ee Poussin means. The diierent de la Vall ee Poussin means enable us to choose between better time-or frequency-localization. For nested sample spaces and corresponding wavelet spaces,...
متن کاملDivergence-free Wavelets on the Hypercube: General Boundary Conditions
On the n-dimensional hypercube, for given k ∈ N, biorthogonal wavelet Riesz bases are constructed for the subspace of divergence-free vector fields of the Sobolev space Hk((0, 1)n)n with general homogeneous Dirichlet boundary conditions, including slip or no-slip boundary conditions. Both primal and dual wavelets can be constructed to be locally supported. The construction of the isotropic wave...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2006
ISSN: 0025-5718,1088-6842
DOI: 10.1090/s0025-5718-06-01949-1