Why Do We Need Voronoi Cells and Delaunay Meshes?

DOI10.1007/978-3-030-23436-2_3zbMath1448.65127OpenAlexW2943644227MaRDI QIDQ5114887

Klaus Gärtner, L. Kamenski

Publication date: 29 June 2020

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-23436-2_3

zbMATH Keywords

Voronoi cellsDelaunay meshes

Mathematics Subject Classification ID

Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (5)

Upstream mobility finite volumes for the Richards equation in heterogenous domains ⋮ Non-simplicial Delaunay meshing via approximation by radical partitions ⋮ On the square-root approximation finite volume scheme for nonlinear drift-diffusion equations ⋮ A variational finite volume scheme for Wasserstein gradient flows ⋮ A Convergent Entropy Diminishing Finite Volume Scheme for a Cross-Diffusion System

Uses Software

• TetGen
• Triangle

Cites Work

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• On a nonlocal model of image segmentation
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• Linear finite elements may be only first-order pointwise accurate on anisotropic triangulations
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• Some Error Estimates for the Box Method
• Piecewise Linear Petrov–Galerkin Error Estimates for the Box Method
• TetGen, a Delaunay-Based Quality Tetrahedral Mesh Generator
• A dissipative discretization scheme for a nonlocal phase segregation model
• An asymmetrical finite difference network
• RELAXATION METHODS APPLIED TO DETERMINE THE MOTION, IN TWO DIMENSIONS, OF A VISCOUS FLUID PAST A FIXED CYLINDER

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