Corpus ID: 229212582

Pre-Shape Calculus: Foundations and Application to Mesh Quality Optimization

@article{Luft2020PreShapeCF,
  title={Pre-Shape Calculus: Foundations and Application to Mesh Quality Optimization},
  author={D. Luft and V. Schulz},
  journal={arXiv: Optimization and Control},
  year={2020}
}
  • D. Luft, V. Schulz
  • Published 2020
  • Mathematics, Computer Science
  • arXiv: Optimization and Control
Deformations of the computational mesh arising from optimization routines usually lead to decrease of mesh quality or even destruction of the mesh. We propose a theoretical framework using pre-shapes to generalize classical shape optimization and -calculus. We define pre-shape derivatives and derive according structure and calculus theorems. In particular, tangential directions are featured in pre-shape derivatives, in contrast to classical shape derivatives featuring only normal directions… Expand

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