Finite Elements Based Optimization
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Author | : S. Ratnajeevan H. Hoole |
Publisher | : CRC Press |
Total Pages | : 306 |
Release | : 2019-07-24 |
Genre | : Mathematics |
ISBN | : 1498759475 |
This book is intended to be a cookbook for students and researchers to understand the finite element method and optimization methods and couple them to effect shape optimization. The optimization part of the book will survey optimization methods and focus on the genetic algorithm and Powell’s method for implementation in the codes. It will contain pseudo-code for the relevant algorithms and homework problems to reinforce the theory to compile finite element programs capable of shape optimization. Features Enables readers to understand the finite element method and optimization methods and couple them to effect shape optimization Presents simple approach with algorithms for synthesis Focuses on automated computer aided design (CAD) of electromagnetic devices Provides a unitary framework involving optimization and numerical modelling Discusses how to integrate open-source mesh generators into your code Indicates how parallelization of algorithms, especially matrix solution and optimization, may be approached cheaply using the graphics processing unit (GPU) that is available on most PCs today Includes coupled problem optimization using hyperthermia as an example
Author | : G. A. Mohr |
Publisher | : Oxford University Press, USA |
Total Pages | : 632 |
Release | : 1992 |
Genre | : Law |
ISBN | : |
The finite element method is a numerical procedure for solving the ordinary and partial differential equations that commonly arise in engineering and mathematical physics. This text offers a complete, self-contained introduction to the theory and application of finite element methods in solid mechanics, fluid mechanics, and optimization. The authors' extensive practical experience in the field allows for a text well balanced between theory and application. Techniques for formatting finite element apparatus to problems are carefully explained. Programming techniques for solving resulting FEM problems also receive comprehensive treatment. Worked examples are scattered throughout the text.
Author | : S. RATNAJEEVAN H.. HOOLE HOOLE (YOVAHN YESURAIYAN R.) |
Publisher | : |
Total Pages | : |
Release | : 2019 |
Genre | : |
ISBN | : 9781138746060 |
Author | : Kenneth H. Huebner |
Publisher | : John Wiley & Sons |
Total Pages | : 748 |
Release | : 2001-09-07 |
Genre | : Technology & Engineering |
ISBN | : 9780471370789 |
Eine Einführung in alle Aspekte der finiten Elemente, jetzt schon in der 4. Auflage! Geboten wird eine ausgewogene Mischung theoretischer und anwendungsorientierter Kapitel mit vielen Beispielen. Schwerpunkte liegen auf Anwendungen aus der Mechanik, dem Wärmetransport, der Elastizität sowie auf disziplinübergreifenden Problemen (Strömungen von Fluiden, Elektromagnetismus). Eine nützliche und zuverlässige Informationsquelle für Studenten und Praktiker!
Author | : Edmund Wittbrodt |
Publisher | : Springer Science & Business Media |
Total Pages | : 229 |
Release | : 2007-04-17 |
Genre | : Technology & Engineering |
ISBN | : 354032352X |
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 | : O. C. Zienkiewicz |
Publisher | : Butterworth-Heinemann |
Total Pages | : 482 |
Release | : 2000 |
Genre | : Continuum mechanics |
ISBN | : 9780750650557 |
Author | : Kajal K. Gupta |
Publisher | : AIAA |
Total Pages | : 458 |
Release | : 2003 |
Genre | : Finite element method |
ISBN | : 9781600860539 |
Annotation This book fills a gap within the finite element literature by addressing the challenges and developments in multidiscipli-nary analysis. Current developments include disciplines of structural mechanics, heat transfer, fluid mechanics, controls engineering and propulsion technology, and their interaction as encountered in many practical problems in aeronautical, aerospace, and mechanical engineering, among others. These topics are reflected in the 15 chapter titles of the book. Numerical problems are provided to illustrate the applicability of the techniques. Exercises may be solved either manually or by using suitable computer software. A version of the multidisciplinary analysis program STARS is available from the author. As a textbook, the book is useful at the senior undergraduate or graduate level. The practicing engineer will find it invaluable for solving full-scale practical problems.
Author | : Tirupathi Chandrupatla |
Publisher | : Cambridge University Press |
Total Pages | : 520 |
Release | : 2021-10-21 |
Genre | : Science |
ISBN | : 1108899404 |
Thoroughly updated with improved pedagogy, the fifth edition of this classic textbook continues to provide students with a clear and comprehensive introduction the fundamentals of the finite element method. New features include enhanced coverage of introductory topics in the context of simple 1D problems, providing students with a solid base from which to advance to 2D and 3D problems; expanded coverage of more advanced concepts, to reinforce students' understanding; over 30 additional solved problems; and downloadable MATLAB, Python, C, Javascript, Fortran and Excel VBA code packages, providing students with hands-on experience, and preparing them for commercial software. Accompanied by online solutions for instructors, this is the definitive text for senior undergraduate and graduate students studying a first course in the finite element method and finite element analysis, and for professional engineers keen to shore up their understanding of finite element fundamentals.
Author | : Anders Logg |
Publisher | : Springer Science & Business Media |
Total Pages | : 723 |
Release | : 2012-02-24 |
Genre | : Computers |
ISBN | : 3642230997 |
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 | : J. Haslinger |
Publisher | : |
Total Pages | : 360 |
Release | : 1988 |
Genre | : Mathematics |
ISBN | : |
A text devoted to the mathematical basis of optimal shape design, to finite element approximation and to numerical realization by applying optimization techniques. The aim is to computerize the design process, thus reducing the time needed to design or to improve an existing design.