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Computability of Homogeneous Models
2007
Notre Dame Journal of Formal Logic
The material in Lange [ta1] and [ta2] is part of her Ph.D. dissertation for which Robert Soare and Denis Hirschfeldt are co-supervisers. ...
The first author presented some of these and other results at an A.M.S. Special Session on October 23, 2004 at Northwestern University, and also at an A.M.S. meeting at Notre Dame, April 8-9, 2006. ...
Two Approaches to Homogeneous Models There are two main approaches to studying the computable content of homogeneous models of a CD theory. ...
doi:10.1305/ndjfl/1172787551
fatcat:bbfqknx62jcfhgkhmsjfqrn2ty
Toric ideals of homogeneous phylogenetic models
2004
Proceedings of the 2004 international symposium on Symbolic and algebraic computation - ISSAC '04
We are able to compute the Grobner basis and Markov basis of the toric ideal of invariants for trees with up to 11 nodes. ...
We consider the phylogenetic tree model in which every node of the tree is observed and binary and the transitions are given by the same matrix on each edge of the tree. ...
Knowledge of the generators would allow us to easily compute whether given data came from the homogeneous Markov model from some specific phylogenetic tree. ...
doi:10.1145/1005285.1005308
dblp:conf/issac/Eriksson04
fatcat:oppjydss5bed5ov6z4cl5ww6xm
Numerical simulation of cavitating flows with homogeneous models
2009
Computers & Fluids
To simulate these flows by applying homogeneous models, an appropriate equation of state (EOS) is necessary to cover all possible fluid states (pure liquid, two-phase mixture and pure vapour). ...
The simulation of cavitating flows is a challenging problem both in terms of modelling the physics and developing robust numerical methodologies. ...
They are implemented using different approaches: the one-fluid method or homogeneous model, the two-fluid method and the hybrid method. ...
doi:10.1016/j.compfluid.2009.03.001
fatcat:4cng7h2vbrfjxpwlnh6q6c3lkm
Control of Opinions in an Ideologically Homogeneous Population
[chapter]
2009
Social Computing and Behavioral Modeling
G and the number of special agents. ...
If > .25 there is high probability of only 1 cluster for large numbers of agents Distance between the clusters tends to be 2 Current research focuses on cluster formation How many clusters form? ...
doi:10.1007/978-1-4419-0056-2_21
fatcat:map5wgumc5dorkf56qego3ehiq
Modeling of the Effective Properties of Metal Matrix Composites Using Computational Homogenization
2017
Applied Mechanics and Materials
This investigation is done using computational homogenization techniques. ...
element (FE) simulations were conducted in ABAQUS in combination with MATLAB, using material parameters for aluminum alloy AA2124 and silicon carbide SiC to develop a representative volume element (RVE) of ...
of the Research Training Group 1932 "Stochastic Models for Innovations in the Engineering Sciences" funded by DFG for providing the experimental data and microstructural images. ...
doi:10.4028/www.scientific.net/amm.869.94
fatcat:trqaorxe2zeujdkonucm7tkmjm
Density models for streamer discharges: Beyond cylindrical symmetry and homogeneous media
2012
Journal of Computational Physics
Streamer electrical discharges are often investigated with computer simulations of density models (also called drift-diffusion-reaction models). ...
We then report recent results from these models, emphasizing developments that go beyond cylindrically symmetrical streamers propagating in homogeneous media. ...
AL was supported by the Spanish Ministry of Science and Innovation, MICINN under project AYA2009-14027-C05-02 and by the Junta de Andalucia, Proyecto de Excelencia FQM-5965. ...
doi:10.1016/j.jcp.2011.04.019
fatcat:a54iivwmwrckrmnnpeldnieucu
Homogenization of a Darcy–Stokes system modeling vuggy porous media
2006
Computational Geosciences
We assume periodicity of the medium, and obtain uniform energy estimates independent of the period. ...
Through a two-scale homogenization limit as the period tends to zero, we obtain a macroscopic Darcy's law governing the medium on larger scales. ...
Formal Homogenization. We proceed to formally homogenize our system of equations in the usual manner [6, 11, 14, 22] . ...
doi:10.1007/s10596-006-9024-8
fatcat:pj44eb4r25dknj22sijx6rzcya
Homogenized couple stress model of optimal auxetic microstructures computed by topology optimization
2017
Zeitschrift für angewandte Mathematik und Mechanik
The effective mechanical properties of these auxetic structures have been computed in the framework of couple stress elasticity, allowing to identify both in-plane and out-of plane effective properties ...
The auxetic nature of the computed microstructures is demonstrated by both numerical and real experiments performed over samples fabricated by additive printing. ...
Based on the previous auxetic homogenized properties (e.g., a 1 × 1 cell), we will quantify the effects of the couple stress model on the macroscopic scale by evaluating the response of a macrobeam subjected ...
doi:10.1002/zamm.201700154
fatcat:sh5bgv3ryze3pncogfb7ksaaua
Mesomechanical aspects of computational modeling for non-homogeneous materials joined by forming
2017
Journal of King Saud University: Engineering Sciences
The industries and academics alike may benefit the mesomechanical aspects of computational modeling for materials joined by forming using the established theories known in the field of mechanics. ...
This article aims to contribute to the advancement of such computational idea. ...
Figure 7 Integration of the concepts into computational model in joining by forming with considerations of contact, local variation homogenization and interlayer fracture. ...
doi:10.1016/j.jksues.2014.03.005
fatcat:y56urzamgjhftb3hmicunhsmvy
On the homogeneity and isotropy of planar long fibre network computational models
2020
SN Applied Sciences
Since network generation stands at the beginning of the simulation process, the results of this study have relevance for all discrete computational approaches to modelling materials with long fibre network ...
This work focuses on computational methods for generating planar random networks composed of long fibres and on their effect on the 'randomness' , defined in terms of homogeneous fibre density and isotropic ...
For the generation of the network models, the single fibres need to be distributed within the modelling domain Ω c , for which the network properties of interest are computed. ...
doi:10.1007/s42452-020-2524-7
fatcat:d7umofwpezbnhlkhgraojst4ee
Numerical simulation of centrifuge tests on homogeneous and heterogeneous soil models
2012
Computers and geotechnics
Numerically simulated and recorded results support the conclusions of previous research that more EPWP is generated in a heterogeneous soil deposits than in the corresponding homogeneous soil. ...
Soil liquefaction is a major cause of seismic damage in cohessionless soil during earthquakes. ...
Recorded and computed settlement of building in test1 (homogeneous soil): (a) L1 and (b) L2.
Fig. 7 . 7 Recorded and computed accelerations in test1 (homogeneous soil). ...
doi:10.1016/j.compgeo.2011.11.008
fatcat:c56x4v2nfrekpamjmoa6omumnm
The Biot–Darcy–Brinkman model of flow in deformable double porous media; homogenization and numerical modelling
2019
Computers and Mathematics with Applications
The model has been implemented in the finite element code SfePy which is well-suited for computational homogenization. ...
The second step of the homogenization leads to a macroscopic model involving three equations for displacements, the mesoscopic flow velocity and the micropore pressure. ...
Introduction The fluid-saturated porous media (FSPM) present an important field of contemporary research in multiscale mathematical modelling and computational methods. ...
doi:10.1016/j.camwa.2019.04.004
fatcat:jcn4dpejora7lhqqxglkczhm4u
A poro-viscoelastic substitute model of fine-scale poroelasticity obtained from homogenization and numerical model reduction
2020
Computational Mechanics
Numerical model reduction is exploited for computational homogenization of the model problem of a poroelastic medium under transient conditions. ...
The present model represents an extension of models available in literature in the sense that the pressure gradient is allowed to have a non-zero macro-scale component in the nested FE 2 setting. ...
To view a copy of this licence, visit http://creativecomm ons.org/licenses/by/4.0/. ...
doi:10.1007/s00466-019-01808-x
fatcat:reuczipl3fc57bio7hzthomo4e
Computer Modelling of the Optical Behavior of Homogenizers in High-Flux Solar Furnaces
2021
Energies
The geometry of the concentrator defines the features of the concentrated flux and then the characteristics of a particular homogenizer must be chosen according to the envisaged use. ...
The obtained results provide valuable information for the use of these optical devices and may contribute to the development of more efficient strategies for homogenization of concentrated radiation generated ...
These devices can therefore be modelled by sets of flat, convex, polygons, as commonly used in computer graphics, to simplify mathematics. ...
doi:10.3390/en14071828
fatcat:uxwcrmjzzbazpmb3pgpin2eyia
Performance evaluation and application of computation based low-cost homogeneous machine learning model algorithm for image classification
[article]
2020
arXiv
pre-print
The homogeneous models, trained with the full instead of subsets of data, contains varying hyper-parameters and neural layers from one another. ...
The image classification machine learning model was trained with the intention to predict the category of the input image. ...
Utilizing the cost effectiveness of cloud-computing, massive quantities of software embed machine learning models as a portion of the cloud infrastructure. ...
arXiv:2010.08087v1
fatcat:m7xp2iyvdvecvhwk7ggnpkn6ke
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