Design Of Adaptive Finite Element Software

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Design of Adaptive Finite Element Software

Author : Alfred Schmidt
Publisher : Springer Science & Business Media
ISBN 13 : 3540271562
Total Pages : 329 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Design of Adaptive Finite Element Software by : Alfred Schmidt

Download or read book Design of Adaptive Finite Element Software written by Alfred Schmidt and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last years, scientific computing has become an important research branch located between applied mathematics and applied sciences and engineering. Highly efficient numerical methods are based on adaptive methods, higher order discretizations, fast linear and non-linear iterative solvers, multi-level algorithms, etc. Such methods are integrated in the adaptive finite element software ALBERTA. It is a toolbox for the fast and flexible implementation of efficient software for real life applications, based on modern algorithms. ALBERTA also serves as an environment for improving existent, or developing new numerical methods in an interplay with mathematical analysis and it allows the direct integration of such new or improved methods in existing simulation software.

Multiscale and Adaptivity: Modeling, Numerics and Applications

Author : Silvia Bertoluzza
Publisher : Springer
ISBN 13 : 3642240798
Total Pages : 314 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Multiscale and Adaptivity: Modeling, Numerics and Applications by : Silvia Bertoluzza

Download or read book Multiscale and Adaptivity: Modeling, Numerics and Applications written by Silvia Bertoluzza and published by Springer. This book was released on 2012-01-06 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of lecture notes for the CIME course on "Multiscale and Adaptivity: Modeling, Numerics and Applications," held in Cetraro (Italy), in July 2009. Complex systems arise in several physical, chemical, and biological processes, in which length and time scales may span several orders of magnitude. Traditionally, scientists have focused on methods that are particularly applicable in only one regime, and knowledge of the system on one scale has been transferred to another scale only indirectly. Even with modern computer power, the complexity of such systems precludes their being treated directly with traditional tools, and new mathematical and computational instruments have had to be developed to tackle such problems. The outstanding and internationally renowned lecturers, coming from different areas of Applied Mathematics, have themselves contributed in an essential way to the development of the theory and techniques that constituted the subjects of the courses.

Multiscale and Adaptivity: Modeling, Numerics and Applications

Author : Silvia Bertoluzza
Publisher : Springer Science & Business Media
ISBN 13 : 364224078X
Total Pages : 324 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Multiscale and Adaptivity: Modeling, Numerics and Applications by : Silvia Bertoluzza

Download or read book Multiscale and Adaptivity: Modeling, Numerics and Applications written by Silvia Bertoluzza and published by Springer Science & Business Media. This book was released on 2012-01-07 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of lecture notes for the CIME course on "Multiscale and Adaptivity: Modeling, Numerics and Applications," held in Cetraro (Italy), in July 2009. Complex systems arise in several physical, chemical, and biological processes, in which length and time scales may span several orders of magnitude. Traditionally, scientists have focused on methods that are particularly applicable in only one regime, and knowledge of the system on one scale has been transferred to another scale only indirectly. Even with modern computer power, the complexity of such systems precludes their being treated directly with traditional tools, and new mathematical and computational instruments have had to be developed to tackle such problems. The outstanding and internationally renowned lecturers, coming from different areas of Applied Mathematics, have themselves contributed in an essential way to the development of the theory and techniques that constituted the subjects of the courses.

The Essentials of Finite Element Modeling and Adaptive Refinement

Author : John O. Dow
Publisher : Momentum Press
ISBN 13 : 1606503340
Total Pages : 271 pages
Book Rating : 4.6/5 (65 download)

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Book Synopsis The Essentials of Finite Element Modeling and Adaptive Refinement by : John O. Dow

Download or read book The Essentials of Finite Element Modeling and Adaptive Refinement written by John O. Dow and published by Momentum Press. This book was released on 2012-07-01 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Element Analysis is a very popular, computer-based tool that uses a complex system of points called nodes to make a grid called a "mesh. " The mesh contains the material and structural properties that define how the structure will react to certain loading conditions, allowing virtual testing and analysis of stresses or changes applied to the material or component design. This groundbreaking text extends the usefulness of finite element analysis by helping both beginners and advanced users alike. It simplifies, improves, and extends both the finite element method while at the same time advancing adaptive refinement procedures. These improvements are made possible due to a change in notation that embeds knowledge of solid continuum mechanics into the equations used to formulate the stiffness matrices; this allows the modeling characteristics of individual elements to be identified by visual inspection. The ability to visually relate the equations involved in element formulation to the physical process they represent is like having an x-ray of the inner workings of the finite element method; it is similar is to the effect that Graphical User Interfaces or GUI's had on computing. As a result, students at any level of finite element study are provided with an understanding of the capabilities and limitations of this powerful analytic tool. The book presents * A more simplified approach to finite element analysis based on computational continuum mechanics * Physically interpretable notation that identifies a common basis for the finite element and the finite difference methods. * New point-wise error estimators that identify errors in terms of quantities of direct interest in solid mechanics

Machine Learning and Systems Engineering

Author : Sio-Iong Ao
Publisher : Springer Science & Business Media
ISBN 13 : 9048194199
Total Pages : 607 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Machine Learning and Systems Engineering by : Sio-Iong Ao

Download or read book Machine Learning and Systems Engineering written by Sio-Iong Ao and published by Springer Science & Business Media. This book was released on 2010-10-05 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: A large international conference on Advances in Machine Learning and Systems Engineering was held in UC Berkeley, California, USA, October 20-22, 2009, under the auspices of the World Congress on Engineering and Computer Science (WCECS 2009). Machine Learning and Systems Engineering contains forty-six revised and extended research articles written by prominent researchers participating in the conference. Topics covered include Expert system, Intelligent decision making, Knowledge-based systems, Knowledge extraction, Data analysis tools, Computational biology, Optimization algorithms, Experiment designs, Complex system identification, Computational modeling, and industrial applications. Machine Learning and Systems Engineering offers the state of the art of tremendous advances in machine learning and systems engineering and also serves as an excellent reference text for researchers and graduate students, working on machine learning and systems engineering.

A Posteriori Error Estimation Techniques for Finite Element Methods

Author : Rudiger Verfurth
Publisher : Oxford University Press
ISBN 13 : 0199679428
Total Pages : 414 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis A Posteriori Error Estimation Techniques for Finite Element Methods by : Rudiger Verfurth

Download or read book A Posteriori Error Estimation Techniques for Finite Element Methods written by Rudiger Verfurth and published by Oxford University Press. This book was released on 2013-04-18 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: A posteriori error estimation techniques are fundamental to the efficient numerical solution of PDEs arising in physical and technical applications. This book gives a unified approach to these techniques and guides graduate students, researchers, and practitioners towards understanding, applying and developing self-adaptive discretization methods.

Surface Modeling

Author : Tian-Xiang Yue
Publisher : CRC Press
ISBN 13 : 9781439817599
Total Pages : 711 pages
Book Rating : 4.8/5 (175 download)

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Book Synopsis Surface Modeling by : Tian-Xiang Yue

Download or read book Surface Modeling written by Tian-Xiang Yue and published by CRC Press. This book was released on 2011-02-04 with total page 711 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although GIS provides powerful functionality for spatial analysis, data overlay and storage, these spatially oriented systems lack the ability to represent temporal dynamics, which is a major impediment to its use in surface modeling. However, rapid development of computing technology in recent years has made real-time spatial analysis and real-time data visualization become realizable. Based on newly developed methods, Surface Modeling: High Accuracy and High Speed Methods explores solutions to big-error and slow-efficiency problems, two critical challenges that have long plagued those working in with geographical information system (GIS) and computer-aided design (CAD). By developing high accuracy and high speed methods for surface modeling, the book builds a bridge between the mathematical-oriented theory of surface modeling and the user-oriented application where the user is actually able to retrieve information on the method itself. The author examines a novel method of high accuracy surface modeling (HASM) in terms of the fundamental theorem of surfaces. He then analyzes the coefficient matrix and develops an adaptive method of HASM (HASM-AM), a multi-grade method of HASM (HASM-MG), and an adjustment method of HASM (HASM-AD). He uses numerical tests and real world studies to demonstrate that HASM-AM, HASM-MG, and HASM-AD have highly accelerated computational speed, especially for simulations with huge computational work. Building on this, the book discusses a HASM-based method for dynamic simulation (HASM-FDS), and then applies HASM methods to simulate terrains, climate change, ecosystem change, land cover, and soil properties. It demonstrates HASM's potential for simulating population distribution, human carrying capacity, ecosystem services, ecological diversity, change detection, and wind velocity. The book concludes with a discussion of the problems that exist in surface modeling on a global level and evaluates possible solutions to these problems.

Numerical Mathematics and Advanced Applications 2011

Author : Andrea Cangiani
Publisher : Springer Science & Business Media
ISBN 13 : 3642331343
Total Pages : 859 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Numerical Mathematics and Advanced Applications 2011 by : Andrea Cangiani

Download or read book Numerical Mathematics and Advanced Applications 2011 written by Andrea Cangiani and published by Springer Science & Business Media. This book was released on 2013-01-20 with total page 859 pages. Available in PDF, EPUB and Kindle. Book excerpt: The European Conferences on Numerical Mathematics and Advanced Applications (ENUMATH) are a series of conferences held every two years to provide a forum for discussion of new trends in numerical mathematics and challenging scientific and industrial applications at the highest level of international expertise. ENUMATH 2011 was hosted by the University of Leicester (UK) from the 5th to 9th September 2011. This proceedings volume contains more than 90 papers by speakers of the conference and gives an overview of recent developments in scientific computing, numerical analysis, and practical use of modern numerical techniques and algorithms in various applications. New results on finite element methods, multiscale methods, numerical linear algebra, and finite difference schemes are presented. A range of applications include computational problems from fluid dynamics, materials, image processing, and molecular dynamics.

Trends in PDE Constrained Optimization

Author : Günter Leugering
Publisher : Springer
ISBN 13 : 3319050834
Total Pages : 539 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Trends in PDE Constrained Optimization by : Günter Leugering

Download or read book Trends in PDE Constrained Optimization written by Günter Leugering and published by Springer. This book was released on 2014-12-22 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization problems subject to constraints governed by partial differential equations (PDEs) are among the most challenging problems in the context of industrial, economical and medical applications. Almost the entire range of problems in this field of research was studied and further explored as part of the Deutsche Forschungsgemeinschaft (DFG) priority program 1253 on “Optimization with Partial Differential Equations” from 2006 to 2013. The investigations were motivated by the fascinating potential applications and challenging mathematical problems that arise in the field of PDE constrained optimization. New analytic and algorithmic paradigms have been developed, implemented and validated in the context of real-world applications. In this special volume, contributions from more than fifteen German universities combine the results of this interdisciplinary program with a focus on applied mathematics. The book is divided into five sections on “Constrained Optimization, Identification and Control”, “Shape and Topology Optimization”, “Adaptivity and Model Reduction”, “Discretization: Concepts and Analysis” and “Applications”. Peer-reviewed research articles present the most recent results in the field of PDE constrained optimization and control problems. Informative survey articles give an overview of topics that set sustainable trends for future research. This makes this special volume interesting not only for mathematicians, but also for engineers and for natural and medical scientists working on processes that can be modeled by PDEs.

Proceedings of the 16th International Meshing Roundtable

Author : Michael L. Brewer
Publisher : Springer Science & Business Media
ISBN 13 : 3540751025
Total Pages : 602 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Proceedings of the 16th International Meshing Roundtable by : Michael L. Brewer

Download or read book Proceedings of the 16th International Meshing Roundtable written by Michael L. Brewer and published by Springer Science & Business Media. This book was released on 2007-10-01 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the articles presented at the 16th International Meshing Roundtable (IMR) organized, in part, by Sandia National Laboratories and held in Seattle, Washington, U.S.A. in October, 2007. The volume presents recent results of mesh generation and adaptation which has applications to finite element simulation. It introduces theoretical and novel ideas with practical potential.

Error-controlled Adaptive Finite Elements in Solid Mechanics

Author : Ekkehard Ramm
Publisher : John Wiley & Sons
ISBN 13 : 0470857978
Total Pages : 422 pages
Book Rating : 4.4/5 (78 download)

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Book Synopsis Error-controlled Adaptive Finite Elements in Solid Mechanics by : Ekkehard Ramm

Download or read book Error-controlled Adaptive Finite Elements in Solid Mechanics written by Ekkehard Ramm and published by John Wiley & Sons. This book was released on 2003-08-01 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Element Methods are used for numerous engineering applications where numerical solutions of partial differential equations are needed. As computers can now deal with the millions of parameters used in these methods, automatic error estimation and automatic adaptation of the utilised method (according to this error estimation), has become a hot research topic. This text offers comprehensive coverage of this new field of automatic adaptation and error estimation, bringing together the work of eight outstanding researchers in this field who have completed a six year national research project within the German Science Foundation. The result is a state-of-the-art work in true reference style. Each chapter is self-contained and covers theoretical, algorithmic and software presentations as well as solved problems. A main feature consists of several carefully elaborated benchmarks of 2D- and 3D- applications. * First book to go beyond the Finite Element Method in itself * Covers material from a new research area * Presents benchmarks of 2D- and 3D- applications * Fits with the new trend for genetic strategies in engineering

Using Finite Elements in Mechanical Design

Author : James Toby Mottram
Publisher : McGraw-Hill Book Company Limited
ISBN 13 : 9780077090937
Total Pages : 276 pages
Book Rating : 4.0/5 (99 download)

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Book Synopsis Using Finite Elements in Mechanical Design by : James Toby Mottram

Download or read book Using Finite Elements in Mechanical Design written by James Toby Mottram and published by McGraw-Hill Book Company Limited. This book was released on 1996 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Increasing use is being made of commercial software to demonstrate the applications of finite element theory to mechanical or structural design. This book is aimed at those who are new to using commercially available finite element software for mechanical or structural design and those who are contemplating using this software. It emphasizes the practicalities of modelling with commercial software rather than the theory of finite elements. A step-by-step approach is used to describe the analysis process and a series of teaching examples, using simple test cases and real engineering probelms, are provided to complement this.

Finite Elements for Analysis and Design

Author : J. E. Akin
Publisher : Academic Press
ISBN 13 : 9780120476541
Total Pages : 566 pages
Book Rating : 4.4/5 (765 download)

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Book Synopsis Finite Elements for Analysis and Design by : J. E. Akin

Download or read book Finite Elements for Analysis and Design written by J. E. Akin and published by Academic Press. This book was released on 1994 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.

Snapshot-Based Methods and Algorithms

Author : Peter Benner
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110671492
Total Pages : 356 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Snapshot-Based Methods and Algorithms by : Peter Benner

Download or read book Snapshot-Based Methods and Algorithms written by Peter Benner and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-12-16 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: An increasing complexity of models used to predict real-world systems leads to the need for algorithms to replace complex models with far simpler ones, while preserving the accuracy of the predictions. This two-volume handbook covers methods as well as applications. This second volume focuses on applications in engineering, biomedical engineering, computational physics and computer science.

The Mathematical Theory of Finite Element Methods

Author : Susanne Brenner
Publisher : Springer Science & Business Media
ISBN 13 : 0387759344
Total Pages : 400 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis The Mathematical Theory of Finite Element Methods by : Susanne Brenner

Download or read book The Mathematical Theory of Finite Element Methods written by Susanne Brenner and published by Springer Science & Business Media. This book was released on 2007-12-22 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the third and yet further updated edition of a highly regarded mathematical text. Brenner develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. Her volume formalizes basic tools that are commonly used by researchers in the field but not previously published. The book is ideal for mathematicians as well as engineers and physical scientists. It can be used for a course that provides an introduction to basic functional analysis, approximation theory, and numerical analysis, while building upon and applying basic techniques of real variable theory. This new edition is substantially updated with additional exercises throughout and new chapters on Additive Schwarz Preconditioners and Adaptive Meshes.

Finite Element Analysis for Design Engineers

Author : Paul M. Kurowski
Publisher : SAE International
ISBN 13 : 1468605364
Total Pages : 287 pages
Book Rating : 4.4/5 (686 download)

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Book Synopsis Finite Element Analysis for Design Engineers by : Paul M. Kurowski

Download or read book Finite Element Analysis for Design Engineers written by Paul M. Kurowski and published by SAE International. This book was released on 2022-12-19 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Element Analysis (FEA) has been widely implemented by the automotive industry as a productivity tool for design engineers to reduce both development time and cost. This essential work serves as a guide for FEA as a design tool and addresses the specific needs of design engineers to improve productivity. It provides a clear presentation that will help practitioners to avoid mistakes. Easy to use examples of FEA fundamentals are clearly presented that can be simply applied during the product development process. The FEA process is fully explored in this fundamental and practical approach that includes: Understanding FEA basics Commonly used modeling techniques Application of FEA in the design process Fundamental errors and their effect on the quality of results Hands-on simple and informative exercises This indispensable guide provides design engineers with proven methods to analyze their own work while it is still in the form of easily modifiable CAD models. Simple and informative exercises provide examples for improving the process to deliver quick turnaround times and prompt implementation. This is the latest version of Finite Element Analysis for Design Engineers.

Computer Aided Optimal Design: Structural and Mechanical Systems

Author : Carlos A. Mota Soares
Publisher : Springer Science & Business Media
ISBN 13 : 364283051X
Total Pages : 1018 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Computer Aided Optimal Design: Structural and Mechanical Systems by : Carlos A. Mota Soares

Download or read book Computer Aided Optimal Design: Structural and Mechanical Systems written by Carlos A. Mota Soares and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 1018 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the edited version of lectures and selected papers presented at the NATO ADVANCED STUDY INSTITUTE ON COMPUTER AIDED OPTIMAL DESIGN: Structural and Mechanical Systems, held in Tr6ia, Portugal, 29th June to 11th July 1986, and organized by CEMUL -Center of Mechanics and Materials of the Technical University of Lisbon. The Institute was attended by 120 participants from 21 countries, including leading scientists and engineers from universities, research institutions and industry, and Ph.D. students. Some participants presented invited and contributed papers during the Institute and almost all participated actively in discussions on scientific aspects during the Institute. The Advanced Study Institute provided a forum for interaction among eminent scientists and engineers from different schools of thought and young reseachers. The Institute addressed the foundations and current state of the art of essential techniques related to computer aided optimal design of structural and mechanical systems, namely: Vari ational and Finite Element Methods in Optimal Design, Numerical Optimization Techniques, Design Sensitivity Analysis, Shape Optimal Design, Adaptive Finite Element Methods in Shape Optimization, CAD Technology, Software Development Techniques, Integrated Computer Aided Design and Knowledge Based Systems. Special topics of growing importance were also pre sented.