The geometric element transformation method for tetrahedral mesh smoothing

DOI10.1016/j.cma.2009.09.027zbMath1231.74443OpenAlexW2055802612MaRDI QIDQ658723

Bernd Schwald, Dimitris P. Vartziotis, Joachim Wipper

Publication date: 8 February 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2009.09.027

zbMATH Keywords

finite element meshtetrahedral meshmesh qualitymesh smoothingiterative element regularization

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (8)

Robust moving mesh algorithms for hybrid stretched meshes: application to moving boundaries problems ⋮ Automatic merging of tetrahedral meshes ⋮ Fast smoothing of mixed volume meshes based on the effective geometric element transformation method ⋮ A localized subdomain smoothing MMALE particle method for efficient modeling FSI problems ⋮ A dual element based geometric element transformation method for all-hexahedral mesh smoothing ⋮ Quality tetrahedral mesh smoothing via boundary-optimized Delaunay triangulation ⋮ Characteristic parameter sets and limits of circulant Hermitian polygon transformations ⋮ Unnamed Item

Uses Software

• AIM@SHAPE
• Netgen
• Mesquite

Cites Work

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• Mesh smoothing using the Geometric Element Transformation Method
• On the theorem of Napoleon and related topics
• Algebraic Mesh Quality Metrics
• Mesh quality improvement: radial basis functions approach
• Laplacian smoothing and Delaunay triangulations
• Generation of three‐dimensional unstructured grids by the advancing‐front method
• Automatic three‐dimensional mesh generation by the finite octree technique
• Optimal Point Placement for Mesh Smoothing
• Tetrahedral mesh generation and optimization based on centroidal Voronoi tessellations
• Local optimization-based simplicial mesh untangling and improvement

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