Results 21 to 30 of about 69,208 (361)
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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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
Donald L. Brown, Daniel Peterseim
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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 +3 more
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A multiscale method for the heterogeneous Signorini problem [PDF]
Journal of Computational and Applied Mathematics, 2022 In this paper, we develop a multiscale method for solving the Signorini problem with a heterogeneous field. The Signorini problem is encountered in many applications, such as hydrostatics, thermics, and solid mechanics. It is well-known that numerically solving this problem requires a fine computational mesh, which can lead to a large number of degrees
Xin Su, Sai-Mang Pun
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Multiscale modeling methods in biomechanics [PDF]
WIREs 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.
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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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Frontiers 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
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Hybrid continuum–molecular modelling of multiscale internal gas flows [PDF]
, 2013 We develop and apply an efficient multiscale method for simulating a large class of low-speed internal rarefied gas flows. The method is an extension of the hybrid atomistic–continuum approach proposed by Borg et al.
Reese, Jason M. +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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A Numerical Multiscale Method for Fiber Networks [PDF]
14th WCCM-ECCOMAS Congress, 2021 Fiber network modeling can be used for studying mechanical properties of paper. The individual fibers and the bonds in-between constitute a detailed representation of the material. However, detailed microscale fiber network models must be resolved with efficient numerical methods.
Morgan Görtz +4 more
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