59 research outputs found
A Riemannian View on Shape Optimization
Shape optimization based on the shape calculus is numerically mostly
performed by means of steepest descent methods. This paper provides a novel
framework to analyze shape-Newton optimization methods by exploiting a
Riemannian perspective. A Riemannian shape Hessian is defined yielding often
sought properties like symmetry and quadratic convergence for Newton
optimization methods.Comment: 15 pages, 1 figure, 1 table. Forschungsbericht / Universit\"at Trier,
Mathematik, Informatik 2012,
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