A note on quarkonial systems and multilevel partition of unity methods

DOI10.1002/mana.201100246zbMath1273.41009OpenAlexW1964072990MaRDI QIDQ4921746

Peter Oswald, Thorsten Raasch, Stephan Dahlke

Publication date: 13 May 2013

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201100246

zbMATH Keywords

Bernstein inequalityBesov spacesframespartition of unity methodssubatomic decompositionsquarkonial systems

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Spline approximation (41A15)

Related Items (3)

Quarkonial frames with compression properties ⋮ B-spline quarklets and biorthogonal multiwavelets ⋮ Quarklet characterizations for Triebel-Lizorkin spaces

Uses Software

• ShearLab
• Wavelet and Multiscale Library
• PUMA

Cites Work

• Frame expansions in separable Banach spaces
• The structure of functions
• The p- and h-p versions of the finite element method. An overview
• Theory of function spaces
• Describing functions: Atomic decompositions versus frames
• Particles of variable size
• An \(h\)-\(p\) adaptive method using clouds
• The partition of unity finite element method: basic theory and applications
• A parallel multilevel partition of unity method for elliptic partial differential equations
• Multilevel preconditioning for partition of unity methods: some analytic concepts
• The Finite Mass Method
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