4.4 Article

Splines on Triangulations with Hanging Vertices

Journal

CONSTRUCTIVE APPROXIMATION
Volume 36, Issue 3, Pages 487-511

Publisher

SPRINGER
DOI: 10.1007/s00365-012-9167-x

Keywords

Splines; Triangulations; H-triangulations; Hanging nodes; Dimension; Approximation power

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Polynomial spline spaces defined on triangulations with hanging vertices are studied. In addition to dimension formulae, explicit basis functions are constructed, and their supports and stability are discussed. The approximation power of the spaces is also treated.

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