Results 11 to 20 of about 264,907 (315)
On Convergence in Elliptic Shape Optimization [PDF]
SIAM Journal on Control and Optimization, 2007 This paper is aimed at analyzing the existence and convergence of approximate solutions in shape optimization. Two questions arise when one applies a Ritz-Galerkin discretization to solve the necessary condition: does there exists an approximate solution and how good does it approximate the solution of the original infinite dimensional problem?
Harbrecht, Helmut +2 more
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Shape Optimization by Pursuing Diffeomorphisms [PDF]
Computational Methods in Applied Mathematics, 2015 Abstract We consider PDE constrained shape optimization in the framework of finite element discretization of the underlying boundary value problem. We present an algorithm tailored to preserve and exploit the approximation properties of the finite element method, and that allows for arbitrarily high resolution of shapes. It employs (i) B-
Ralf Hiptmair, Alberto Paganini
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Aerospace, 2023 Compared with traditional wings equipped with conventional control surfaces, variable-camber morphing wings have become a hot research topic in the field of aviation due to their ability to maintain a smooth and continuous overall shape while ensuring ...
Sijia Jia +4 more
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Shape Optimization of Gravity Dams Using a Nature-Inspired Approach [PDF]
Journal of Soft Computing in Civil Engineering, 2020 In water infrastructures design problems, small changes in their geometries lead to a major variation in the construction time and costs. Dams are such important water infrastructures, which have different types regarding their materials and their ...
Ahmad Ferdowsi +4 more
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Journal of Thermal Science and Technology, 2020 In order to drastically accelerate the development processes of advanced heat exchangers, a new design framework integrating shape optimization, rapid prototyping and experimental validation is proposed.
Yukinori KAMETANI +3 more
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Journal of Marine Science and Engineering, 2021 In the field of parametric partial differential equations, shape optimization represents a challenging problem due to the required computational resources.
Nicola Demo +3 more
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Optimal shapes of compact strings [PDF]
Nature, 2000 Optimal geometrical arrangements, such as the stacking of atoms, are of relevance in diverse disciplines. A classic problem is the determination of the optimal arrangement of spheres in three dimensions in order to achieve the highest packing fraction; only recently has it been proved that the answer for infinite systems is a face-centred-cubic lattice.
MARITAN, AMOS +3 more
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Shape optimization for quadratic functionals and states with random right-hand sides [PDF]
, 2015 International audienceIn this work, we investigate a particular class of shape optimization problems under uncertainties on the input parameters. More precisely, we are interested in the minimization of the expectation of a quadratic objective in a ...
Dambrine, Marc +2 more
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Tạp chí Khoa học và Công nghệ, 2023 Superhydrophobic films (SHF) have recently increased in routine due to their non-wettable capacity. Superhydrophobicity can be occurred by making a micro-structural-post on materials with the surface having a low energy level.
Anh-Duc Pham
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Physical Review Letters, 2012 We present filling as a type of spatial subdivision problem similar to covering and packing. Filling addresses the optimal placement of overlapping objects lying entirely inside an arbitrary shape so as to cover the most interior volume. In n-dimensional space, if the objects are polydisperse n-balls, we show that solutions correspond to sets of ...
Phillips, Carolyn L. +3 more
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