Explicit relaxation of a variational problem in optimal design
نویسندگان
چکیده
منابع مشابه
Explicit Relaxation of a Variational Problem in Optimal Design by Robert v. Kohn and Gilbert Strang
for vector-valued functions u on Lipschitz domains Q c R. The right side of (1) is the relaxation of the left, cf. [1]. Each infimum is over u G if(Q;R), lsupp Vu denotes the characteristic function of the support of Vu, and \Vu\ = E(<hi7cte*)The left side of (1) is a problem of optimal design: it minimizes Area(H \ S) + fQ \Vus\ 2 dx, among all sets S c O , where us solves the variational problem
متن کاملRelaxation of an optimal design problem for the heat equation
We consider the heat equation in (0, T ) × Ω, Ω ⊂ R , N ≥ 1, and address the nonlinear optimal design problem which consists in finding the distribution in Ω of two given isotropic materials which minimizes a suitable cost functional depending on the heat flux. Both the case of a time-independent design and of the time-dependent one are analyzed. Well-posed relaxations of the two problems are o...
متن کاملQuasiconvexification in 3-d for a Variational Reformulation of an Optimal Design Problem in Conductivity
We analyze a typical 3-D conductivity problem which consists in seeking the optimal layout of two materials in a given design domain Ω ⊂ IR by minimizing the L-norm of the electric field under a constraint on the amount on each material that we can use. We utilize a characterization of the three-dimensional divergence-free vector fields which is especially appropriate for a variational reformul...
متن کاملOptimal Capacities in Discrete Facility Location Design Problem
Network location models comprise one of the main categories of location models. These models have various applications in regional and urban planning as well as in transportation, distribution, and energy management. In a network location problem, nodes represent demand points and candidate locations to locate the facilities. If the links network is unchangeably determined, the problem will be ...
متن کاملinvestigating the integration of translation technologies into translation programs in iranian universities: basis for a syllabus design in translation technology
today, information technology and computers are indispensable tools of any profession and translation technologies have become an indispensable part of translator’s workstation. with the increasing demands for high productivity and speed as well as consistency and with the rise of new demands for translation and localization, it is necessary for translators to be familiar with market demands an...
ذخیره 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: Bulletin of the American Mathematical Society
سال: 1983
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-1983-15158-3