Why do we need Voronoi cells and Delaunay meshes? Essential properties of the Voronoi finite volume method

DOI10.1134/S096554251912008XzbMath1453.65251arXiv1905.01738OpenAlexW2966103792MaRDI QIDQ2206382

L. Kamenski, Klaus Gärtner

Publication date: 22 October 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.01738

zbMATH Keywords

finite volume methodVoronoi cellsboundary conforming Delaunay triangulation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (3)

Non-simplicial Delaunay meshing via approximation by radical partitions ⋮ On pointwise error estimates for Voronoï-based finite volume methods for the Poisson equation on the sphere ⋮ Polygonal and Polyhedral Delaunay Meshing

Uses Software

• TetGen
• Triangle

Cites Work

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