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Engineering with Computers

Seventeen criteria for evaluating Jacobian-based optimization metrics

  • 12-07-2023
  • Original Article
Published in:
Author
Patrick Knupp
Published in
Engineering with Computers | Issue 3/2024

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Abstract

The article introduces 17 criteria for evaluating Jacobian-based optimization metrics in mesh optimization, highlighting the importance of these metrics in improving mesh quality. It discusses the properties of these metrics, such as continuity, convexity, and invexity, and their role in ensuring effective mesh optimization. The criteria are applied to 80 candidate weighted Jacobian functions, with only 12 meeting all the requirements. The article also presents numerical optimization experiments to confirm the suitability of the top-rated metrics. The focus on these criteria helps in identifying reliable and efficient metrics for mesh optimization, making it a valuable resource for professionals in the field.
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previous article On why mesh untangling may not be required
next article Isogeometric analysis of shear-deformable, in-plane functionally graded microshells by Mindlin’s strain gradient theory
Title
Seventeen criteria for evaluating Jacobian-based optimization metrics
Author
Patrick Knupp
Publication date
12-07-2023
Publisher
Springer London
Published in
Engineering with Computers / Issue 3/2024
Print ISSN: 0177-0667
Electronic ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-023-01869-w
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