The Scaled Boundary Finite Element Method
The Scaled Boundary Finite Element Method

Author: Chongmin Song

Publisher: John Wiley & Sons

Published: 2018-06-19

Total Pages: 775

ISBN-13: 1119388457

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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.

Finite Elements Analysis: Procedures in Engineering
Finite Elements Analysis: Procedures in Engineering

Author: H. Lakshmininarayana

Publisher: Universities Press

Published: 2004-10

Total Pages: 268

ISBN-13: 9788173714764

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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.

What Every Engineer Should Know about Finite Element Analysis, Second Edition,
What Every Engineer Should Know about Finite Element Analysis, Second Edition,

Author: John Brauer

Publisher: CRC Press

Published: 1993-05-05

Total Pages: 350

ISBN-13: 9780824789541

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Summarizing the history and basic concepts of finite elements in a manner easily understood by all engineers, this concise reference describes specific finite element software applications to structural, thermal, electromagnetic and fluid analysis - detailing the latest developments in design optimization, finite element model building and results processing and future trends.;Requiring no previous knowledge of finite elements analysis, the Second Edition provides new material on: p elements; iterative solvers; design optimization; dynamic open boundary finite elements; electric circuits coupled to finite elements; anisotropic and complex materials; electromagnetic eigenvalues; and automated pre- and post-processing software.;Containing more than 120 tables and computer-drawn illustrations - and including two full-colour plates - What Every Engineer Should Know About Finite Element Analysis should be of use to engineers, engineering students and other professionals involved with product design or analysis.

Programming Massively Parallel Processors
Programming Massively Parallel Processors

Author: David B. Kirk

Publisher: Newnes

Published: 2012-12-31

Total Pages: 519

ISBN-13: 0123914183

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Programming Massively Parallel Processors: A Hands-on Approach, Second Edition, teaches students how to program massively parallel processors. It offers a detailed discussion of various techniques for constructing parallel programs. Case studies are used to demonstrate the development process, which begins with computational thinking and ends with effective and efficient parallel programs. This guide shows both student and professional alike the basic concepts of parallel programming and GPU architecture. Topics of performance, floating-point format, parallel patterns, and dynamic parallelism are covered in depth. This revised edition contains more parallel programming examples, commonly-used libraries such as Thrust, and explanations of the latest tools. It also provides new coverage of CUDA 5.0, improved performance, enhanced development tools, increased hardware support, and more; increased coverage of related technology, OpenCL and new material on algorithm patterns, GPU clusters, host programming, and data parallelism; and two new case studies (on MRI reconstruction and molecular visualization) that explore the latest applications of CUDA and GPUs for scientific research and high-performance computing. This book should be a valuable resource for advanced students, software engineers, programmers, and hardware engineers. - New coverage of CUDA 5.0, improved performance, enhanced development tools, increased hardware support, and more - Increased coverage of related technology, OpenCL and new material on algorithm patterns, GPU clusters, host programming, and data parallelism - Two new case studies (on MRI reconstruction and molecular visualization) explore the latest applications of CUDA and GPUs for scientific research and high-performance computing

Large Scale Computational Physics On Massively Parallel Computers
Large Scale Computational Physics On Massively Parallel Computers

Author: Hans J Herrmann

Publisher: World Scientific

Published: 1993-12-27

Total Pages: 296

ISBN-13: 9814552038

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Contents:A Lattice Solid Model for the Nonlinear Dynamics of Earthquakes (P Mora & D Place)Vectorized and Parallelized Algorithms for Multi-Million Particle MD-Simulations (W Form et al)Green-Function Method for Electronic Structure of Periodic Crystals (R Zeller)Parallelization of the Ising Simulation (N Ito)A Nonlocal Approach to Vertex Models and Quantum Spin Systems (H G Evertz & M Marcu)The Static Quark-Antiquark-Potential: A ‘Classical’ Experiment on the Connection Machine CM-2 (K Schilling & G S Bali)Determination of Monopole Current Clusters in Four-Dimensional Quantum Electrodynamics (A Bode et al)QCD Calculations on the QCDPAX (K Kanaya)UKQCD — Recent Results and Future Prospects (R Kenway)Programming Tools for Parallel Computers (K J M Moriarity & T Trappenberg)Workstation Clusters: One Way to Parallel Computing (M Weber)APE100 and Beyond (R Tripiccione)and other papers Readership: Computational physicists. keywords:

Domain Decomposition Methods - Algorithms and Theory
Domain Decomposition Methods - Algorithms and Theory

Author: Andrea Toselli

Publisher: Springer Science & Business Media

Published: 2006-06-20

Total Pages: 454

ISBN-13: 3540266623

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This book offers a comprehensive presentation of some of the most successful and popular domain decomposition preconditioners for finite and spectral element approximations of partial differential equations. It places strong emphasis on both algorithmic and mathematical aspects. It covers in detail important methods such as FETI and balancing Neumann-Neumann methods and algorithms for spectral element methods.

Advanced Finite Element Methods with Applications
Advanced Finite Element Methods with Applications

Author: Thomas Apel

Publisher: Springer

Published: 2019-06-28

Total Pages: 436

ISBN-13: 3030142442

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Finite element methods are the most popular methods for solving partial differential equations numerically, and despite having a history of more than 50 years, there is still active research on their analysis, application and extension. This book features overview papers and original research articles from participants of the 30th Chemnitz Finite Element Symposium, which itself has a 40-year history. Covering topics including numerical methods for equations with fractional partial derivatives; isogeometric analysis and other novel discretization methods, like space-time finite elements and boundary elements; analysis of a posteriori error estimates and adaptive methods; enhancement of efficient solvers of the resulting systems of equations, discretization methods for partial differential equations on surfaces; and methods adapted to applications in solid and fluid mechanics, it offers readers insights into the latest results.