Results 11 to 20 of about 194,948 (329)
Nanomanufacturing, 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
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Generalized Multiscale Finite Element Method for Elastic Wave Propagation in the Frequency Domain
Computation, 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
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Mathematics, 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
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The heterogeneous multiscale method [PDF]
Acta Numerica, 2012 The heterogeneous multiscale method (HMM), a general framework for designing multiscale algorithms, is reviewed. Emphasis is given to the error analysis that comes naturally with the framework. Examples of finite element and finite difference HMM are presented.
Assyr Abdulle +4 more
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The Heterognous Multiscale Methods [PDF]
Communications in Mathematical Sciences, 2003 The heterogenous multiscale method (HMM) is presented as a general methodology for the efficient numerical computation of problems with multiscales and multiphysics on multigrids. Both variational and dynamic problems are considered. The method relies on an efficent coupling between the macroscopic and microscopic models.
E, Weinan, Engquist, Bjorn
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A Multiscale Method for Porous Microstructures [PDF]
Multiscale Modeling & Simulation, 2016 In this paper we develop a multiscale method to solve problems in complicated porous microstructures with Neumann boundary conditions. By using a coarse-grid quasi-interpolation operator to define a fine detail space and local orthogonal decomposition, we construct multiscale corrections to coarse-grid basis functions with microstructure. By truncating
Brown, Donald L., Peterseim, Daniel
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A multiscale method for data assimilation [PDF]
Computational Geosciences, 2018 In data assimilation problems, various types of data are naturally linked to different spatial resolutions (e.g., seismic and electromagnetic data), and these scales are usually not coincident to the subsurface simulation model scale. Alternatives like upscaling/downscaling of the data and/or the simulation model can be used, but with potential loss of
Hadi Hajibeygi +3 more
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Fluids, 2021 In this paper, we consider the poroelasticity problem in fractured and heterogeneous media. The mathematical model contains a coupled system of equations for fluid pressures and displacements in heterogeneous media.
Aleksei Tyrylgin +4 more
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DG-GMsFEM for Problems in Perforated Domains with Non-Homogeneous Boundary Conditions
Computation, 2021 Problems in perforated media are complex and require high resolution grid construction to capture complex irregular perforation boundaries leading to the large discrete system of equations. In this paper, we develop a multiscale model reduction technique
Valentin Alekseev +3 more
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Multiscale methods for macromolecular simulations [PDF]
Current Opinion in Structural Biology, 2008 In this article we review the key modeling tools available for simulating biomolecular systems. We consider recent developments and representative applications of mixed quantum mechanics/molecular mechanics (QM/MM), elastic network models (ENMs), coarse-grained molecular dynamics, and grid-based tools for calculating interactions between essentially ...
Sherwood, P, Brooks, B, Sansom, MS
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