Parallel-Vector Equation Solvers for Finite Element Engineering Applications

Parallel-Vector Equation Solvers for Finite Element Engineering Applications
Author: Duc Thai Nguyen
Publisher: Springer Science & Business Media
Total Pages: 356
Release: 2012-12-06
Genre: Computers
ISBN: 1461513375

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.

Finite Element Methods:

Finite Element Methods:
Author: Duc Thai Nguyen
Publisher: Springer Science & Business Media
Total Pages: 545
Release: 2006-07-18
Genre: Technology & Engineering
ISBN: 0387308512

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.

The Scaled Boundary Finite Element Method

The Scaled Boundary Finite Element Method
Author: Chongmin Song
Publisher: John Wiley & Sons
Total Pages: 775
Release: 2018-06-19
Genre: Science
ISBN: 1119388457

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.

Mechanics Computing in 1990's and Beyond: Structural and material mechanics

Mechanics Computing in 1990's and Beyond: Structural and material mechanics
Author: Hojjat Adeli
Publisher:
Total Pages: 718
Release: 1991
Genre: Science
ISBN:

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

Automated Solution of Differential Equations by the Finite Element Method

Automated Solution of Differential Equations by the Finite Element Method
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.