Linear Independence and Stability of Piecewise Linear Prewavelets on Arbitrary Triangulations

DOI10.1137/S0036142998342628zbMath0965.42022OpenAlexW1973587586MaRDI QIDQ4509673

Michael S. Floater, Ewald G. Quak

Publication date: 19 October 2000

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142998342628

zbMATH Keywords

stabilitytriangulationslinear independencelocal supportwavelet spacespiecewise linear splinesbivariate prewavelets

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical methods for wavelets (65T60) Spline approximation (41A15)

Related Items (11)

Finite element wavelets with improved quantitative properties ⋮ Locally supported rational spline wavelets on a sphere ⋮ A quadratic finite element wavelet Riesz basis ⋮ A second generation wavelet based finite elements on triangulations ⋮ Uniformly stable wavelets on nonuniform triangulations ⋮ Piecewise linear prewavelets over type-2 triangulations ⋮ Quadratic stable wavelet bases on general meshes ⋮ $C^1$ spline wavelets on triangulations ⋮ 2D and 3D finite element meshing and remeshing ⋮ Construction of wavelets and prewavelets over triangulations ⋮ Filter bank algorithms for piecewise linear prewavelets on arbitrary triangulations

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