A comparison of optimization software for mesh shape-quality improvement problems.

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Simplicial mesh shape-quality can be improved by optimizing an objective function based on tetrahedral shape measures. If the objective function is formulated in terms of all elements in a given mesh rather than a local patch, one is confronted with a large-scale, nonlinear, constrained numerical optimization problem. We investigate the use of six general-purpose state-of-the-art solvers and two custom-developed methods to solve the resulting large-scale problem. The performance of each method is evaluated in terms of robustness, time to solution, convergence properties, and scalability on several two- and three-dimensional test cases.

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12 pages

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Freitag, L.; Knupp, P.; Munson, T. & Shontz, S. August 19, 2002.

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Simplicial mesh shape-quality can be improved by optimizing an objective function based on tetrahedral shape measures. If the objective function is formulated in terms of all elements in a given mesh rather than a local patch, one is confronted with a large-scale, nonlinear, constrained numerical optimization problem. We investigate the use of six general-purpose state-of-the-art solvers and two custom-developed methods to solve the resulting large-scale problem. The performance of each method is evaluated in terms of robustness, time to solution, convergence properties, and scalability on several two- and three-dimensional test cases.

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12 pages

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  • 11th International Meshing Roundtable, Ithaca, NY (US), 09/15/2002--09/18/2002

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  • Report No.: ANL/MCS/CP-108483
  • Grant Number: W-31-109-ENG-38
  • Office of Scientific & Technical Information Report Number: 801627
  • Archival Resource Key: ark:/67531/metadc741382

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  • August 19, 2002

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  • Oct. 19, 2015, 7:39 p.m.

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  • March 11, 2016, 5:08 p.m.

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Freitag, L.; Knupp, P.; Munson, T. & Shontz, S. A comparison of optimization software for mesh shape-quality improvement problems., article, August 19, 2002; Illinois. (digital.library.unt.edu/ark:/67531/metadc741382/: accessed December 18, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.