Finite Element Grid Optimization

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Finite Element Grid Optimization
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Author : Mark S. Shephard
language : en
Publisher:
Release Date : 1979
Finite Element Grid Optimization written by Mark S. Shephard and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.
Finite Element Mesh Generation
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Author : Daniel S.H. Lo
language : en
Publisher: CRC Press
Release Date : 2015-01-15
Finite Element Mesh Generation written by Daniel S.H. Lo and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-15 with Technology & Engineering categories.
Highlights the Progression of Meshing Technologies and Their Applications Finite Element Mesh Generation provides a concise and comprehensive guide to the application of finite element mesh generation over 2D domains, curved surfaces, and 3D space. Organised according to the geometry and dimension of the problem domains, it develops from the basic meshing algorithms to the most advanced schemes to deal with problems with specific requirements such as boundary conformity, adaptive and anisotropic elements, shape qualities, and mesh optimization. It sets out the fundamentals of popular techniques, including: Delaunay triangulation Advancing-front (ADF) approach Quadtree/Octree techniques Refinement and optimization-based strategies From the geometrical and the topological aspects and their associated operations and inter-relationships, each approach is vividly described and illustrated with examples. Beyond the algorithms, the book also explores the practice of using metric tensor and surface curvatures for generating anisotropic meshes on parametric space. It presents results from research including 3D anisotropic meshing, mesh generation over unbounded domains, meshing by means of intersection, re-meshing by Delaunay-ADF approach, mesh refinement and optimization, generation of hexahedral meshes, and large scale and parallel meshing, along with innovative unpublished meshing methods. The author provides illustrations of major meshing algorithms, pseudo codes, and programming codes in C++ or FORTRAN. Geared toward research centers, universities, and engineering companies, Finite Element Mesh Generation describes mesh generation methods and fundamental techniques, and also serves as a valuable reference for laymen and experts alike.
Finite Elements Based Optimization
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Author : S. Ratnajeevan H. Hoole
language : en
Publisher: CRC Press
Release Date : 2019-07-24
Finite Elements Based Optimization written by S. Ratnajeevan H. Hoole and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-24 with Mathematics categories.
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
Finite Element Grid Optimization
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Author : The American Society of Mechanical Engineers
language : en
Publisher:
Release Date : 1979
Finite Element Grid Optimization written by The American Society of Mechanical Engineers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.
Finite Elements Analysis
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Author : H. Lakshmininarayana
language : en
Publisher: Universities Press
Release Date : 2004-10
Finite Elements Analysis written by H. Lakshmininarayana and has been published by Universities Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10 with Engineering mathematics categories.
This textbook has emerged from three decades of experience gained by the author in education, research and practice. The basic concepts, mathematical models and computational algorithms supporting the Finite Element Method (FEM) are clearly and concisely developed.
Optimizing The Shape Of Mechanical Elements And Structures
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Author : Shirley Seireg
language : en
Publisher: CRC Press
Release Date : 1997-01-02
Optimizing The Shape Of Mechanical Elements And Structures written by Shirley Seireg and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-02 with Technology & Engineering categories.
This work introduces a wide variety of practical approaches to the synthesis and optimization of shapes for mechanical elements and structures. The simplest methods for achieving the best results without mathematical complexity - especially computer solutions - are emphasized. The authors present detailed case studies of structures subjected to different types of static and dynamic loading, including load-bearing structures with arbitrary support conditions, rotating disks, layered structures, pressure vessels, elastic bodies and structural elements subjected to impulsive loading.
Finite Element Grid Optimization
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Author : Jesse Blair Schrum
language : en
Publisher:
Release Date : 1983
Finite Element Grid Optimization written by Jesse Blair Schrum and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Mechanical engineering categories.
Since widespread use of the finite element method began in the early 1960's, much effort has been devoted to the development of the method itself, while only recently has there been any research directed at minimizing the discretization error by a proper selection of the element grid. This paper examines some recently proposed grid optimization techniques and applies them to some one- and two-dimensional linear self-adjoint boundary value problems. Guidelines requiring minimal software modification are recommended to assist the analyst in obtaining improved finite element solutions. (Author).
Finite Element Handbook
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Author : Hayrettin Kardestuncer
language : en
Publisher: McGraw-Hill Companies
Release Date : 1987
Finite Element Handbook written by Hayrettin Kardestuncer and has been published by McGraw-Hill Companies this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
Computational Grids
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Author : Graham F. Carey
language : en
Publisher: CRC Press
Release Date : 1997-05-01
Computational Grids written by Graham F. Carey and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-05-01 with Mathematics categories.
In this comprehensive volume a treatment of grid generation, adaptive refinement, and redistribution techniques is developed together with supporting mathematical, algorithmic, and software concepts. Efficient solution strategies that exploit grid hierarchies are also described and analyzed. Emphasis is on the fundamental ideas, but the presentation includes practical guidelines for designing and implementing grid strategies.
The Optimum Shape
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Author : James Bennett
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Optimum Shape written by James Bennett and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
This book contains the papers presented at the International Symposium, "The Optimum Shape: Automated Structural Design," held at the General Motors Research Laboratories on September 3D-October 1, 1985. This was the 30th symposium in a series which the Research Laboratories began sponsoring in 1957. Each symposium has focused on a topic that is both under active study at the Research Laboratories and is also of interest to the larger technical community. While attempts to produce a structure which performs a certain task with the minimum amount of resources probably predates recorded civilization, the idea of coupling formal optimization techniques with computer-based structural analysis techniques was first proposed in the early 1960s. Although it was recognized at this time that the most fundamental description of the problem would be in terms of the shape or contours of the structure, much of the early work described the problem in terms of structural sizing parameters instead of geometrical descriptions. Within the past few years, several research groups have started to explore this more fundamental area of shape design. Initial research has raised many new questions about appropriate selection of design variables, methods of calculating derivatives, and generation of the underlying analysis problem.