A 2-dimensional shape optimization problem for tree branches
نویسندگان
چکیده
This paper is concerned with a shape optimization problem, where the functional to be maximized describes total sunlight collected by distribution of tree leaves, minus cost for transporting water and nutrient from base trunk all leaves. In case 2 space dimensions, solution proved unique, explicitly determined.
منابع مشابه
solution of security constrained unit commitment problem by a new multi-objective optimization method
چکیده-پخش بار بهینه به عنوان یکی از ابزار زیر بنایی برای تحلیل سیستم های قدرت پیچیده ،برای مدت طولانی مورد بررسی قرار گرفته است.پخش بار بهینه توابع هدف یک سیستم قدرت از جمله تابع هزینه سوخت ،آلودگی ،تلفات را بهینه می کند،و هم زمان قیود سیستم قدرت را نیز برآورده می کند.در کلی ترین حالتopf یک مساله بهینه سازی غیر خطی ،غیر محدب،مقیاس بزرگ،و ایستا می باشد که می تواند شامل متغیرهای کنترلی پیوسته و گ...
Numerical Solution of a Shape Optimization Problem
This paper is concerned with the identification of the geometric structure of the boundary for a two-dimensional (stationary) elliptic equation. The domain identification problem is considered as a variational problem to minimize a defect functional, which utilizes some additional data on certain (known) parts of the boundary. The Gradient Projection Method is introduced for this problem and nu...
متن کاملOn optimal microstructures for a plane shape optimization problem
{ erw = Ae(uw), e(uw) = 21-(VUw + V u T ) , div ~rw = 0 in co, erw.n = f on 0f2, O'w.n = 0 on Ow\OQ, (1) where uw is the displacement vector, e(uw) is the strain tensor, and o-w is the stress tensor. The compliance of the structure is defined by 1 I n t r o d u c t i o n Solving structural optimization problems by the homogenization method, amounts to find extremal microstructures which maximiz...
متن کاملOn optimal microstructures for a plane shape optimization problem
{ erw = Ae(uw), e(uw) = 21-(VUw + V u T ) , div ~rw = 0 in co, erw.n = f on 0f2, O'w.n = 0 on Ow\OQ, (1) where uw is the displacement vector, e(uw) is the strain tensor, and o-w is the stress tensor. The compliance of the structure is defined by 1 I n t r o d u c t i o n Solving structural optimization problems by the homogenization method, amounts to find extremal microstructures which maximiz...
متن کاملOn optimal microstructures for a plane shape optimization problem
{ erw = Ae(uw), e(uw) = 21-(VUw + V u T ) , div ~rw = 0 in co, erw.n = f on 0f2, O'w.n = 0 on Ow\OQ, (1) where uw is the displacement vector, e(uw) is the strain tensor, and o-w is the stress tensor. The compliance of the structure is defined by 1 I n t r o d u c t i o n Solving structural optimization problems by the homogenization method, amounts to find extremal microstructures which maximiz...
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: Networks and Heterogeneous Media
سال: 2021
ISSN: ['1556-1801', '1556-181X']
DOI: https://doi.org/10.3934/nhm.2020031