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Computational Multiscale Methods [PDF]
Oberwolfach Reports, 2009 Workshop ...
Carsten Carstensen, Björn Engquist
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Bridging the multiscale hybrid-mixed and multiscale hybrid high-order methods [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2022 We establish the equivalence between the Multiscale Hybrid-Mixed (MHM) and the Multiscale Hybrid High-Order (MsHHO) methods for a variable diffusion problem with piecewise polynomial source term. Under the idealized assumption that the local problems defining the multiscale basis functions are exactly solved, we prove that the equivalence holds for ...
Chaumont-Frelet, Théophile +3 more
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Mathematics, 2023 We propose a generalized multiscale finite element method combined with a balanced truncation to solve a parameter-dependent parabolic problem. As an updated version of the standard multiscale method, the generalized multiscale method contains the ...
Shan Jiang +3 more
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A multiscale collocation method for fractional differential problems [PDF]
, 2018 We introduce a multiscale collocation method to numerically solve differential problems involving both ordinary and fractional derivatives of high order.
Pezza, L., Pitolli, F.
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Entropy, 2021 Wind turbine gearboxes operate in harsh environments; therefore, the resulting gear vibration signal has characteristics of strong nonlinearity, is non-stationary, and has a low signal-to-noise ratio, which indicates that it is difficult to identify wind
Xiaoan Yan +3 more
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Multiscale Analysis and Computation for the Three-Dimensional Incompressible Navier–Stokes Equations [PDF]
, 2008 In this paper, we perform a systematic multiscale analysis for the three-dimensional incompressible Navier–Stokes equations with multiscale initial data. There are two main ingredients in our multiscale method. The first one is that we reparameterize the
Hou, Thomas Y. +2 more
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Stress intensity factor analysis of epoxy/SWCNTs based on global-local multiscale method
Science and Engineering of Composite Materials, 2014 Carbon nanotube (CNT) is considered as a new generation of material possessing superior mechanical, thermal, and electrical properties. In this research, a multiscale finite element analysis is proposed to study the interaction between nanotubes and ...
Hemmatian Hossein +2 more
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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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Rolling Bearing Fault Diagnosis Based on VMD-MPE and PSO-SVM
Entropy, 2021 The goal of the paper is to present a solution to improve the fault detection accuracy of rolling bearings. The method is based on variational mode decomposition (VMD), multiscale permutation entropy (MPE) and the particle swarm optimization-based ...
Maoyou Ye, Xiaoan Yan, Minping Jia
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On sequential multiscale inversion and data assimilation [PDF]
, 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
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