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Multiscale modeling methods in biomechanics [PDF]
More and more frequently, computational biomechanics deals with problems where the portion of physical reality to be modeled spans over such a large range of spatial and temporal dimensions, that it is impossible to represent it as a single space–time continuum. We are forced to consider multiple space–time continua, each representing the phenomenon of
Bhattacharya, P., Viceconti, M.
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Computational Multiscale Methods [PDF]
Many physical processes in material sciences or geophysics are characterized by inherently complex interactions across a large range of nonseparable scales in space and time. The resolution of all features on all scales in a computer simulation easily exceeds today’s computing resources by multiple orders of magnitude. The observation and prediction of
Björn Engquist, Daniel Peterseim
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Generalized Multiscale Finite Element Method for Elastic Wave Propagation in the Frequency Domain
In this work, we consider elastic wave propagation in fractured media. The mathematical model is described by the Helmholtz problem related to wave propagation with specific interface conditions (Linear Slip Model, LSM) on the fracture in the frequency ...
Uygulana Gavrilieva +2 more
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Landscape structures affect pests, depending on compositional heterogeneity (the number and proportions of different habitats), configurational heterogeneity (spatial arrangement of habitats), and spatial scales.
Zhi Wen +15 more
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Computational Multiscale Methods [PDF]
Almost all processes in engineering and the sciences are characterised by the complicated relation of features on a large range of nonseparable spatial and time scales. The workshop concerned the computer-aided simulation of such processes, the underlying numerical algorithms and the mathematics behind them to foresee their performance in practical ...
Carsten Carstensen +2 more
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On sequential multiscale inversion and data assimilation [PDF]
Multiscale approaches are very popular for example for solving partial differential equations and in many applied fields dealing with phenomena which take place on different levels of detail.
Nadeem, Aamir +2 more
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Multiscale Hybrid-Mixed Method
This work presents a priori and a posteriori error analyses of a new multiscale hybrid-mixed method (MHM) for an elliptic model. Specially designed to incorporate multiple scales into the construction of basis functions, this finite element method relaxes the continuity of the primal variable through the action of Lagrange multipliers, while assuring ...
Araya, Rodolfo +3 more
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msBP: An R package to perform Bayesian nonparametric inference using multiscale Bernstein polynomials mixtures [PDF]
msBP is an R package that implements a new method to perform Bayesian multiscale nonparametric inference introduced by Canale and Dunson (2016). The method, based on mixtures of multiscale beta dictionary densities, overcomes the drawbacks of Pólya trees
Canale, Antonio
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We studied two main bioactive molecules of oregano, carvacrol and thymol, in the present work. These bioactive conformers are linked to single wall carbon nanotubes (SWCNT) and so-called functionalized SWCNT (f-SWCNT) to find their application as anti ...
Erik Díaz-Cervantes +2 more
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In this work, we consider a polymer flooding process in heterogeneous media. A system of equations for pressure, water saturation, and polymer concentration describes a mathematical model.
Maria Vasilyeva, Denis Spiridonov
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