Face-to-face partition of 3D space with identical well-centered tetrahedra.

DOI10.1007/s10492-015-0115-5zbMath1363.65209OpenAlexW2181085780MaRDI QIDQ906996

Radim Hošek

Publication date: 1 February 2016

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/144451

zbMATH Keywords

Sommerville tetrahedronapproximative domainrigid meshsingle element meshwell-centered mesh

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (6)

Strongly regular family of boundary-fitted tetrahedral meshes of bounded \(C^2\) domains. ⋮ Construction and shape optimization of simplicial meshes in \(d\)-dimensional space ⋮ Existence of well-centered simplicial face-to-face tiling of five-dimensional space ⋮ Discrete advection-diffusion equations on graphs: maximum principle and finite volumes ⋮ A Convergent Numerical Method for the Full Navier--Stokes--Fourier System in Smooth Physical Domains ⋮ Duality of isosceles tetrahedra

Cites Work

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• Three infinite families of tetrahedral space-fillers
• Geometric and combinatorial properties of well-centered triangulations in three and higher dimensions
• Well-Centered Triangulation
• Which Tetrahedra Fill Space?
• Graded tetrahedral finite element meshes

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