An Approach to Shape Optimization with State Constraints
نویسندگان
چکیده
منابع مشابه
A phase field approach to shape optimization in Navier-Stokes flow with integral state constraints
We consider the shape optimization of an object in Navier–Stokes flow by employing a combined phase field and porous medium approach, along with additional perimeter regularization. By considering integral control and state constraints, we extend the results of earlier works concerning the existence of optimal shapes and the derivation of first order optimality conditions. The control variable ...
متن کاملBayesian optimization with shape constraints
In typical applications of Bayesian optimization, minimal assumptions are made about the objective function being optimized. This is true even when researchers have prior information about the shape of the function with respect to one or more argument. We make the case that shape constraints are often appropriate in at least two important application areas of Bayesian optimization: (1) hyperpar...
متن کاملAn Approach to Reducing Overfitting in FCM with Evolutionary Optimization
Fuzzy clustering methods are conveniently employed in constructing a fuzzy model of a system, but they need to tune some parameters. In this research, FCM is chosen for fuzzy clustering. Parameters such as the number of clusters and the value of fuzzifier significantly influence the extent of generalization of the fuzzy model. These two parameters require tuning to reduce the overfitting in the...
متن کاملOptimization of Convex Shapes: An Approach to Crystal Shape Identification
We consider a shape identification problem of growing crystals. The shape of the crystal is to be constructed from a single interferometer measurement. This is an ill-posed inverse problem. The forward problem of interferogram from shape is injective if we restrict the problem to convex shapes with known boundary. The problem is formulated as a shape optimization problem. Our aim is to solve th...
متن کاملAn Optimization Approach to Improving Collections of Shape Maps
Finding an informative, structure-preserving map between two shapes has been a long-standing problem in geometry processing, involving a variety of solution approaches and applications. However, in many cases, we are given not only two related shapes, but a collection of them, and considering each pairwise map independently does not take full advantage of all existing information. For example, ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: PAMM
سال: 2012
ISSN: 1617-7061
DOI: 10.1002/pamm.201210331