https://github.com/chiefenne/scaled_jacobian

Scaled Jacobian for iso-parametric mapping from parametric space to physical space for a quadrilateral
https://github.com/chiefenne/scaled_jacobian

Last synced: about 1 year ago
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Scaled Jacobian for iso-parametric mapping from parametric space to physical space for a quadrilateral

• Host: GitHub
• URL: https://github.com/chiefenne/scaled_jacobian
• Owner: chiefenne
• License: mit
• Created: 2021-10-26T09:30:36.000Z (over 4 years ago)
• Default Branch: main
• Last Pushed: 2021-10-26T10:07:12.000Z (over 4 years ago)
• Last Synced: 2025-02-14T05:41:18.271Z (over 1 year ago)
• Language: Jupyter Notebook
• Size: 189 KB
• Stars: 0
• Watchers: 2
• Forks: 1
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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# Scaled Jacobian for a quadrilateral

Scaled Jacobian for iso-parametric mapping from parametric space to physical space for a quadrilateral.

The scaled Jacobian can be used as a metric for the quality of a quadrilateral mesh element. It is defined by the ratio of the minimum and maximum of the Jacobian determinant of the element.

![](quadrilateral.png)

Above images show a quadrilateral (left), its isoparametric mapping Jacobian determinant (right). The scaled Jacobian for the quadrilateral is a scalar value, here .