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Author : J. Dvorák
Publisher :
ISBN 13 :
Total Pages : 27 pages
Book Rating : 4.:/5 (897 download)
Download or read book A Reliable Numerical Method for Computing Homogenized Coefficients written by J. Dvorák and published by . This book was released on 1994 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jan Dvo·rák
Publisher :
ISBN 13 :
Total Pages : 27 pages
Book Rating : 4.:/5 (258 download)
Download or read book A Reliable Numerical Method for Computing Homogenized Coefficients written by Jan Dvo·rák and published by . This book was released on 1994 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mat-report written by and published by . This book was released on 1994 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michal Šejnoha
Publisher : WIT Press
ISBN 13 : 1845646827
Total Pages : 293 pages
Book Rating : 4.8/5 (456 download)
Download or read book Micromechanics in Practice written by Michal Šejnoha and published by WIT Press. This book was released on 2013 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book will concentrate on the application of micromechanics to the analysis of practical engineering problems. Both classical composites represented by carbon/carbon textile laminates and applications in Civil Engineering including asphalts and masonry structures will be considered. A common denominator of these considerably distinct material systems will be randomness of their internal structure. Also, owing to their complexity, all material systems will be studied on multiple scales. Since real engineering, rather than academic, problems are of the main interest, these scales will be treated independently from each other on the grounds of fully uncoupled multi-scale analysis. Attention will be limited to elastic and viscoelastic behaviour and to the linear heat transfer analysis. To achieve this, the book will address two different approaches to the homogenization of systems with random microstructures. In particular, classical averaging schemes based on the Eshelby solution of a solitary inclusion in an infinite medium represented by the Hashin-Shtrikman variational principles or by considerably simpler and more popular Mori-Tanaka method will be compared to detailed finite element simulations of a certain representative volume element (RVE) representing accommodated geometrical details of respective microstructures. These are derived by matching material statistics such as the one- and two-point probability functions of real and artificial microstructures. The latter one is termed the statistically equivalent periodic unit cell owing to the assumed periodic arrangement of reinforcements (carbon fibres, carbon fibre tows, stones or masonry bricks) in a certain matrix (carbon matrix, asphalt mastic, mortar). Other types of materials will be introduced in the form of exercises with emphases to the application of the Mori-Tanaka method in the framework of the previously mentioned uncoupled multi-scale analysis
Author : Axel Målqvist
Publisher : SIAM
ISBN 13 : 1611976456
Total Pages : 120 pages
Book Rating : 4.6/5 (119 download)
Download or read book Numerical Homogenization by Localized Decomposition written by Axel Målqvist and published by SIAM. This book was released on 2020-11-23 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the first survey of the Localized Orthogonal Decomposition (LOD) method, a pioneering approach for the numerical homogenization of partial differential equations with multiscale data beyond periodicity and scale separation. The authors provide a careful error analysis, including previously unpublished results, and a complete implementation of the method in MATLAB. They also reveal how the LOD method relates to classical homogenization and domain decomposition. Illustrated with numerical experiments that demonstrate the significance of the method, the book is enhanced by a survey of applications including eigenvalue problems and evolution problems. Numerical Homogenization by Localized Orthogonal Decomposition is appropriate for graduate students in applied mathematics, numerical analysis, and scientific computing. Researchers in the field of computational partial differential equations will find this self-contained book of interest, as will applied scientists and engineers interested in multiscale simulation.
Author : Changpin Li
Publisher : CRC Press
ISBN 13 : 148225381X
Total Pages : 300 pages
Book Rating : 4.4/5 (822 download)
Download or read book Numerical Methods for Fractional Calculus written by Changpin Li and published by CRC Press. This book was released on 2015-05-19 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Methods for Fractional Calculus presents numerical methods for fractional integrals and fractional derivatives, finite difference methods for fractional ordinary differential equations (FODEs) and fractional partial differential equations (FPDEs), and finite element methods for FPDEs.The book introduces the basic definitions and propertie
Author :
Publisher :
ISBN 13 :
Total Pages : 448 pages
Book Rating : 4.:/5 (5 download)
Download or read book R.A.I.R.O. written by and published by . This book was released on 1995 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yue Jin
Publisher : Frontiers Media SA
ISBN 13 : 283250518X
Total Pages : 153 pages
Book Rating : 4.8/5 (325 download)
Download or read book Numerical Methods and Computational Sciences Applied to Nuclear Energy written by Yue Jin and published by Frontiers Media SA. This book was released on 2022-11-11 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Boris N. Khoromskij
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 311036591X
Total Pages : 382 pages
Book Rating : 4.1/5 (13 download)
Download or read book Tensor Numerical Methods in Scientific Computing written by Boris N. Khoromskij and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-06-11 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most difficult computational problems nowadays are those of higher dimensions. This research monograph offers an introduction to tensor numerical methods designed for the solution of the multidimensional problems in scientific computing. These methods are based on the rank-structured approximation of multivariate functions and operators by using the appropriate tensor formats. The old and new rank-structured tensor formats are investigated. We discuss in detail the novel quantized tensor approximation method (QTT) which provides function-operator calculus in higher dimensions in logarithmic complexity rendering super-fast convolution, FFT and wavelet transforms. This book suggests the constructive recipes and computational schemes for a number of real life problems described by the multidimensional partial differential equations. We present the theory and algorithms for the sinc-based separable approximation of the analytic radial basis functions including Green’s and Helmholtz kernels. The efficient tensor-based techniques for computational problems in electronic structure calculations and for the grid-based evaluation of long-range interaction potentials in multi-particle systems are considered. We also discuss the QTT numerical approach in many-particle dynamics, tensor techniques for stochastic/parametric PDEs as well as for the solution and homogenization of the elliptic equations with highly-oscillating coefficients. Contents Theory on separable approximation of multivariate functions Multilinear algebra and nonlinear tensor approximation Superfast computations via quantized tensor approximation Tensor approach to multidimensional integrodifferential equations
Author : Jack Dongarra
Publisher : Springer
ISBN 13 : 354033498X
Total Pages : 1195 pages
Book Rating : 4.5/5 (43 download)
Download or read book Applied Parallel Computing written by Jack Dongarra and published by Springer. This book was released on 2006-02-27 with total page 1195 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Conference on Applied Parallel Computing, PARA 2004, held in June 2004. The 118 revised full papers presented together with five invited lectures and 15 contributed talks were carefully reviewed and selected for inclusion in the proceedings. The papers are organized in topical sections.
Author : Helmut J. Böhm
Publisher : Springer
ISBN 13 : 3709127769
Total Pages : 311 pages
Book Rating : 4.7/5 (91 download)
Download or read book Mechanics of Microstructured Materials written by Helmut J. Böhm and published by Springer. This book was released on 2014-05-04 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work deals with the thermomechanical mechanical behavior of microstructured materials, which has attracted considerable interest from both the academic and the industrial research communities. The past decade has witnessed major progress in the development of analytical as well as numerical modeling approaches and of experimental methods in this field. Considerable research efforts have been aimed at obtaining microstructure-property correlations and at studying the damage and failure behavior of microstructured materials. The book combines an overview of important analytical and numerical modeling approaches in continuum micromechanics and is aimed at academic and industrial researchers, such as materials scientists, mechanical engineers, and applied physicists, who are working or planning to work in the field of mechanics of microstructured materials such as composites, metals and ceramics.
Author : Milica Dussinger
Publisher :
ISBN 13 :
Total Pages : 190 pages
Book Rating : 4.:/5 (124 download)
Download or read book Numerical Methods for Averaging and Homogenization written by Milica Dussinger and published by . This book was released on 2020 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science and engineering are full of examples of multiscale problems, which pose severe challenges to numerical simulations. In multiscale problems, processes interact on different scales in space and time. Numerical methods, which by direct simulation fully resolves this interaction demands a tremendous amount of computational time as well as memory resources. The smallest scale should be well approximated over the full computational domain. This thesis is concerned with developing and studying numerical algorithms following the framework of the heterogeneous multiscale methods (HMM). We will focus on two numerical methods that mimic the analytical techniques of averaging and homogenization respectively. The goal is to approximate the effective or averaged solution even when the explicit analytic form may not be available. The computational challenge is to include the effects of the small scales without the cost of resolving them over the full domain. In the first part of the thesis, we focus on a class of methods for the numerical averaging of highly oscillatory ordinary differential equations. The algorithms will represent an extension to the previous work done by Tao, Owhadi and Marsden. We present analysis and apply the technique to model equations. In the second part of the thesis, we focus on methods for numerical computing the effective or homogenized form of multiscale elliptic equations. We present a procedure that reduces the effect from boundary conditions, or the so-called cell resonance error. This has been an active field of research during the last few years. We use averaging kernels that have special regularity and vanishing "negative" moment properties in order to average and thereby reduce the boundary error
Author : Jeffery Lewins
Publisher : Springer Science & Business Media
ISBN 13 : 1461337577
Total Pages : 415 pages
Book Rating : 4.4/5 (613 download)
Download or read book Advances in Nuclear Science and Technology written by Jeffery Lewins and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dur previous volume 14 was devoted to an exposition of the topics of sensitivity analysis and uncertainty theory with its development and application in nuclear reactor physics at the heart of the discussion. In this volume, we return to our customary format as a selection of topics of current interest, authored by those working in the field. These topics range from the theoretical underpinnings of the (linear) Boltzmann transport equation to a resume of our ex pectations in what still may be thought of as twenty-first century technology, the world's fusion reactor program. In the first article of this volume, we have Protopop escu's analysis of the structure of the Boltzmann equation and its solutions for energy and space-dependent problems of an eigenvalue nature. There long has been a curious "folk history" effect in this area~ Wigner and Weinberg could de scribe it as "what was generally known was generally untrue". This account of the Boltzmann equation surely will show that a rigorous basis for our expectations of certain solutions can be well-founded on analysis. Ely Gelbard's review of the methods of determining diffusion-type parameters in complex geometries where simple diffusion theory would be welcome has required just as much rigor to determine how such modeling can be made accurate, although to a more immediate and practical purpose. The two articles can be seen as interesting contrasts, facets of the same underlying problem showing apparently different aspects of the same central core.
Author : Fritz Stauffer
Publisher :
ISBN 13 : 9781901502367
Total Pages : 540 pages
Book Rating : 4.5/5 (23 download)
Download or read book Calibration and Reliability in Groundwater Modelling written by Fritz Stauffer and published by . This book was released on 2000 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jichun Li
Publisher : American Mathematical Soc.
ISBN 13 : 0821887378
Total Pages : 397 pages
Book Rating : 4.8/5 (218 download)
Download or read book Recent Advances in Scientific Computing and Applications written by Jichun Li and published by American Mathematical Soc.. This book was released on 2013-04-24 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Eighth International Conference on Scientific Computing and Applications, held April 1-4, 2012, at the University of Nevada, Las Vegas. The papers in this volume cover topics such as finite element methods, multiscale methods, finite difference methods, spectral methods, collocation methods, adaptive methods, parallel computing, linear solvers, applications to fluid flow, nano-optics, biofilms, finance, magnetohydrodynamics flow, electromagnetic waves, the fluid-structure interaction problem, and stochastic PDEs. This book will serve as an excellent reference for graduate students and researchers interested in scientific computing and its applications.
Author : Ivan Lirkov
Publisher : Springer
ISBN 13 : 3540788271
Total Pages : 754 pages
Book Rating : 4.5/5 (47 download)
Download or read book Large-Scale Scientific Computing written by Ivan Lirkov and published by Springer. This book was released on 2009-03-26 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coverage in this proceedings volume includes robust multilevel and hierarchical preconditioning methods, applications for large scale computations and optimization of coupled engineering problems, and applications of metaheuristics to large-scale problems.
Author : Antonio J.M. Ferreira
Publisher : Società Editrice Esculapio
ISBN 13 : 8874889771
Total Pages : 212 pages
Book Rating : 4.8/5 (748 download)
Download or read book ICCS19 19th International Conference on Composite Structures written by Antonio J.M. Ferreira and published by Società Editrice Esculapio. This book was released on 2016-08-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nowadays, it is quite easy to see various applications of fibrous composites, functionally graded materials, laminated composite, nano-structured reinforcement, morphing composites, in many engineering fields, such as aerospace, mechanical, naval and civil engineering. The increase in the use of composite structures in different engineering practices justify the present international meeting where researches from every part of the globe can share and discuss the recent advancements regarding the use of standard structural components within advanced applications such as buckling, vibrations, repair, reinforcements, concrete, composite laminated materials and more recent metamaterials. For this reason, the establishment of this 19th edition of International Conference on Composite Structures has appeared appropriate to continue what has been begun during the previous editions. ICCS wants to be an occasion for many researchers from each part of the globe to meet and discuss about the recent advancements regarding the use of composite structures, sandwich panels, nanotechnology, bio-composites, delamination and fracture, experimental methods, manufacturing and other countless topics that have filled many sessions during this conference. As a proof of this event, which has taken place in Porto (Portugal), selected plenary and keynote lectures have been collected in the present book.
