Periodic unfolding for lattice structures
نویسندگان
چکیده
Abstract This paper deals with the periodic unfolding for sequences defined on one dimensional lattices in $${\mathbb {R}}^N$$ R N . In order to transfer known results of lattices, investigation functions as interpolation lattice nodes play main role. The asymptotic behavior information until first and second derivatives are shown. end, a direct application is given by homogenizing 4th Dirichlet problem lattice.
منابع مشابه
Complementary Periodic Structures for Miniaturization of Planar Antennas
In this paper various layered planar periodic structures which provide miniaturization of planar antennas are proposed and discussed. The proposed designs are based on two concepts, reactive impedance surfaces and complementary periodic structures. In the proposed structures, complementary periodic rings and slots are patterned on the intermediate boundaries of the dielectric layers. A patch an...
متن کاملUnfolding Lattice Polygons on Some Lattice Polyhedra∗
We consider the problem of unfolding lattice polygons embedded on the surface of some classes of lattice polyhedra. We show that an unknotted lattice polygon embedded on a lattice orthotube or orthotree can be convexified in O(n) moves and time, and a lattice polygon embedded on a lattice Tower of Hanoi or Manhattan Tower can be convexified in O(n) moves and time.
متن کاملError estimate and unfolding for periodic homogenization
This paper deals with the error estimate in problems of periodic homogenization. The methods used are those of the periodic unfolding. We give the upper bound of the distance between the unfolded gradient of a function belonging to H(Ω) and the space ∇xH(Ω)⊕∇yL(Ω;H per(Y )). These distances are obtained thanks to a technical result presented in Theorem 2.3 : the periodic defect of a harmonic fu...
متن کاملUnfolding first-principles band structures.
A general method is presented to unfold band structures of first-principles supercell calculations with proper spectral weight, allowing easier visualization of the electronic structure and the degree of broken translational symmetry. The resulting unfolded band structures contain additional rich information from the Kohn-Sham orbitals, and absorb the structure factor that makes them ideal for ...
متن کاملThe Periodic Unfolding Method in Perforated Domains
The periodic unfolding method was introduced in [4] by D. Cioranescu, A. Damlamian and G. Griso for the study of classical periodic homogenization. The main tools are the unfolding operator and a macro-micro decomposition of functions which allows to separate the macroscopic and microscopic scales. In this paper, we extend this method to the homogenization in domains with holes, introducing the...
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: Ricerche Di Matematica
سال: 2022
ISSN: ['1827-3491', '0035-5038']
DOI: https://doi.org/10.1007/s11587-022-00729-x