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Multiscale modeling methods in biomechanics [PDF]

open access: yesWIREs Systems Biology and Medicine, 2017
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.
openaire   +4 more sources

Computational Multiscale Methods [PDF]

open access: yesOberwolfach Reports, 2020
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
openaire   +1 more source

Generalized Multiscale Finite Element Method for Elastic Wave Propagation in the Frequency Domain

open access: yesComputation, 2020
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
doaj   +1 more source

Landscape composition and configuration relatively affect invasive pest and its associator across multiple spatial scales

open access: yesFrontiers in Sustainable Food Systems, 2023
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
doaj   +1 more source

Computational Multiscale Methods [PDF]

open access: yesOberwolfach Reports, 2015
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
openaire   +1 more source

On sequential multiscale inversion and data assimilation [PDF]

open access: yes, 2018
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
core   +1 more source

Multiscale Hybrid-Mixed Method

open access: yesSIAM Journal on Numerical Analysis, 2013
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
openaire   +5 more sources

msBP: An R package to perform Bayesian nonparametric inference using multiscale Bernstein polynomials mixtures [PDF]

open access: yes, 2017
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
core   +3 more sources

Anti-Inflammatory Nanocarriers Based on SWCNTs and Bioactive Molecules of Oregano: An In Silico Study

open access: yesNanomanufacturing, 2022
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
doaj   +1 more source

Multiscale Model Reduction with Local Online Correction for Polymer Flooding Process in Heterogeneous Porous Media

open access: yesMathematics, 2023
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
doaj   +1 more source

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