Results 81 to 90 of about 22,063 (297)
A Fast Poisson Solver for Complex Geometries
Journal of Computational Physics, 1995 The paper presents a robust fast solver for the Dirichlet problem \(\Delta u(x) = g(x)\) in \(D\), \(u(x) = f(x)\) on \(\partial D\), where \(D\) is an interior or exterior domain in \(\mathbb{R}^ 2\). The boundary is assumed to be smooth, but it may consist of many components.
McKenney, A., Greengard, L., Mayo, A.
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Advanced Engineering Materials, EarlyView.Grain boundary triple junctions are an essential ingredient of the microstructure of polycrystalline materials. In this study, a triple junction is observed using atomic‐resolution scanning transmission electron microscopy and characterized. Computer simulations reveal that the junction has a dislocation character that is determined by the joining ...
Tobias Brink +4 more
wiley +1 more source
Poisson Geometry of Monic Matrix Polynomials [PDF]
International Mathematics Research Notices, 2015 We study the Poisson geometry of the first congruence subgroup $G_1[[z^{-1}]]$ of the loop group $G[[z^{-1}]]$ endowed with the rational r-matrix Poisson structure for $G=GL_m$ and $SL_m$. We classify all the symplectic leaves on a certain ind-subvariety of $G_1[[z^{-1}]]$ in terms of Smith Normal Forms.
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Poisson and Hochschild cohomology and the semiclassical limit [PDF]
, 2013 Let $B$ be a quantum algebra possessing a semiclassical limit $A$. We show that under certain hypotheses $B^e$ can be thought of as a deformation of the Poisson enveloping algebra of $A$, and we give a criterion for the Hochschild cohomology of $B$ to
Towers, Matthew
core
Design and Analysis of Compression–Torsion Coupling Metamaterials Using the Golden Section Method
Advanced Engineering Materials, EarlyView.A novel compression–torsion metamaterial is engineered using inclined rods and symmetry breaking. To optimize its torsional performance, the golden section method is employed. The mechanical response of the metamaterial is validated through both numerical analysis and experimental validation.
Amirhossein Hassani, Sara Bagherifard
wiley +1 more source
Advanced Functional Materials, EarlyView.Multiscale experiments and modeling reveal how Ti3C2Tx MXene nanosheets reinforce PVDF nanocomposites. An optimal MXene loading (∼1 wt.%) nearly doubles tensile strength through efficient stress transfer, flake alignment, and crack‐deflection mechanisms, transforming ductile polymer behavior into a controlled multi‐stage fracture pathway which aligns ...
Bita Soltan Mohammadlou +5 more
wiley +1 more source
RIS-Assisted Terahertz Clustered HetNets: Coverage and Rate Analysis
IEEE Open Journal of the Communications SocietyTerahertz (THz) transmission technologies hold significant potential for enabling ultra-broadband in next-generation networks. Despite the vast bandwidth offered by the THz, it faces significant challenges stemming from its limited transmission range.
Hadeel Obaid, Yongxu Zhu, Bo Tan
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Graded geometry and Poisson reduction [PDF]
, 2009 The main result of [2] extends the Marsden-Ratiu reduction theorem [4] in Poisson geometry, and is proven by means of graded geometry. In this note we provide the background material about graded geometry necessary for the proof in [2].
A. S. Cattaneo +7 more
core +1 more source
Machine Learning‐Assisted Inverse Design of Soft and Multifunctional Hybrid Liquid Metal Composites
Advanced Functional Materials, EarlyView.A machine learning framework is presented for inverse design of synthesizable multifunctional composites containing both liquid metal and solid inclusions. By integrating physics‐based modeling, data‐driven prediction, and Bayesian optimization, the approach enables intelligent design of experiments to identify optimal compositions and realize these ...
Lijun Zhou +5 more
wiley +1 more source
Drinfel’d double of bialgebroids for string and M theories: dual calculus framework
Journal of High Energy PhysicsWe extend the notion of Lie bialgebroids for more general bracket structures used in string and M theories. We formalize the notions of calculus and dual calculi on algebroids.
Aybike Çatal-Özer +2 more
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