Results 101 to 110 of about 1,498,610 (256)
Nonlinear nonlocal multicontinua upscaling framework and its applications
, 2018 In this paper, we discuss multiscale methods for nonlinear problems. The main idea of these approaches is to use local constraints and solve problems in oversampled regions for constructing macroscopic equations.
Chung, Eric T. +3 more
core +1 more source
PyGAMD: Python graphics processing unit‐accelerated molecular dynamics software
Materials Genome Engineering Advances, EarlyView.Python graphics processing unit‐accelerated molecular dynamics software is a molecular simulation platform developed for soft matter by integrating multiscale/coarse‐grained models and methods, which can be used for the design and screening of advanced materials of polymer, biomolecule, colloids, etc.
Jialei Xu +6 more
wiley +1 more source
An enriched multiscale mortar space for high contrast flow problems [PDF]
arXiv, 2016 Mortar methods are widely used techniques for discretizations of partial differential equations and preconditioners for the algebraic systems resulting from the discretizations. For problems with high contrast and multiple scales, the standard mortar spaces are not robust, and some enrichments are necessary in order to obtain an efficient and robust ...
arxiv
Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source
Some Applications of the Generalized Multiscale Finite Element Method [PDF]
, 2018 Many materials in nature are highly heterogeneous and their properties can vary at different scales. Direct numerical simulations in such multiscale media are prohibitively expensive and some types of model reduction are needed.
Fu, Shubin
core +1 more source
Computational multiscale methods for linear heterogeneous poroelasticity
, 2018 We consider a strongly heterogeneous medium saturated by an incompressible viscous fluid as it appears in geomechanical modeling. This poroelasticity problem suffers from rapidly oscillating material parameters, which calls for a thorough numerical ...
Altmann, Robert +4 more
core +1 more source
Homogenization of Solute Transport in Double Porosity Materials
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We propose a novel model for the transport of solute in a vascularized poroelastic material. Our structure comprises a poroelastic matrix with an embedded connected fluid compartment, and we consider a solute transported between the two subdomains.
Pietro Mascheroni +2 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper presents a system of partial differential equations designed to model fluid and nutrient transport within the growing tumor microenvironment. The fluid phase, representing both cells and extracellular fluids flowing within the interstitial space, is assumed to be intrinsically incompressible, so that growth can be modeled as a ...
Francesca Ballatore +2 more
wiley +1 more source
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT Concrete materials consist of multiple phases with distinct mechanical properties, making it essential to accurately identify the mechanical behavior of both constituent phases and their interfaces for effective multiscale modeling. This study estimates the elastic properties of the interfacial transition zone using a machine learning (ML ...
Jing Xue +3 more
wiley +1 more source
ANN‐Based Green's Function Approach for Reservoir Geomechanics
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT Green's functions have been a tool to analyze important reservoir geomechanics effects like subsidence, compaction, well closure, and permeability variation. However, the classical Green's function is related to linear elastic, homogenous, and geometrically simplified media.
Matheus L. Peres +2 more
wiley +1 more source