Results 51 to 60 of about 5,090,070 (358)

Iterative Methods for Double Saddle Point Systems

SIAM Journal on Matrix Analysis and Applications, 2018
We consider the iterative solution of a class of linear systems with double saddle point structure. Several block preconditioners for Krylov subspace methods are described and analyzed.
F. Beik, M. Benzi
semanticscholar   +1 more source

Elastic‐Wave Propagation in Chiral Metamaterials: A Couple‐Stress Theory Perspective

Advanced Engineering Materials, EarlyView.
The intrinsic chirality of chiral metamaterials renders an effective medium based on the classical continuum theory ineffective for predicting their acoustic activity. This limitation is addressed in the present study by employing augmented asymptotic homogenization to derive a couple‐stress‐based effective medium, enabling accurate predictions in the ...
Shahin Eskandari, Wanmin Xu, Slight Chen, Bilen Emek Abali, Valérie Orsat, Abdolhamid Akbarzadeh   +5 more
wiley   +1 more source

Enhanced Electromechanical Response in 1D Hybrid Perovskites: Coexistence of Normal and Relaxor Ferroelectric Phases

Advanced Functional Materials, EarlyView.
The dynamic polarization reversal of coexisting normal and relaxor ferroelectrics in 1D TMAPbI₃ (tetramethylammonium, TMA) is deciphered through combined experimental and theoretical approaches. By bridging atomic‐scale motion, macroscopic polarization switching, and depolarization effects, a universal methodology is established to engineer next ...
Chen Xue, Masaru Fujibayashi, Hengming Huang, Chisato Kato, Katsuya Ichihashi, Jun Manabe, Sadafumi Nishihara, Xiao‐Ming Ren, Takayoshi Nakamura   +8 more
wiley   +1 more source

Structurally unstable quadratic vector fields of codimension two: families possessing a finite saddle-node and an infinite saddle-node

Electronic Journal of Qualitative Theory of Differential Equations, 2021
In 1998, Artés, Kooij and Llibre proved that there exist 44 structurally stable topologically distinct phase portraits modulo limit cycles, and in 2018 Artés, Llibre and Rezende showed the existence of at least 204 (at most 211) structurally unstable ...
Joan Artés, Marcos Mota, Alex Rezende
doaj   +1 more source

Computational Modeling of Reticular Materials: The Past, the Present, and the Future

Advanced Materials, EarlyView.
Reticular materials are advanced materials with applications in emerging technologies. A thorough understanding of material properties at operating conditions is critical to accelerate the deployment at an industrial scale. Herein, the status of computational modeling of reticular materials is reviewed, supplemented with topical examples highlighting ...
Wim Temmerman, Ruben Goeminne, Kuber Singh Rawat, Veronique Van Speybroeck   +3 more
wiley   +1 more source

ϵ-Henig Saddle Points and Duality of Set-Valued Optimization Problems in Real Linear Spaces

The Scientific World Journal, 2013
We study ϵ-Henig saddle points and duality of set-valued optimization problems in the setting of real linear spaces. Firstly, an equivalent characterization of ϵ-Henig saddle point of the Lagrangian set-valued map is obtained.
Zhi-Ang Zhou
doaj   +1 more source

Error estimates for Euler discretization of high-index saddle dynamics [PDF]

arXiv, 2021
High-index saddle dynamics provides an effective means to compute the any-index saddle points and construct the solution landscape. In this paper we prove error estimates for Euler discretization of high-index saddle dynamics with respect to the time step size, which remains untreated in the literature. We overcome the main difficulties that lie in the
arxiv  

Covalent Organic Frameworks for Photocatalysis

Advanced Materials, EarlyView.
This review provides an overview of recent advances in covalent organic frameworks (COFs) for photocatalysis, focusing on sustainable energy applications like water splitting, hydrogen peroxide generation, and CO2 and N2 reduction. It discusses design principles, structure‐function relationships, challenges in COF photocatalysis, and strategies to ...
Bikash Mishra, Akhtar Alam, Avanti Chakraborty, Bidhan Kumbhakar, Samrat Ghosh, Pradip Pachfule, Arne Thomas   +6 more
wiley   +1 more source

Saddle Flow Dynamics: Observable Certificates and Separable Regularization [PDF]

arXiv, 2020
This paper proposes a certificate, rooted in observability, for asymptotic convergence of saddle flow dynamics of convex-concave functions to a saddle point. This observable certificate directly bridges the gap between the invariant set and the equilibrium set in a LaSalle argument, and generalizes conventional conditions such as strict convexity ...
arxiv  

The Antitriangular Factorization of Saddle Point Matrices [PDF]

SIAM Journal on Matrix Analysis and Applications, 2014
Mastronardi and Van Dooren [SIAM J. Matrix Anal. Appl., 34 (2013), pp. 173--196] recently introduced the block antitriangular (``Batman'') decomposition for symmetric indefinite matrices. Here we show the simplification of this factorization for saddle point matrices and demonstrate how it represents the common nullspace method.
Pestana, Jennifer, Wathen, Andrew
openaire   +4 more sources