Results 111 to 120 of about 3,669,023 (333)
High Frequency limit of the Helmholtz Equations
Revista Matemática Iberoamericana, 2002 We derive the high frequency limit of the Helmholtz equations in terms of quadratic observables. We prove that it can be written as a stationary Liouville equation with source terms. Our method is based on the Wigner Transform, which is a classical tool for evolution dispersive equations.
Benamou, Jean-David +3 more
openaire +5 more sources
Advanced Functional Materials, EarlyView.Cuttlebone‐inspired metamaterials exploit a septum‐wall architecture to achieve excellent mechanical and functional properties. This review classifies existing designs into direct biomimetic, honeycomb‐type, and strut‐type architectures, summarizes governing design principles, and presents a decoupled design framework for interpreting multiphysical ...
Xinwei Li, Zhendong Li
wiley +1 more source
Clean Up Behind You ‐ Novel Patterning Approach for Solid Immersion Lenses
Advanced Functional Materials, EarlyView.A focused ion beam (FIB) milling strategy enables rapid fabrication of solid immersion lenses (SILs) with smooth, debris‐free surfaces eliminating the need for post‐processing. The optimized pattern improves efficiency and surface quality. SILs containing NV centers are also investigated, confirming the technique's suitability for quantum and photonic ...
Aleksei Tsarapkin +10 more
wiley +1 more source
TASK Quarterly, 2008 A new iterative non-overlapping domain decomposition method is proposed for solving the one- and two-dimensional Helmholtz equation on parallel computers. The spectral collocation method is applied to solve the Helmholtz equation in each subdomain based
SŁAWOMIR KUBACKI, ANDRZEJ BOGUSŁAWSKI
doaj
Spectral multigrid methods for the solution of homogeneous turbulence problems [PDF]
New three-dimensional spectral multigrid algorithms are analyzed and implemented to solve the variable coefficient Helmholtz equation. Periodicity is assumed in all three directions which leads to a Fourier collocation representation.
Erlebacher, G. +2 more
core +1 more source
Numerical wave propagation for the triangular $P1_{DG}$-$P2$ finite element pair
, 2010 Inertia-gravity mode and Rossby mode dispersion properties are examined for discretisations of the linearized rotating shallow-water equations using the $P1_{DG}$-$P2$ finite element pair on arbitrary triangulations in planar geometry.
Arakawa +22 more
core +1 more source
Hypercomplex Factorization of the Helmholtz Equation
Zeitschrift für Analysis und ihre Anwendungen, 1986 The main result of this paper is the construction of a global hypercomplex factorization of the Dirichiet problem for the Helmholtz equation. This result permits the reduction of the considered boundary value problem into two boundary value problems of first order for generalized analytic functions.
openaire +2 more sources
Constructing Ionic Fast Diffusion Channels on LiNi0.5Mn1.5O4 for Lithium‐Ion Batteries
Advanced Functional Materials, EarlyView.A dual‐modification strategy is developed for LNMO cathode, where bulk Ti doping stabilizes the oxygen framework and simultaneously drives the in situ formation of LaTi2O6 nano‐islands as ion diffusion channels on (111) surfaces, enabling high‐rate capacity (∼100 mAh g−1 at 30 C) and excellent cycling retention (87.8% after 1000 cycles).
Xinyi Zhang +10 more
wiley +1 more source
Shifted Laplacian multigrid for the elastic Helmholtz equation
, 2018 The shifted Laplacian multigrid method is a well known approach for preconditioning the indefinite linear system arising from the discretization of the acoustic Helmholtz equation.
Treister, Eran
core
Preconditioned iterative solution of the 2D Helmholtz equation [PDF]
, 2002 Using a finite element method to solve the Helmholtz equation leads to a sparse system of equations which in three dimensions is too large to solve directly.
Giles, M. B., Laird, Alistair L.
core