The adaptive Delaunay tessellation: A neighborhood covering meshing technique

DOI10.1007/s00466-008-0265-3zbMath1167.65338OpenAlexW2136602144MaRDI QIDQ1026474

Georg Umlauf, Paul Steinmann, Gerald Farin, Alexandru Constantiniu, Tom Bobach

Publication date: 25 June 2009

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-008-0265-3

zbMATH Keywords

polygonal finite elementsgeneralized barycentric coordinatesscattered data interpolationadaptive Delaunay tessellationpolygonal interpolation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical interpolation (65D05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items

Locking-free numerical methods for nearly incompressible elasticity and incompressible flow on moving domains ⋮ Geometric Properties of the Adaptive Delaunay Tessellation

Cites Work

• Unnamed Item
• Unnamed Item
• The non-Sibsonian interpolation: A new method of interpolation of the value of a function on an arbitrary set of points
• Mean value coordinates
• Barycentric coordinates for convex sets
• Preferred directions for resolving the non-uniqueness of Delaunay triangulations
• Recent advances in the construction of polygonal finite element interpolants
• Smooth interpolation of large sets of scattered data
• The natural element method in solid mechanics
• The extended Delaunay tessellation
• Conforming polygonal finite elements