Further variation diminishing properties of Bernstein polynomials on triangles

DOI10.1007/BF01890572zbMath0634.41020OpenAlexW2032180231MaRDI QIDQ1096825

Tim N. T. Goodman

Publication date: 1987

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01890572

zbMATH Keywords

Dézier netpolyhedral splinesvariation of a Bernstein polynomial

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation with constraints (41A29) Approximation by positive operators (41A36)

Related Items

Matrix-free subcell residual distribution for Bernstein finite element discretizations of linear advection equations ⋮ Flux-corrected transport algorithms for continuous Galerkin methods based on high order Bernstein finite elements ⋮ A partition of unity approach to adaptivity and limiting in continuous finite element methods ⋮ Monotonicity preservation on triangles

Cites Work

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• The convexity of Bernstein polynomials over triangles
• Variation diminishing properties of Bernstein polynomials on triangles