Results 41 to 50 of about 13,234 (254)
Computation of Eigenvalues for Nonlocal Models by Spectral Methods [PDF]
, 2023 The purpose of this work is to study spectral methods to approximate the eigenvalues of nonlocal integral operators. Indeed, even if the spatial domain is an interval, it is very chal-lenging to obtain closed analytical expressions for the
Lopez L. +5 more
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Discrete Dynamics in Nature and Society, 2009 The nonlocal boundary value problem for Schrödinger equation in a Hilbert space is considered. The second-order of accuracy 𝑟-modified Crank-Nicolson difference schemes for the approximate solutions of this nonlocal boundary value problem are presented ...
Allaberen Ashyralyev, Ali Sirma
doaj +1 more source
Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, EarlyView.The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley +1 more source
Space‐Time Coding Conformal Metasurfaces for Multifrequency Beam Steering and Shaping
Advanced Materials, EarlyView.Space‐time coding conformal metasurfaces enable dynamic wave control on curved surfaces by combining programmable spatial patterns with temporal modulation. This study shows that a single conformal aperture can independently manipulate multiple frequency components, achieving multifunctional beam shaping and steering, with implications for ...
Filippo Pepe +8 more
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Regularity for a Local–Nonlocal Transmission Problem [PDF]
Archive for Rational Mechanics and Analysis, 2015 We formulate and study an elliptic transmission-like problem combining local and nonlocal elements. Let $\mathbb{R}^{n}$ be separated into two components by a smooth hypersurface $Γ$. On one side of $Γ$, a function satisfies a local second-order elliptic equation. On the other, it satisfies a nonlocal one of lower order.
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Advanced Science, EarlyView.Photonic time crystals (PTCs) are systems in which electromagnetic parameters are modulated periodically in time, producing momentum bandgaps via temporal scattering rather than spatial Bragg processes. This review examines the theoretical frameworks, modeling, and computational tools for time‐varying media, and summarizes experimental demonstrations ...
Ranjan Kumar Patel +3 more
wiley +1 more source
Positive solutions of a boundary value problem with integral boundary conditions [PDF]
, 2011 We consider boundary-value problems studied in a recent paper. We show that some existing theory developed by Webb and Infante applies to this problem and we use the known theory to show how to find improved estimates on parameters μ*, λ so ...
Webb, J.
core
On the nonlocal bending problem with fractional hereditariness [PDF]
, 2022 Nonlocal hereditariness in Bernoulli–Euler beam is investigated in this paper. An approach to solve that problem is proposed and some analytical solutions are provided.
Barretta R. +3 more
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Advanced Science, EarlyView.A metasurface‐enabled ultrasonic platform achieves precise multi‐focal control through biological barriers, real‐time physiology‐driven modulation, and simultaneous wireless power and data transmission. By unifying wavefront engineering, closed‐loop feedback, and acoustic communication, this work establishes key enabling technologies toward scalable ...
Chuanxin Zhang +3 more
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The Wiener Criterion for Nonlocal Dirichlet Problems
Communications in Mathematical Physics, 2023 39 ...
Minhyun Kim, Ki-Ahm Lee, Se-Chan Lee
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