Some results on thermal stress of layered plates and shells by using Unified Formulation [PDF]
, 2013 This work presents some results on two-dimensional modelling of thermal stress problems in multilayered structures. The governing equations are written by referring to the Unified Formulation (UF) introduced by the first author.
Argyris J. +19 more
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Block Iterative Eigensolvers for Sequences of Correlated Eigenvalue Problems [PDF]
, 2013 In Density Functional Theory simulations based on the LAPW method, each self-consistent field cycle comprises dozens of large dense generalized eigenproblems.
Berljafa, Mario, Di Napoli, Edoardo
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The Deep Ritz Method for Parametric $p$-Dirichlet Problems
, 2022 30 pages, 11 ...
Kaltenbach, Alex, Zeinhofer, Marius
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Variational Principle of Bogoliubov and Generalized Mean Fields in Many-Particle Interacting Systems [PDF]
, 2015 The approach to the theory of many-particle interacting systems from a unified standpoint, based on the variational principle for free energy is reviewed.
Kuzemsky, A. L.
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Observations and models for needle-tissue interactions [PDF]
, 2009 The asymmetry of a bevel-tip needle results in the needle naturally bending when it is inserted into soft tissue. In this study we present a mechanics-based model that calculates the deflection of the needle embedded in an elastic medium.
Misra, Sarthak +4 more
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Communications in Mathematical Research, 2020 Recent years have witnessed growing interests in solving partial differential equations by deep neural networks, especially in the high-dimensional case. Unlike classical numerical methods, such as finite difference method and finite element method, the enforcement of boundary conditions in deep neural networks is highly nontrivial.
Chen, Jingrun, Du, Rui, Wu, Keke
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Reaction Pathways Based on the Gradient of the Mean First-Passage Time
, 2002 Finding representative reaction pathways is necessary for understanding mechanisms of molecular processes, but is considered to be extremely challenging. We propose a new method to construct reaction paths based on mean first-passage times. This approach
Deyu Lu +4 more
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Analysis of nifH-RNA reveals phylotypes related to Geobacter and Cyanobacteria as important functional components of the N2-fixing community depending on depth and agricultural use of soil [PDF]
, 2017 In this survey, a total of 80 787 reads and 28 171 unique NifH protein sequences were retrieved from soil RNA. This dataset extends our knowledge about the structure and diversity of the functional diazotrophic communities in agricultural soils from ...
Aguilar, Orlando Mario +4 more
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Linear Stochastic Models of Nonlinear Dynamical Systems
, 1998 We investigate in this work the validity of linear stochastic models for nonlinear dynamical systems. We exploit as our basic tool a previously proposed Rayleigh-Ritz approximation for the effective action of nonlinear dynamical systems started from ...
B. A. Finlayson +17 more
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Skyrmionic magnetization configurations at chiral magnet/ferromagnet heterostructures [PDF]
, 2015 We consider magnetization configurations at chiral magnet (CM)/ferromagnet (FM) heterostructures. In the CM, magnetic skyrmions and spin helices emerge due to the Dzyaloshinskii-Moriya interaction, which then penetrate into the adjacent FM.
66953 +5 more
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