Zobrazeno 1 - 10
of 3 793
pro vyhledávání: '"35j05"'
Autor:
Brilleslijper, Ronen, Fabert, Oliver
In symplectic topology one uses elliptic methods to prove rigidity results about symplectic manifolds and solutions of Hamiltonian equations on them, where the most basic example is given by geodesics on Riemannian manifolds. Harmonic maps from surfa
Externí odkaz:
http://arxiv.org/abs/2412.16223
We consider disordered finite systems of subwavelength resonators where the disorder is in the spatial arrangement of the resonators and their material parameters are perturbed randomly. We elucidate the mechanism of wave localisation in such systems
Externí odkaz:
http://arxiv.org/abs/2412.13954
This paper provides a general framework for deriving effective material properties of time-modulated systems of subwavelength resonators. It applies to subwavelength resonator systems with a general form of time-dependent parameters. We show that the
Externí odkaz:
http://arxiv.org/abs/2412.13545
In this paper, we review the construction of periodic fundamental solutions and periodic layer potentials for various differential operators. Specifically, we focus on the Laplace equation, the Helmholtz equation, the Lam\'e system, and the heat equa
Externí odkaz:
http://arxiv.org/abs/2412.13001
In this paper, we study the Vlasov-Poisson system with massless electrons (VPME) near quasineutrality and with uncertainties. Based on the idea of reformulation on the Poisson equation by [P. Degond et.al., $\textit{Journal of Computational Physics}$
Externí odkaz:
http://arxiv.org/abs/2412.05663
We present a matrix-free parallel scalable multilevel deflation preconditioned method for heterogeneous time-harmonic wave problems. Building on the higher-order deflation preconditioning proposed by Dwarka and Vuik (SIAM J. Sci. Comput. 42(2):A901-A
Externí odkaz:
http://arxiv.org/abs/2412.04980
Let $\Omega\subset\mathbb{R}^n$ with $n\ge 2$ be a bounded Lipschitz domain with outer unit normal $\nu$. For $\alpha\in\mathbb{R}$ let $R_\Omega^\alpha$ be the Laplacian in $\Omega$ with the Robin boundary condition $\partial_\nu u+\alpha u=0$, and
Externí odkaz:
http://arxiv.org/abs/2412.04061
Autor:
Yovel, Rachel, Treister, Eran
We present a novel block-preconditioner for the elastic Helmholtz equation, based on a reduction to acoustic Helmholtz equations. Both versions of the Helmholtz equations are challenging numerically. The elastic Helmholtz equation is larger, as a sys
Externí odkaz:
http://arxiv.org/abs/2411.15897
Autor:
Dias, Manuel, Tewodrose, David
The symmetrized Asymptotic Mean Value Laplacian $\tilde{\Delta}$, obtained as limit of approximating operators $\tilde{\Delta}_r$, is an extension of the classical Euclidean Laplace operator to the realm of metric measure spaces. We show that, as $r
Externí odkaz:
http://arxiv.org/abs/2411.10202
Autor:
Kuijpers, Safiere, Scarabosio, Laura
We consider the Bayesian approach to the inverse problem of recovering the shape of an object from measurements of its scattered acoustic field. Working in the time-harmonic setting, we focus on a Helmholtz transmission problem and then extend our re
Externí odkaz:
http://arxiv.org/abs/2410.23100