An asymptotic numerical method for inverse elastic shape design

@article{Chen2014AnAN,
  title={An asymptotic numerical method for inverse elastic shape design},
  author={Xiang Chen and Changxi Zheng and Weiwei Xu and Kun Zhou},
  journal={ACM Trans. Graph.},
  year={2014},
  volume={33},
  pages={95:1-95:11}
}
Inverse shape design for elastic objects greatly eases the design efforts by letting users focus on desired target shapes without thinking about elastic deformations. Solving this problem using classic iterative methods (e.g., Newton-Raphson methods), however, often suffers from slow convergence toward a desired solution. In this paper, we propose an asymptotic numerical method that exploits the underlying mathematical structure of specific nonlinear material models, and thus runs orders of… CONTINUE READING
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