Results 111 to 120 of about 3,283,376 (328)
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
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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
Frontier Advances of Emerging High‐Entropy Anodes in Alkali Metal‐Ion Batteries
Advanced Functional Materials, EarlyView.Recent advances in microscopic morphology control of high‐entropy anode materials for alkali metal‐ion batteries. Abstract With the growing demand for sustainable energy, portable energy storage systems have become increasingly critical. Among them, the development of rechargeable batteries is primarily driven by breakthroughs in electrode materials ...
Liang Du +14 more
wiley +1 more source
Novel Functional Materials via 3D Printing by Vat Photopolymerization
Advanced Functional Materials, EarlyView.This Perspective systematically analyzes strategies for incorporating functionalities into 3D‐printed materials via Vat Photopolymerization (VP). It explores the spectrum of achievable functionalities in recently reported novel materials—such as conductive, energy‐storing, biodegradable, stimuli‐responsive, self‐healing, shape‐memory, biomaterials, and
Sergey S. Nechausov +3 more
wiley +1 more source
An inverse problem for Helmholtz′s equation [PDF]
International Journal of Mathematics and Mathematical Sciences, 1987 The refraction coefficient in Helmholtz′s equation is found from the knowledge of a family of the solutions to this equation on two lines.
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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
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
Advanced Healthcare Materials, EarlyView.This study presents guanidinium‐ and indole‐functionalized polyphosphoesters as degradable, non‐viral gene delivery vectors. Through precise tuning of charge density and hydrophobicity, these polymers form stable polyplexes with low toxicity. Remarkably, minor structural changes yield up to 200‐fold differences in transfection efficiency, highlighting ...
Markus Kötzsche +8 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