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International Journal for Numerical Methods in Fluids, 2011
SUMMARYWe restrict the variational multiscale method to a class of methods we denote by numerical multiscale methods. Numerical multiscale methods are methods obtained by enriching the piecewise linear functions with special local functions. The enrichment provides additional stabilization via terms obtained by static condensation.
Alvaro L. G. A. Coutinho +2 more
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SUMMARYWe restrict the variational multiscale method to a class of methods we denote by numerical multiscale methods. Numerical multiscale methods are methods obtained by enriching the piecewise linear functions with special local functions. The enrichment provides additional stabilization via terms obtained by static condensation.
Alvaro L. G. A. Coutinho +2 more
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A Multiscale Finite-Element-Method
Civil-Comp Proceedings, 1997Abstract This paper describes a hierarchical overlay of a p -version finite element approximation on a coarse mesh and an h -approximation on a geometrically independent fine mesh. The length scales of the local problem may be some orders of magnitude below the scale of the global problem.
R. Krause, Ernst Rank
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Methods for Multiscale Modeling of Membranes
2012Multiscale modeling is a recent approach to simulating molecular systems, such as membranes and liposomes, in which different levels of detail are combined. By using distinct models, it is often possible to speed up or enrich the sampling of a given system.
Albert J. Markvoort +7 more
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Multiscale and Stabilized Methods
2017Abstract : This article presents an introduction to multiscale and stabilized methods, which represent unified approaches to modeling and numerical solution of fluid dynamic phenomena. Finite element applications are emphasized but the ideas are general and apply to other numerical methods as well.
Guglielmo Scovazzi +2 more
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The wavelet response as a multiscale NDT method
Ultrasonics, 2003We analyze interfaces by using reflected waves in the framework of the wavelet transform. First, we introduce the wavelet transform as an efficient method to detect and characterize a discontinuity in the acoustical impedance profile of a material. Synthetic examples are shown for both an isolated reflector and multiscale clusters of nearby defects. In
Le Gonidec, Y., Conil, F., Gibert, D.
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Frequency and Multiscale Methods
2018Like the methods covered in Chap. 3, the methods based on frequency or scale-space decompositions belong to the older methods in image processing. In this case, the basic idea is to transform an image into a different representation in order to determine its properties or carry out manipulations.
Kristian Bredies, Dirk A. Lorenz
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Heterogeneous multiscale method: A general methodology for multiscale modeling
Physical Review B, 2003The heterogeneous multiscale method, is presented as a general methodology for an efficient numerical computation of problems with multiple scales. The method relies on an efficient coupling between the macroscopic and microscopic models. In case the macroscopic model is not explicitly available or is invalid in part of the domain, the microscopic ...
Zhongyi Huang, Weinan E, Björn Engquist
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A meshless adaptive multiscale method for fracture
Computational Materials Science, 2015Abstract The paper presents a multiscale method for crack propagation. The coarse region is modelled by the differential reproducing kernel particle method. Fracture in the coarse scale region is modelled with the Phantom node method. A molecular statics approach is employed in the fine scale where crack propagation is modelled naturally by breaking ...
D. Roy Mahapatra +8 more
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A multiscale contrast enhancement method
Proceedings of International Conference on Image Processing, 2002This paper contributes a novel approach to contrast enhancement. The proposed approach measures local contrast within the context of a nonlinear scale-space representation. The original image is locally probed at multiple resolutions generated through anisotropic diffusion.
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