Parallel-Vector Equation Solvers for Finite Element Engineering Applications PDF Download
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Author: Duc Thai Nguyen
Publisher: Springer Science & Business Media
ISBN: 1461513375
Category : Computers
Languages : en
Pages : 356
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Book Description
Despite the ample number of articles on parallel-vector computational algorithms published over the last 20 years, there is a lack of texts in the field customized for senior undergraduate and graduate engineering research. Parallel-Vector Equation Solvers for Finite Element Engineering Applications aims to fill this gap, detailing both the theoretical development and important implementations of equation-solution algorithms. The mathematical background necessary to understand their inception balances well with descriptions of their practical uses. Illustrated with a number of state-of-the-art FORTRAN codes developed as examples for the book, Dr. Nguyen's text is a perfect choice for instructors and researchers alike.
Author: Duc Thai Nguyen
Publisher: Springer Science & Business Media
ISBN: 1461513375
Category : Computers
Languages : en
Pages : 356
Get Book Here
Book Description
Despite the ample number of articles on parallel-vector computational algorithms published over the last 20 years, there is a lack of texts in the field customized for senior undergraduate and graduate engineering research. Parallel-Vector Equation Solvers for Finite Element Engineering Applications aims to fill this gap, detailing both the theoretical development and important implementations of equation-solution algorithms. The mathematical background necessary to understand their inception balances well with descriptions of their practical uses. Illustrated with a number of state-of-the-art FORTRAN codes developed as examples for the book, Dr. Nguyen's text is a perfect choice for instructors and researchers alike.
Author: Duc Thai Nguyen
Publisher: Springer Science & Business Media
ISBN: 0387308512
Category : Technology & Engineering
Languages : en
Pages : 545
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Book Description
Finite element methods (FEM), and its associated computer software have been widely accepted as one of the most effective general tools for solving large-scale, practical engineering and science applications. For implicit finite element codes, it is a well-known fact that efficient equation and eigen-solvers play critical roles in solving large-scale, practical engineering/science problems. Sparse matrix technologies have been evolved and become mature enough that all popular, commercialized FEM codes have already inserted sparse solvers into their software. However, a few FEM books have detailed discussions about Lanczos eigen-solvers, or explain domain decomposition (DD) finite element formulation (including detailed hand-calculator numerical examples) for parallel computing purposes. The materials from this book have been evolved over the past several years through the author's research work, and graduate courses.
Author: Thomas Apel
Publisher: Springer Science & Business Media
ISBN: 3642303161
Category : Technology & Engineering
Languages : en
Pages : 380
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Book Description
This volume on some recent aspects of finite element methods and their applications is dedicated to Ulrich Langer and Arnd Meyer on the occasion of their 60th birthdays in 2012. Their work combines the numerical analysis of finite element algorithms, their efficient implementation on state of the art hardware architectures, and the collaboration with engineers and practitioners. In this spirit, this volume contains contributions of former students and collaborators indicating the broad range of their interests in the theory and application of finite element methods. Topics cover the analysis of domain decomposition and multilevel methods, including hp finite elements, hybrid discontinuous Galerkin methods, and the coupling of finite and boundary element methods; the efficient solution of eigenvalue problems related to partial differential equations with applications in electrical engineering and optics; and the solution of direct and inverse field problems in solid mechanics.
Author: Howard C. Elman
Publisher: Oxford University Press
ISBN: 0199678790
Category : Mathematics
Languages : en
Pages : 495
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Book Description
A practical graduate text on Scientific Computing with a focus on numerical solution of partial differential equations and numerical linear algebra. This book, and its associated freely downloadable MATLAB software, is relevant to engineers, applied mathematicians, numerical analysts, and people working in interdisciplinary Scientific Computing.
Author: Omer Riaz
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
In this thesis a Finite Element solver package called FEDomain is developed for C++ finite element software developers. It is focused on solving the Finite Element problem on shared memory as well as distributed memory architectures. The FEDomain package segregates the finite element software into two phases. The first phase includes defining the finite element problem. The user selects the mathematical problem, domain shape, domain dimensions, triangulation of the domain and formulations to compute elements' data. The second phase comprises assembly of system of equations and computing its solution. The FEDomain package concentrates on the second phase. It facilitates the user by providing the efficient implementation of the second stage using parallel algorithms. This design allows the C++ finite element application developers, with no knowledge and experience of parallel computing, to implement parallel finite element application for shared and distributed memory architectures. More specifically, FEDomain package is focused on introducing a new type of user interface. The interface requires the user to provide the mathematical problem and domain related data in terms of C++ element objects. The FEDomain assembles the system of equations, computes its solution, and provides it back to the user through element objects. The FEDomain package computes the residual vector and solution for the system of equations on shared memory and distributed memory architectures.
Author: Anders Logg
Publisher: Springer Science & Business Media
ISBN: 3642230997
Category : Computers
Languages : en
Pages : 723
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Book Description
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:
Publisher:
ISBN:
Category : Parallel processing (Electronic computers)
Languages : en
Pages : 208
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Book Description
Author: I. M. Smith
Publisher: John Wiley & Sons
ISBN: 0470011246
Category : Technology & Engineering
Languages : en
Pages : 649
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Book Description
This title demonstrates how to develop computer programmes which solve specific engineering problems using the finite element method. It enables students, scientists and engineers to assemble their own computer programmes to produce numerical results to solve these problems. The first three editions of Programming the Finite Element Method established themselves as an authority in this area. This fully revised 4th edition includes completely rewritten programmes with a unique description and list of parallel versions of programmes in Fortran 90. The Fortran programmes and subroutines described in the text will be made available on the Internet via anonymous ftp, further adding to the value of this title.
Author: Chongmin Song
Publisher: John Wiley & Sons
ISBN: 1119388457
Category : Science
Languages : en
Pages : 775
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Book Description
An informative look at the theory, computer implementation, and application of the scaled boundary finite element method This reliable resource, complete with MATLAB, is an easy-to-understand introduction to the fundamental principles of the scaled boundary finite element method. It establishes the theory of the scaled boundary finite element method systematically as a general numerical procedure, providing the reader with a sound knowledge to expand the applications of this method to a broader scope. The book also presents the applications of the scaled boundary finite element to illustrate its salient features and potentials. The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation covers the static and dynamic stress analysis of solids in two and three dimensions. The relevant concepts, theory and modelling issues of the scaled boundary finite element method are discussed and the unique features of the method are highlighted. The applications in computational fracture mechanics are detailed with numerical examples. A unified mesh generation procedure based on quadtree/octree algorithm is described. It also presents examples of fully automatic stress analysis of geometric models in NURBS, STL and digital images. Written in lucid and easy to understand language by the co-inventor of the scaled boundary element method Provides MATLAB as an integral part of the book with the code cross-referenced in the text and the use of the code illustrated by examples Presents new developments in the scaled boundary finite element method with illustrative examples so that readers can appreciate the significant features and potentials of this novel method—especially in emerging technologies such as 3D printing, virtual reality, and digital image-based analysis The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation is an ideal book for researchers, software developers, numerical analysts, and postgraduate students in many fields of engineering and science.
Author: Hojjat Adeli
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 718
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Book Description
These proceedings consist of extended abstracts of the papers presented at the ASCE Engineering Mechanics Conference held in Columbus, Ohio, May 1991. The first volume is divided into three parts: computational mechanics, fluid mechanics, and biomechanics--discussing such specialized subjects as neural network computing; symbolic processing; damage mechanics; ocean wave dynamics; fluid-structure interaction; joint kinematics; and contact problems in biomechanics. Volume two is concerned with structural and material mechanics including such topics as: vibration analysis of structures; chaotic vibrations; fracture and failure analysis; seismic analysis; microstructure analysis; and micromechanics. Acidic paper. Annotation copyrighted by Book News, Inc., Portland, OR
