Newton's method in shape optimisation: A three-dimensional case (Q1569891)
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scientific article; zbMATH DE number 1471141
| Language | Label | Description | Also known as |
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| English | Newton's method in shape optimisation: A three-dimensional case |
scientific article; zbMATH DE number 1471141 |
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Newton's method in shape optimisation: A three-dimensional case (English)
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27 February 2001
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The goal of the authors is to introduce a Newton method in computing the stationary points of a total energy with respect to the shape. The authors formulate a precise description of the second order shape derivative. It is given by a symmetric boundary integral operator, useful for numerical calculations. This method is applied to a particular shape optimization problem, the electromagnetic casting problem.
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shape optimization
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Newton method
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parallel computation
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boundary integral operator
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electromagnetic casting
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