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Refinable spaces and local approximation estimates for hierarchical splines

Buffa, Annalisa et al · Oxford University Press · 2017

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We study the local approximation properties in hierarchical spline spaces through multiscale quasi-interpolation operators. This construction suggests the analysis of a subspace of the classical hierarchical spline space (Vuong et al., 2011) which still satisfies the essential properties of the full space. The B-spline basis of such a subspace can be constructed using parent-children relations only, making it well adapted to local refinement algorithms. Fil: Buffa, Annalisa. Consiglio Nazionale delle Ricerche. Istituto di Matematica Applicata e Tecnologie Informatiche; Italia Fil: Garau, Eduardo Mario. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina

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APA 7

Buffa, A. E. A. (2017). Refinable spaces and local approximation estimates for hierarchical splines. http://hdl.handle.net/11336/30419

MLA

Buffa, Annalisa et al. "Refinable spaces and local approximation estimates for hierarchical splines." 2017. http://hdl.handle.net/11336/30419.

Chicago

Buffa, Annalisa et al. 2017. "Refinable spaces and local approximation estimates for hierarchical splines.". http://hdl.handle.net/11336/30419.

Harvard

Buffa, A. E. A. 2017, Refinable spaces and local approximation estimates for hierarchical splines, Oxford University Press, available at: http://hdl.handle.net/11336/30419 [Accessed 8 Aug. 2026].

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Title
Refinable spaces and local approximation estimates for hierarchical splines
Author / contributors
Buffa, Annalisa et al
Publisher
Oxford University Press
Publication year
2017
ISSN
1125-1149
ISSN
1125-1149
Language
English

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