Results 31 to 40 of about 86 (68)

Assumed strain methods in micromechanics, laminate composite voxels and level sets

International Journal for Numerical Methods in Engineering, Volume 125, Issue 11, 15 June 2024.
Abstract This work deals with the composite voxel method, which—in its original form—furnishes voxels containing more than one material with a surrogate material law accounting for the heterogeneity in the voxel. We show that the laminate composite voxel technique naturally arises as an assumed strain method, that is, the general framework introduced ...
Jonas Lendvai, Matti Schneider
wiley   +1 more source

Compact convex sets free of inner points in infinite‐dimensional topological vector spaces

Mathematische Nachrichten, Volume 297, Issue 5, Page 1668-1677, May 2024.
Abstract An inner point of a non‐singleton convex set M$M$ is a point x∈M$x\in M$ satisfying that for all m∈M∖{x}$m\in M\setminus \lbrace x\rbrace$ there exists n∈M∖{m,x}$n\in M\setminus \lbrace m,x\rbrace$ such that x∈(m,n)$x\in (m,n)$. We prove the existence of convex compact subsets free of inner points in the infinite‐dimensional setting. Following
Almudena Campos‐Jiménez, Francisco Javier García‐Pacheco   +1 more
wiley   +1 more source

Delta‐points and their implications for the geometry of Banach spaces

Journal of the London Mathematical Society, Volume 109, Issue 5, May 2024.
Abstract We show that the Lipschitz‐free space with the Radon–Nikodým property and a Daugavet point recently constructed by Veeorg is in fact a dual space isomorphic to ℓ1$\ell _1$. Furthermore, we answer an open problem from the literature by showing that there exists a superreflexive space, in the form of a renorming of ℓ2$\ell _2$, with a Δ$\Delta ...
Trond A. Abrahamsen, Ramón J. Aliaga, Vegard Lima, André Martiny, Yoël Perreau, Antonín Prochazka, Triinu Veeorg   +6 more
wiley   +1 more source

Corrigendum to “Best approximation in polyhedral Banach spaces” [J. Approx. Theory 163 (11) (2011) 1748–1771]

Journal of Approximation Theory, 2014
Abstract The present note is a corrigendum to the paper “Best approximation in polyhedral Banach spaces”, J. Approx. Theory 163 (2011) 1748–1771.
V. P. Fonf, J. Lindenstrauss, L. Vesely
openaire   +2 more sources

A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics I. [PDF]

Rev Mat Complut, 2023
Comi GE, Stefani G.
europepmc   +1 more source

Numerical Analysis and Comparison of Three Iterative Methods Based on Finite Element for the 2D/3D Stationary Micropolar Fluid Equations. [PDF]

Entropy (Basel), 2022
Xing X, Liu D.
europepmc   +1 more source

Covering Convex Bodies and the Closest Vector Problem. [PDF]

Discrete Comput Geom, 2022
Naszódi M, Venzin M.
europepmc   +1 more source

The wigner property for CL-spaces and finite-dimensional polyhedral banach spaces – RETRACTION [PDF]

Proceedings of the Edinburgh Mathematical Society, 2021
Dongni Tan, Xujian Huang
openaire   +1 more source

Unit balls of polyhedral Banach spaces with many extreme points

Studia Mathematica
Let $E$ be a $(\mathrm{IV})$-polyhedral Banach space. We show that, for each $ε>0$, $E$ admits an $ε$-equivalent $\mathrm{(V)}$-polyhedral norm such that the corresponding closed unit ball is the closed convex hull of its extreme points. In particular, we obtain that every separable isomorphically polyhedral Banach space, for each $ε>0$, admits ...
openaire   +4 more sources

Hypoxis hemerocallidea alters metabolic parameters and hepatic histomorphology in streptozotocin-nicotinamide-induced diabetic male rats under antiretroviral therapy. [PDF]

Arch Med Sci, 2020
Onanuga IO, Jegede AI, Offor U, Ogedengbe OO, Naidu ECS, Peter AI, Azu OO.   +6 more
europepmc   +1 more source