Results 1 to 10 of about 194,849 (230)
On Multiscale Methods in Petrov-Galerkin formulation [PDF]
Numerische Mathematik, 2014 In this work we investigate the advantages of multiscale methods in Petrov-Galerkin (PG) formulation in a general framework. The framework is based on a localized orthogonal decomposition of a high dimensional solution space into a low dimensional ...
Elfverson, Daniel +2 more
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Adaptive multiscale model reduction with Generalized Multiscale Finite Element Methods [PDF]
Journal of Computational Physics, 2016 In this paper, we discuss a general multiscale model reduction framework based on multiscale finite element methods. We give a brief overview of related multiscale methods. Due to page limitations, the overview focuses on a few related methods and is not
Chung, Eric +2 more
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msBP: An R Package to Perform Bayesian Nonparametric Inference Using Multiscale Bernstein Polynomials Mixtures [PDF]
Journal of Statistical Software, 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
Antonio Canale
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Multiscale methods for the wave equation [PDF]
PAMM, 2007 AbstractWe consider the wave equation in a medium with a rapidly varying speed of propagation. We construct a multiscale scheme based on the heterogeneous multiscale method, which can compute the correct coarse behavior of wave pulses traveling in the medium, at a computational cost essentially independent of the size of the small scale variations ...
Björn Engquist +2 more
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Baroclinic Instability of a Time-Dependent Zonal Shear Flow
Atmosphere, 2022 In the real atmosphere, the development of large-scale motion is often related to the baroclinic properties of the atmosphere. So, it is necessary to discuss the stability condition of baroclinic flow. It is advantageous to use a layered model to discuss
Chengzhen Guo, Jian Song
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Contrast-Independent Partially Explicit Time Discretizations for Quasi Gas Dynamics
Mathematics, 2022 In the paper, we study a design and stability of contrast-independent partially explicit time discretizations for Quasi-Gas-Dynamics (QGD) Equations in multiscale high-contrast media.
Boris Chetverushkin +2 more
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GKS and UGKS for High-Speed Flows
Aerospace, 2021 The gas-kinetic scheme (GKS) and the unified gas-kinetic scheme (UGKS) are numerical methods based on the gas-kinetic theory, which have been widely used in the numerical simulations of high-speed and non-equilibrium flows.
Yajun Zhu, Chengwen Zhong, Kun Xu
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Contrast-Independent, Partially-Explicit Time Discretizations for Nonlinear Multiscale Problems
Mathematics, 2021 This work continues a line of work on developing partially explicit methods for multiscale problems. In our previous works, we considered linear multiscale problems where the spatial heterogeneities are at the subgrid level and are not resolved. In these
Eric T. Chung +3 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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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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