Results 1 to 10 of about 50,691 (245)
Quasinonlocal coupling of nonlocal diffusions [PDF]
SIAM Journal on Numerical Analysis, 2017 We developed a new self-adjoint, consistent, and stable coupling strategy for nonlocal diffusion models, inspired by the quasinonlocal atomistic-to-continuum method for crystalline solids.
Li, Xingjie Helen, Lu, Jianfeng
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A Review of Local-to-Nonlocal Coupling Methods in Nonlocal Diffusion and Nonlocal Mechanics [PDF]
Journal of Peridynamics and Nonlocal Modeling, 2021 Local-to-Nonlocal (LtN) coupling refers to a class of methods aimed at combining nonlocal and local modeling descriptions of a given system into a unified coupled representation. This allows to consolidate the accuracy of nonlocal models with the computational expediency of their local counterparts, while often simultaneously removing additional ...
Marta D’Elia +4 more
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Formulation, analysis and computation of an optimization-based local-to-nonlocal coupling method
Results in Applied Mathematics, 2021 We present an optimization-based coupling method for local and nonlocal continuum models. Our approach couches the coupling of the models into a control problem where the states are the solutions of the nonlocal and local equations, the objective is to ...
Marta D’Elia, Pavel Bochev
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A quasinonlocal coupling method for nonlocal and local diffusion models [PDF]
SIAM Journal on Numerical Analysis, 2017 In this paper, we extend the idea of "geometric reconstruction" to couple a nonlocal diffusion model directly with the classical local diffusion in one dimensional space.
Du, Qiang +3 more
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A Variational Approach to Nonlocal Exciton-Phonon Coupling [PDF]
The Journal of Chemical Physics, 1996 In this paper we apply variational energy band theory to a form of the Holstein Hamiltonian in which the influence of lattice vibrations (optical phonons) on both local site energies (local coupling) and transfers of electronic excitations between ...
Bryksin V. V. +12 more
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Analysis of the influence of nonlocal factors on the vibration of Rayleigh nonlocal nanobeams on elastic foundations [PDF]
Scientific ReportsCurrently, existing Rayleigh Beam elastic theory models for nanobeams not only fail to account for the influence of foundation deformation on the beam but also neglect the length interactions between atomic lattices.
Kun Zhao +3 more
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Cavity-mediated coupling between local and nonlocal modes in Landau polaritons [PDF]
NanophotonicsThe multimode ultrastrong coupling (USC) regime has emerged as a novel platform for accessing previously inaccessible phenomena in cavity quantum electrodynamics.
Endo Sae R. +10 more
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Dbar‐approach to coupled nonlocal NLS equation and general nonlocal reduction [PDF]
Studies in Applied Mathematics, 2021 AbstractThe coupled nonlocal nonlinear Schrödinger (NLS) equation is studied by virtue of the Dbar‐problem. Two spectral transform matrices are introduced to define two associated Dbar‐problems. The relations between the coupled nonlocal NLS potential and the solution of the Dbar‐problem are constructed.
Wang, Xueru, Zhu, Junyi
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Nonlocal Detection of Interlayer Three-Magnon Coupling
Physical Review Letters, 2023 A leading nonlinear effect in magnonics is the interaction that splits a high-frequency magnon into two low-frequency ones with conserved linear momentum. Here, we report experimental observation of nonlocal three-magnon scattering between spatially separated magnetic systems, viz. a CoFeB nanowire and an yttrium iron garnet (YIG) thin film.
Lutong Sheng +15 more
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Approaches to study of multistability in spatio-temporal dynamics of two-age population [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2020 Purpose of the work is to study spatio-temporal dynamics of limited two-age structured populations that populate a 2D habitat and capable of long-range displacement of individuals. We proposed the model that is the network of nonlocally coupled nonlinear
Kulakov, Matvej Pavlovich +1 more
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