A COST/BENEFIT ANALYSIS OF SIMPLICIAL MESH IMPROVEMENT TECHNIQUES AS MEASURED BY SOLUTION EFFICIENCY

DOI10.1142/S0218195900000218zbMath1074.68639OpenAlexW2102779916MaRDI QIDQ4682181

Lori Freitag, Carl F. Ollivier-Gooch

Publication date: 10 June 2005

Published in: International Journal of Computational Geometry & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218195900000218

zbMATH Keywords

mesh smoothingMesh improvementsolution efficiency

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Related Items (7)

An efficient optimization procedure for tetrahedral meshes by chaos search algorithm ⋮ Tetrahedral mesh generation using Delaunay refinement with non-standard quality measures ⋮ 2D and 3D finite element meshing and remeshing ⋮ Mesh shape-quality optimization using the inverse mean-ratio metric ⋮ Small polyhedron reconnection for mesh improvement and its implementation based on advancing front technique ⋮ A local discontinuous Galerkin gradient discretization method for linear and quasilinear elliptic equations ⋮ Mesh dependent stability and condition number estimates for finite element approximations of parabolic problems

Uses Software

• PETSc

Cites Work

• Properties of \(n\)-dimensional triangulations
• On the rate of convergence of the preconditioned conjugate gradient method
• A constrained optimization approach to finite element mesh smoothing
• A class of iterative methods for finite element equations
• Optismoothing: An optimization-driven approach to mesh smoothing
• Mesh Refinement Processes Based on the Generalized Bisection of Simplices
• How Fast are Nonsymmetric Matrix Iterations?
• On the Angle Condition in the Finite Element Method
• Influence of the Eigenvalue Spectrum on the Convergence Rate of the Conjugate Gradient Method
• Mesh Smoothing Using A Posteriori Error Estimates
• Three-Dimensional Triangulations from Local Transformations
• Construction of Three-Dimensional Improved-Quality Triangulations Using Local Transformations
• Multigrid acceleration of an upwind Euler solver on unstructured meshes
• Condition of finite element matrices generated from nonuniform meshes.

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