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A Comparison of Two Optimization Methods for Mesh Quality Imprvement  (Make Corrections)  
Lori Freitag Diachin, Patrick Knupp, Todd Munson, Suzanne Shontz



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Abstract: We compare inexact Newton and coordinate descent optimization methods for improving the quality of a mesh by repositioning the vertices, where the overall quality is measured by the harmonic mean of the mean-ratio metric. The e#ects of problem size, element size heterogeneity, and various vertex displacement schemes on the performance of these algorithms are assessed for a series of tetrahedral meshes. (Update)

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BibTeX entry:   (Update)

@misc{ diachin-comparison,
  author = "Lori Freitag Diachin and Patrick Knupp and Todd Munson and Suzanne Shontz",
  title = "A Comparison of Two Optimization Methods for Mesh Quality Imprvement",
  url = "citeseer.ist.psu.edu/749838.html" }
Citations (may not include all citations):
525   Iterative Methods for Sparse Linear Systems (context) - Saad - 2003
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144   Numerical Optimization (context) - Nocedal, Wright - 1999
72   Minimization of Functions Having Lipschitz-Continuous First .. (context) - Armijo - 1966
50   Evaluating Derivatives: Principles and Techniques of Algorit.. (context) - Griewank - 2000
33   Mesh Smoothing Using A Posteriori Error Estimates - Bank, Smith - 1997
22   Optismoothing: An Optimization-Driven Approach to Mesh Smoot.. (context) - Canann, Stephenson et al. - 1993
13   A Constrained Optimization Approach to Finite Element Mesh S.. (context) - Parthasarathy, Kodiyalam - 1991
12   Algebraic Mesh Quality Metrics (context) - Knupp - 2001
6   A Discrete Variational Grid Generation Method (context) - Castillo - 1991
6   Grid Cell Volume Control with an Adaptive Grid Generator (context) - Anderson - 1990
5   Tetrahedral Mesh Improvement via Optimization of the Element.. - Freitag, Knupp - 2002
4   Mesh Shape-Quality Optimization Using the Inverse Mean-Ratio.. (context) - Munson
4   Optimization Strategies in Unstructured Mesh Generation - Zavattieri, Dari et al. - 2055
4   Mesh Shape-Quality Optimization Using the Inverse Mean-Ratio.. (context) - Munson - 2004
2   Matrix Norms and the Condition Number (context) - Knupp - 1999
2   Mesh Generation Toolkit (context) - Laboratories, New et al. - 2003
2   GRUMMP --- Generation and Refinement of Unstructured Mixed-E.. (context) - Ollivier-Gooch - 1998

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