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New matrix-by-vector multiplications based on a nonoverlapping domain decomposition data distribution [chapter]

Gundolf Haase
1997 Lecture Notes in Computer Science  
The nonoverlapping domain decomposition (DD) method allows to store vectors as accumulated or as distributed (each process stores a part of that value) vectors.  ...  This paper is concerned with the accumulated matrices and investigates conditions under which matrix-by-vector multiplications can be realized.  ...  The nonoverlapping domain decomposition (DD) data distribution following the ideas in 7, 8] allows to store vectors as accumulated (each process stores the full value) or as distributed (each process  ... 
doi:10.1007/bfb0002806 fatcat:ocdydxyy4jak5cmka7ncykfnwm

A survey of parallel solvers for the finite element method in computational electromagnetics

B. Butrylo, F. Musy, L. Nicolas, R. Perrussel, R. Scorretti, C. Vollaire
2004 Compel  
New trends in parallel methods used to solve Finite Element matrix systems are presented: standard iterative and direct solving methods first, and then domain decomposition methods.  ...  For example, the current status and properties of two prevailing programming environments (PVM and MPI) are finally given and compared when implemented together with a Finite Element Time Domain formulation  ...  Domain Decomposition Methods A natural way to create solvers for partial differential equations on parallel computers is the decomposition technique based on a decomposition of the spatial domain of the  ... 
doi:10.1108/03321640410510721 fatcat:mvl4shtqlvetresr4h4sxxmw2i

A Parallel Implementation of a Two-Level Overlapping Schwarz Method with Energy-Minimizing Coarse Space Based on Trilinos

Alexander Heinlein, Axel Klawonn, Oliver Rheinbach
2016 SIAM Journal on Scientific Computing  
We describe a new implementation of a two-level overlapping Schwarz preconditioner with energy-minimizing coarse space (GDSW) and show numerical results for an additive and a hybrid additive-multiplicative  ...  The coarse space is related to that of FETI-DP (Finite Element Tearing and Interconnecting) and BDDC (Balancing Domain Decomposition by Constraints) methods [42] , and, as with FETI-DP and BDDC methods  ...  The vectors are distributed according to the map of the nonoverlapping decomposition which overlaps only in the interface degrees of freedom.  ... 
doi:10.1137/16m1062843 fatcat:xckcvm2mcrbzxpvoocb2atydaa

Rotation invariant texture characterization and retrieval using steerable wavelet-domain hidden Markov models

M.N. Do, M. Vetterli
2002 IEEE transactions on multimedia  
We present a new statistical model for characterizing texture images based on wavelet-domain hidden Markov models.  ...  With a small number of parameters, the new model captures both the subband marginal distributions and the dependencies across scales and orientations of the wavelet descriptors.  ...  ACKNOWLEDGMENT The authors would like to thank A. Lozano for her help with the experiments.  ... 
doi:10.1109/tmm.2002.802019 fatcat:l6l4oon4tnd7lf4rh3z3yx3kym

NUMERICAL ANALYSIS OF A COUPLED FINITE-INFINITE ELEMENT METHOD FOR EXTERIOR HELMHOLTZ PROBLEMS

JEAN-CHRISTOPHE AUTRIQUE, FRÉDÉRIC MAGOULÈS
2006 Journal of Computational Acoustics  
Parallel algorithms, like sub-structuring and domain decomposition methods, have shown to be very efficient for solving huge linear systems arising from acoustics.  ...  New numerical results illustrate the efficiency of this method for academic test cases and industrial problems alike.  ...  Gerdès for the useful discussions, comments and remarks on this paper.  ... 
doi:10.1142/s0218396x06002925 fatcat:qloxnvxdnbdczlusocg5usdq2m

Texture Classification by Bit-plane Multifractal Spectrum and Bit-plane Barycentric Coordinates of Wavelet Coefficients Based on SVD

Shu-li WANG, Guan-xiang WANG
2017 DEStech Transactions on Computer Science and Engineering  
A new texture classification method based on singular value decomposition(SVD) and wavelet transform is presented. Wavelet transform is employed on texture images having been preprocessed with SVD.  ...  The elements of the signature vector of an image are the fractal dimensions and barycentric coordinates of the bit planes of the wavelet coefficients in both the 3-Level high frequency domains and the  ...  In this paper, a new texture classification method based on SVD and wavelet transform is presented.  ... 
doi:10.12783/dtcse/cnsce2017/8875 fatcat:2fzcskkohja6pou72mntong4xu

Domain Decomposition Methods in Feel++ [chapter]

Abdoulaye Samaké, Vincent Chabannes, Christophe Picard, Christophe Prud'homme
2014 Lecture Notes in Computational Science and Engineering  
This paper presents our ongoing work on building a versatile domain decomposition methods framework in FEEL++ that provides expressivity (e.g. closeness to the mathematical language) and efficiency.  ...  It was granted access to the HPC resources of TGCC@CEA made available within the Distributed European Computing Initiative by the PRACE-2IP, receiving funding from the European Community's Seventh Framework  ...  This ongoing work has been sponsored by ANR-Cosinus-HAMM and the Region Rhone-Alpes.  ... 
doi:10.1007/978-3-319-05789-7_37 fatcat:z3sc45kzqjggxcaflina6qhyq4

Rotation-invariant texture retrieval with gaussianized steerable pyramids

G. Tzagkarakis, B. Beferull-Lozano, P. Tsakalides
2006 IEEE Transactions on Image Processing  
This paper presents a novel rotation-invariant image retrieval scheme based on a transformation of the texture information via a steerable pyramid.  ...  The similarity between two distinct texture images is measured by minimizing a rotation-invariant version of the Kullback-Leibler Divergence between their corresponding multivariate Gaussian distributions  ...  Recently, a new framework for statistical signal processing based on wavelet-domain hidden Markov models has been proposed [24] , [25] .  ... 
doi:10.1109/tip.2006.877356 pmid:16948315 fatcat:q23otywtnjanve2nhloxcbwmyy

A Parallel Jacobi--Davidson-type Method for Solving Large Generalized Eigenvalue Problems in Magnetohydrodynamics

Margreet Nool, Auke van der Ploeg
2000 SIAM Journal on Scientific Computing  
We apply a complete block LU decomposition in which reordering strategies based on a combination of block cyclic reduction and domain decomposition result in a well-parallelizable algorithm.  ...  Numerical results obtained on a distributed memory Cray T3E are shown.  ...  They gratefully acknowledge Cray Research for a sponsored account on the Cray T3D, and the Dutch National Computing Facilities Foundation NCF for the provision of computer time on the Cray 112 MARGREET  ... 
doi:10.1137/s106482759933290x fatcat:yygpxz3utbdvtohlby7uhzidhy

Domain decomposition and parallel processing of a finite element model of the shallow water equations

I.M. Navon, Y. Cai
1993 Computer Methods in Applied Mechanics and Engineering  
We present nonoverlapping domain decomposition techniques applied to a two-stage Numerov-Galerkin finite element model of the shallow water equations over a limited-area domain.  ...  Various stages of the finite element solution are parallelized and the code is implemented on a four processor CRAY Y-MP supercomputer applying multitasking techniques in a dedicated environment.  ...  Acknowledgment The research of the second author is supported by the Air Force grant AFOSR-89-0462 through the Geophysical Fluid Dynamics Institute of the Florida State University and the DOE grant 120053223  ... 
doi:10.1016/0045-7825(93)90190-9 fatcat:vdmh4vzor5hyvf4gfhrn2fhb34

A Nonoverlapping Domain Decomposition Method for Symm's Equation for Conformal Mapping

Tobin A. Driscoll
1999 SIAM Journal on Numerical Analysis  
This solution technique is extended here to include nonoverlapping domain decomposition.  ...  Degrees of freedom are introduced on one or more interfaces and different unknowns are used, leading to a system of second-kind equations.  ...  Our mechanism will be to introduce new quantities on an artificial interface in the channel, creating a nonoverlapping domain decomposition.  ... 
doi:10.1137/s0036142997324162 fatcat:r3dkzueeqneffkpozhrfyvydua

Two-Level Schwarz Methods for a Discontinuous Galerkin Approximation of Elliptic Problems with Jump Coefficients

Yingzhi Liu, Yinnian He
2020 Journal of Scientific Computing  
For the overlapping case adding an extra assumption of coefficient distribution, the similar conclusion is also obtained.  ...  , the number of subdomains and the mesh size for the nonoverlapping case.  ...  Acknowledgements The work of Yingzhi Liu and Yinnian He was supported by NSF of China (No. 11771348).  ... 
doi:10.1007/s10915-020-01257-2 fatcat:hifuduvjhrbtdarbzape445gkm

Page 4983 of Psychological Abstracts Vol. 79, Issue 12 [page]

1992 Psychological Abstracts  
are obtained based on the choice and received choice data matrices.  ...  Three expert judges rated the similarity of items on a 30-item multiple-choice test of study skills.  ... 

Information hiding techniques for infrared images: exploring the state-of-the art and challenges

Victor Pomponiu, Davide Cavagnino, Marco Botta, Hossein Nejati, David A. Huckridge, Reinhard Ebert, Mark T. Gruneisen, Miloslav Dusek, John G. Rarity
2015 Electro-Optical and Infrared Systems: Technology and Applications XII; and Quantum Information Science and Technology  
Infrared images are widely used by the law enforcement, Homeland Security and military organizations to achieve a significant advantage or situational awareness, and thus is vital to protect these data  ...  In this context, we analyze the efficiency of several optimal decoding schemes for the watermark inserted into the Singular Value Decomposition (SVD) domain of the IR images using an additive spread spectrum  ...  THE SINGULAR VALUE DECOMPOSITION One of the most interesting and important developments of linear algebra is the concept of Singular Value Decomposition (SVD) of matrices.  ... 
doi:10.1117/12.2196071 fatcat:rck67jnu6za5fhtyc3u57wl5gi

Non-intrusive Subdomain POD-TPWL Algorithm for Reservoir History Matching [article]

Cong Xiao, Olwijn Leeuwenburgh, Hai Xiang Lin, Arnold Heemink
2018 arXiv   pre-print
This paper presents a non-intrusive subdomain POD-TPWL (SD POD-TPWL) algorithm for reservoir data assimilation through integrating domain decomposition (DD), radial basis function (RBF) interpolation and  ...  From the local sequence of snapshots over each subdomain, a number of local basis vectors is formed using POD, and then the RBF interpolation is used to estimate the derivative matrices for each subdomain  ...  Acknowledgment We thank the research funds by China Scholarship Council (CSC) and Delft University of Technology.  ... 
arXiv:1806.04135v1 fatcat:7kegw6xpxfbm3jrsshiky2tfpy
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