On curvature control in node-based shape optimization

Schmitt O, Steinmann P (2015)

Publication Language: English

Publication Type: Conference contribution

Publication year: 2015

Publisher: Wiley

City/Town: Lecce, Italy

Book Volume: -

Pages Range: 579-580

Conference Proceedings Title: PAMM

Event location: Lecce, Italy IT

DOI: 10.1002/pamm.201510279


We present and compare three approaches to control of the curvature of the domain boundary in two–dimensional shape optimization. Since the coordinates of the FE–nodes are used as design variables, objective and constraint functions have to be formulated in terms of the nodal coordinates. Therefore we investigate various formulations for the curvature of the domain boundary in terms of the coordinates of the boundary nodes. In addition, the sensitivities of these expressions with respect to the design nodes are required for the application of gradient–based optimization algorithms.

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How to cite


Schmitt, O., & Steinmann, P. (2015). On curvature control in node-based shape optimization. In PAMM (pp. 579-580). Lecce, Italy, IT: Lecce, Italy: Wiley.


Schmitt, Oliver, and Paul Steinmann. "On curvature control in node-based shape optimization." Proceedings of the GAMM 2015, Lecce, Italy Lecce, Italy: Wiley, 2015. 579-580.

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