Results 31 to 40 of about 12,751,481 (301)
Multiscale Hybrid-Mixed Method
SIAM Journal on Numerical Analysis, 2013 This work presents a priori and a posteriori error analyses of a new multiscale hybrid-mixed method (MHM) for an elliptic model. Specially designed to incorporate multiple scales into the construction of basis functions, this finite element method relaxes the continuity of the primal variable through the action of Lagrange multipliers, while assuring ...
Rodolfo Araya +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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The spectrum of the force-based quasicontinuum operator for a homogeneous periodic chain [PDF]
, 2012 We show under general conditions that the linearized force-based quasicontinuum (QCF) operator has a real, positive spectrum. The spectrum is identical to that of the quasinonlocal quasicontinuum (QNL) operator in the case of second-neighbor interactions.
Ortner, C. +4 more
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Multiscale methods for the segmentation of images [PDF]
1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings, 2002 This work presents a method for segmenting images based on gradients in the intensity function. Past approaches have centered on formulating the problem in the context of variational calculus as the minimization of a functional involving the image intensity and edge functions.
Michael K. Schneider +3 more
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Coarse-grained modeling of multiscale diffusions : the p-variation estimates [PDF]
, 2010 We study the problem of estimating parameters of the limiting equation of a multiscale diffusion in the case of averaging and homogenization, given data from the corresponding multiscale system.
Papavasiliou, Anastasia +1 more
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On multiscale methods in Petrov–Galerkin formulation [PDF]
Numerische Mathematik, 2015 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 multiscale space with good approximation properties and a high dimensional remainder space{, which only ...
Daniel Elfverson +2 more
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Shape classification via image-based multiscale description [PDF]
, 2011 We introduce a new multiscale Fourier-based object description in 2-D space using a low-pass Gaussian filter (LPGF) and a high-pass Gaussian filter (HPGF), separately.
Mark S. Nixon +3 more
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Image-based Multiscale Shape Description using Gaussian Filter [PDF]
, 2008 In shape recognition, a multiscale description provides more information about the object, increases discrimination power and immunity to noise. In this paper, we develop a new multiscale Fourier-based object description in 2-D space using a low-pass ...
Cem Direkoglu +3 more
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Multiscale discontinuous Petrov–Galerkin method for the multiscale elliptic problems [PDF]
Numerical Methods for Partial Differential Equations, 2017 In this article, we present a new multiscale discontinuous Petrov–Galerkin method (MsDPGM) for multiscale elliptic problems. This method utilizes the classical oversampling multiscale basis in the framework of a Petrov–Galerkin version of the discontinuous Galerkin method, allowing us to better cope with multiscale features in the solution.
Fei Song, Weibing Deng
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Finite element heterogeneous multiscale methods for the wave equation [PDF]
, 2013 Wave phenomena appear in a wide range of applications such as full-waveform seismic inversion, medical imaging, or composite materials. Often, they are modeled by the acoustic wave equation.
Stohrer, Christian
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