Abstract
This paper is concerned with a Newton ’s method for a kind of shape optimization problems. The first and the second variations of the object function are derived. These variations are discretized by introducing a set of boundary value problems in order to derive the second order numerical method. The boundary value problems are solved by the conventional finite element method. A simple numerical example is examined and shows the efficiency of the method.
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© 1989 International Federation for Information Processing
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Goto, Y., Fujii, N. (1989). A newton ’s method in a domain optimization problem. In: Simon, J. (eds) Control of Boundaries and Stabilization. Lecture Notes in Control and Information Sciences, vol 125. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0043356
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DOI: https://doi.org/10.1007/BFb0043356
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