Newton's Method in Shape Optimisation: A Three-Dimensional Case
Copyright policy )Newton's Method in Shape Optimisation: A Three-Dimensional Case
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.
- UNIVERSITE DE NANCY II France
Numerical optimization and variational techniques, boundary integral operator, Parallel numerical computation, Optimization problems in optics and electromagnetic theory, Newton-type methods, Technical applications of optics and electromagnetic theory, Optimization of shapes other than minimal surfaces, Newton method, shape optimization, parallel computation, electromagnetic casting
Numerical optimization and variational techniques, boundary integral operator, Parallel numerical computation, Optimization problems in optics and electromagnetic theory, Newton-type methods, Technical applications of optics and electromagnetic theory, Optimization of shapes other than minimal surfaces, Newton method, shape optimization, parallel computation, electromagnetic casting
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