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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.
A.L.G.A. Coutinho +2 more
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Wavelet and Multiscale Methods
Oberwolfach Reports, 2005The Wavelet and Multiscale Methods workshop, organized by Albert Cohen (Paris), Wolfgang Dahmen (Aachen), Ronald A. DeVore (Columbia) and Angela Kunoth (Bonn) was held July 11–17, 2004. A central objective was to bring together leading researchers working in a variety of different areas where multiscale phenomena play an intrinsic role regarding the ...
Albert Cohen +3 more
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Multiscale Methods for Polyhedral Regularizations
SIAM Journal on Optimization, 2013In this paper we present the extension and generalization of the adaptive inverse scale space (aISS) method proposed for $\ell^1$ regularization in [Math. Comp., 82 (2013), pp. 269--299] to arbitrary polyhedral functions. We will see that the representation of a convex polyhedral function as a finitely generated function allows us to conclude that the ...
Michael Möller 0001, Martin Burger 0001
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A multiscale image segmentation method
Pattern Recognition, 2016This paper presents a novel image segmentation framework that combines image segmentation and feature extraction into a unified model. The proposed model consists of two parts: the segmentation part and the multiscale decomposition part. In the model, the segmentation part relies on the image intensities in the regions of interest while the multiscale ...
Yafeng Li, Xiangchu Feng
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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.
Rank, E., Krause, R.
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A Multiscale Discontinuous Galerkin Method
2006We propose a new class of Discontinuous Galerkin (DG) methods based on variational multiscale ideas. Our approach begins with an additive decomposition of the discontinuous finite element space into continuous (coarse) and discontinuous (fine) components.
Pavel B. Bochev +2 more
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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.
Goga, Nicolae +7 more
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Multiscale Methods for Composites: A Review
Archives of Computational Methods in Engineering, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kanouté, P. +3 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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A Multiscale Method for Epitaxial Growth
Multiscale Modeling & Simulation, 2011In this paper we investigate a heterogeneous multiscale method (HMM) for interface tracking and apply the technique to the simulation of epitaxial growth. HMM relies on an efficient coupling between macroscale and microscale models. When the macroscale model is not fully known explicitly or not accurate enough, HMM provides a procedure for ...
Yi Sun, Russel Caflisch, Björn Engquist
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