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Author : Andrew N. Hryamk
Publisher :
ISBN 13 :
Total Pages : 33 pages
Book Rating : 4.:/5 (149 download)
Download or read book An Implementation of a Moving Finite Element Method written by Andrew N. Hryamk and published by . This book was released on 1984 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P. K. Sweby
Publisher :
ISBN 13 :
Total Pages : 29 pages
Book Rating : 4.:/5 (897 download)
Download or read book Some Observations on the Moving Finite Element Method and Its Implementation written by P. K. Sweby and published by . This book was released on 1987 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Maria do Carmo Coimbra
Publisher : CRC Press
ISBN 13 : 1498723888
Total Pages : 276 pages
Book Rating : 4.4/5 (987 download)
Download or read book Moving Finite Element Method written by Maria do Carmo Coimbra and published by CRC Press. This book was released on 2016-11-30 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on process simulation in chemical engineering with a numerical algorithm based on the moving finite element method (MFEM). It offers new tools and approaches for modeling and simulating time-dependent problems with moving fronts and with moving boundaries described by time-dependent convection-reaction-diffusion partial differential equations in one or two-dimensional space domains. It provides a comprehensive account of the development of the moving finite element method, describing and analyzing the theoretical and practical aspects of the MFEM for models in 1D, 1D+1d, and 2D space domains. Mathematical models are universal, and the book reviews successful applications of MFEM to solve engineering problems. It covers a broad range of application algorithm to engineering problems, namely on separation and reaction processes presenting and discussing relevant numerical applications of the moving finite element method derived from real-world process simulations.
Author : J. E. Akin
Publisher :
ISBN 13 :
Total Pages : 394 pages
Book Rating : 4.3/5 (91 download)
Download or read book Application and Implementation of Finite Element Methods written by J. E. Akin and published by . This book was released on 1982 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Maria do Carmo Coimbra
Publisher : CRC Press
ISBN 13 : 1498723896
Total Pages : 195 pages
Book Rating : 4.4/5 (987 download)
Download or read book Moving Finite Element Method written by Maria do Carmo Coimbra and published by CRC Press. This book was released on 2016-11-30 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on process simulation in chemical engineering with a numerical algorithm based on the moving finite element method (MFEM). It offers new tools and approaches for modeling and simulating time-dependent problems with moving fronts and with moving boundaries described by time-dependent convection-reaction-diffusion partial differential equations in one or two-dimensional space domains. It provides a comprehensive account of the development of the moving finite element method, describing and analyzing the theoretical and practical aspects of the MFEM for models in 1D, 1D+1d, and 2D space domains. Mathematical models are universal, and the book reviews successful applications of MFEM to solve engineering problems. It covers a broad range of application algorithm to engineering problems, namely on separation and reaction processes presenting and discussing relevant numerical applications of the moving finite element method derived from real-world process simulations.
Author : Patrick Ciarlet
Publisher : John Wiley & Sons
ISBN 13 : 1786307685
Total Pages : 404 pages
Book Rating : 4.7/5 (863 download)
Download or read book The Finite Element Method written by Patrick Ciarlet and published by John Wiley & Sons. This book was released on 2023-08-29 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite element method, which emerged in the 1950s to deal with structural mechanics problems, has since undergone continuous development. Using partial differential equation models, it is now present in such fields of application as mechanics, physics, chemistry, economics, finance and biology. It is also used in most scientific computing software, and many engineers become adept at using it in their modeling and numerical simulation activities. This book presents all the essential elements of the finite element method in a progressive and didactic way: the theoretical foundations, practical considerations of implementation, algorithms, as well as numerical illustrations created in MATLAB. Original exercises with detailed answers are provided at the end of each chapter.
Author : Edmund Wittbrodt
Publisher : Springer Science & Business Media
ISBN 13 : 354032352X
Total Pages : 229 pages
Book Rating : 4.5/5 (43 download)
Download or read book Dynamics of Flexible Multibody Systems written by Edmund Wittbrodt and published by Springer Science & Business Media. This book was released on 2007-04-17 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new approach is presented in this book for modelling multi-body systems, which constitutes a substantial enhancement of the Rigid Finite Element method. The new approach is based on homogeneous transformations and joint coordinates. Apart from its simple physical interpretation and easy computer implementation, the method is also valuable for educational purposes since it impressively illustrates the impact of mechanical features on the mathematical model.
Author : Pin Tong
Publisher :
ISBN 13 :
Total Pages : 332 pages
Book Rating : 4.:/5 (959 download)
Download or read book Finite-element Method written by Pin Tong and published by . This book was released on 2000 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Abdoulkadri Chama
Publisher :
ISBN 13 :
Total Pages : 122 pages
Book Rating : 4.:/5 (858 download)
Download or read book Study and Implementation of Two-dimensional Moving Finite Elements Method written by Abdoulkadri Chama and published by . This book was released on 2009 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : O. C. Zienkiewicz
Publisher : Butterworth-Heinemann
ISBN 13 : 9780750650557
Total Pages : 482 pages
Book Rating : 4.6/5 (55 download)
Download or read book The Finite Element Method: Solid mechanics written by O. C. Zienkiewicz and published by Butterworth-Heinemann. This book was released on 2000 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mats G. Larson
Publisher : Springer
ISBN 13 : 9783642447112
Total Pages : 0 pages
Book Rating : 4.4/5 (471 download)
Download or read book The Finite Element Method: Theory, Implementation, and Applications written by Mats G. Larson and published by Springer. This book was released on 2012-12-17 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functional analysis and partial differential equations. In principle, the material should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessary concepts from more advanced analysis are introduced when needed. Throughout the text we emphasize implementation of the involved algorithms, and have therefore mixed mathematical theory with concrete computer code using the numerical software MATLAB is and its PDE-Toolbox. We have also had the ambition to cover some of the most important applications of finite elements and the basic finite element methods developed for those applications, including diffusion and transport phenomena, solid and fluid mechanics, and also electromagnetics.
Author : Anders Logg
Publisher : Springer Science & Business Media
ISBN 13 : 3642230997
Total Pages : 723 pages
Book Rating : 4.6/5 (422 download)
Download or read book Automated Solution of Differential Equations by the Finite Element Method written by Anders Logg and published by Springer Science & Business Media. This book was released on 2012-02-24 with total page 723 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a special introductory tutorial for beginners. Following are chapters in Part I addressing fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.
Author : G.R. Liu
Publisher : CRC Press
ISBN 13 : 1420040588
Total Pages : 715 pages
Book Rating : 4.4/5 (2 download)
Download or read book Mesh Free Methods written by G.R. Liu and published by CRC Press. This book was released on 2002-07-29 with total page 715 pages. Available in PDF, EPUB and Kindle. Book excerpt: As we attempt to solve engineering problems of ever increasing complexity, so must we develop and learn new methods for doing so. The Finite Difference Method used for centuries eventually gave way to Finite Element Methods (FEM), which better met the demands for flexibility, effectiveness, and accuracy in problems involving complex geometry. Now,
Author : Anna Watkins
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (111 download)
Download or read book A Moving Mesh Finite Element Method and Its Application to Population Dynamics written by Anna Watkins and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sinan Muftu
Publisher : Academic Press
ISBN 13 : 0128232005
Total Pages : 542 pages
Book Rating : 4.1/5 (282 download)
Download or read book Finite Element Method written by Sinan Muftu and published by Academic Press. This book was released on 2022-07-14 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Element Method: Physics and Solution Methods aims to provide the reader a sound understanding of the physical systems and solution methods to enable effective use of the finite element method. This book focuses on one- and two-dimensional elasticity and heat transfer problems with detailed derivations of the governing equations. The connections between the classical variational techniques and the finite element method are carefully explained. Following the chapter addressing the classical variational methods, the finite element method is developed as a natural outcome of these methods where the governing partial differential equation is defined over a subsegment (element) of the solution domain. As well as being a guide to thorough and effective use of the finite element method, this book also functions as a reference on theory of elasticity, heat transfer, and mechanics of beams. Covers the detailed physics governing the physical systems and the computational methods that provide engineering solutions in one place, encouraging the reader to conduct fully informed finite element analysis Addresses the methodology for modeling heat transfer, elasticity, and structural mechanics problems Extensive worked examples are provided to help the reader to understand how to apply these methods in practice
Author : P. SESHU
Publisher : PHI Learning Pvt. Ltd.
ISBN 13 : 8120323157
Total Pages : 340 pages
Book Rating : 4.1/5 (23 download)
Download or read book TEXTBOOK OF FINITE ELEMENT ANALYSIS written by P. SESHU and published by PHI Learning Pvt. Ltd.. This book was released on 2003-01-01 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for a one-semester course in Finite Element Method, this compact and well-organized text presents FEM as a tool to find approximate solutions to differential equations. This provides the student a better perspective on the technique and its wide range of applications. This approach reflects the current trend as the present-day applications range from structures to biomechanics to electromagnetics, unlike in conventional texts that view FEM primarily as an extension of matrix methods of structural analysis. After an introduction and a review of mathematical preliminaries, the book gives a detailed discussion on FEM as a technique for solving differential equations and variational formulation of FEM. This is followed by a lucid presentation of one-dimensional and two-dimensional finite elements and finite element formulation for dynamics. The book concludes with some case studies that focus on industrial problems and Appendices that include mini-project topics based on near-real-life problems. Postgraduate/Senior undergraduate students of civil, mechanical and aeronautical engineering will find this text extremely useful; it will also appeal to the practising engineers and the teaching community.
Author : St¿phane Bordas
Publisher : John Wiley & Sons
ISBN 13 : 0470667087
Total Pages : 373 pages
Book Rating : 4.4/5 (76 download)
Download or read book Partition of Unity Methods written by St¿phane Bordas and published by John Wiley & Sons. This book was released on 2023-10-16 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: PARTITION OF UNITY METHODS Master the latest tool in computational mechanics with this brand-new resource from distinguished leaders in the field While it is the number one tool for computer aided design and engineering, the finite element method (FEM) has difficulties with discontinuities, singularities, and moving boundaries. Partition of unity methods addresses these challenges and is now increasingly implemented in commercially available software. Partition of Unity Methods delivers a detailed overview of its fundamentals, in particular the extended finite element method for applications in solving moving boundary problems. The distinguished academics and authors introduce the XFEM as a natural extension of the traditional finite element method (FEM), through straightforward one-dimensional examples which form the basis for the subsequent introduction of higher dimensional problems. This book allows readers to fully understand and utilize XFEM just as it becomes ever more crucial to industry practice. Partition of Unity Methods explores all essential topics on this key new technology, including: Coverage of the difficulties faced by the finite element method and the impetus behind the development of XFEM The basics of the finite element method, with discussions of finite element formulation of linear elasticity and the calculation of the force vector An introduction to the fundamentals of enrichment A revisitation of the partition of unity enrichment A description of the geometry of enrichment features, with discussions of level sets for stationary interfaces Application of XFEM to bio-film, gradient theories, and three dimensional crack propagation Perfect for researchers and postdoctoral candidates working in the field of computational mechanics, Partition of Unity Methods also has a place in the libraries of senior undergraduate and graduate students working in the field. Finite element and CFD analysts and developers in private industry will also greatly benefit from this book.
