Boundary Collocation Techniques and their Application in Engineering

Boundary Collocation Techniques and their Application in Engineering PDF Author: J.A. Kołodziej
Publisher: WIT Press
ISBN: 1845643941
Category : Mathematics
Languages : en
Pages : 337

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Book Description
Methods of mathematical modelling applied in contemporary computational mechanics can be divided into purely numerical and analytical-numerical procedures. In this book, the first part is a general presentation of the boundary collocation approach and its numerous variants and in the second part the method is applied to many engineering problems.

Boundary Collocation Techniques and their Application in Engineering

Boundary Collocation Techniques and their Application in Engineering PDF Author: J.A. Kołodziej
Publisher: WIT Press
ISBN: 1845643941
Category : Mathematics
Languages : en
Pages : 337

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Book Description
Methods of mathematical modelling applied in contemporary computational mechanics can be divided into purely numerical and analytical-numerical procedures. In this book, the first part is a general presentation of the boundary collocation approach and its numerous variants and in the second part the method is applied to many engineering problems.

Mesh Reduction Methods

Mesh Reduction Methods PDF Author: C. A. Brebbia
Publisher: WIT Press
ISBN: 1845641973
Category : Mathematics
Languages : en
Pages : 432

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Book Description
Proceedings of the 31st World Conference on Boundary Elements and Other Mesh Reduction Methods, held Sept. 2-4, 2009, Wessex Institute of Technology.

Numerical Methods for Diffusion Phenomena in Building Physics

Numerical Methods for Diffusion Phenomena in Building Physics PDF Author: Nathan Mendes
Publisher: Springer Nature
ISBN: 3030315746
Category : Science
Languages : en
Pages : 253

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Book Description
This book is the second edition of Numerical methods for diffusion phenomena in building physics: a practical introduction originally published by PUCPRESS (2016). It intends to stimulate research in simulation of diffusion problems in building physics, by providing an overview of mathematical models and numerical techniques such as the finite difference and finite-element methods traditionally used in building simulation tools. Nonconventional methods such as reduced order models, boundary integral approaches and spectral methods are presented, which might be considered in the next generation of building-energy-simulation tools. In this reviewed edition, an innovative way to simulate energy and hydrothermal performance are presented, bringing some light on innovative approaches in the field.

Trefftz and Collocation Methods

Trefftz and Collocation Methods PDF Author: Z-C. Li
Publisher: WIT Press
ISBN: 1845641531
Category : Technology & Engineering
Languages : en
Pages : 433

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Book Description
This title was reviewed in the January 2009 issue of Mathematical Reviews.

Finite Element Method with Applications in Engineering:

Finite Element Method with Applications in Engineering: PDF Author: Y. M. Desai
Publisher: Pearson Education India
ISBN: 9332500835
Category :
Languages : en
Pages : 489

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Book Description
The book explains the finite element method with various engineering applications to help students, teachers, engineers and researchers. It explains mathematical modeling of engineering problems and approximate methods of analysis and different approaches

Failure Assessment of Thin-walled Structures with Particular Reference to Pipelines

Failure Assessment of Thin-walled Structures with Particular Reference to Pipelines PDF Author: Lie Zhang
Publisher: WIT Press
ISBN: 1845644204
Category : Technology & Engineering
Languages : en
Pages : 161

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Book Description
This book describes integrity management procedures for thin-walled structures such as gas pipelines. It covers various methods for the analysis of crack growth in thin-walled structures and the probability of failure evaluation of pipelines using the Monte-Carlo simulation.The focus of this book is on the practical applications of the boundary element method, finite element method and probabilistic fracture mechanics. Popular methods for SIF calculation, crack growth are presented and the evaluation of failure probabilities based on BS7910 is also explained in detail. The procedures described in the book can be used to optimise the maintenance of pipelines thereby reducing the operating costs. This book will be of interest to pipeline engineers, postgraduate students and university researchers.

Insights and Innovations in Structural Engineering, Mechanics and Computation

Insights and Innovations in Structural Engineering, Mechanics and Computation PDF Author: Alphose Zingoni
Publisher: CRC Press
ISBN: 1317280628
Category : Technology & Engineering
Languages : en
Pages : 3395

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Book Description
Insights and Innovations in Structural Engineering, Mechanics and Computation comprises 360 papers that were presented at the Sixth International Conference on Structural Engineering, Mechanics and Computation (SEMC 2016, Cape Town, South Africa, 5-7 September 2016). The papers reflect the broad scope of the SEMC conferences, and cover a wide range of engineering structures (buildings, bridges, towers, roofs, foundations, offshore structures, tunnels, dams, vessels, vehicles and machinery) and engineering materials (steel, aluminium, concrete, masonry, timber, glass, polymers, composites, laminates, smart materials). Some contributions present the latest insights and new understanding on (i) the mechanics of structures and systems (dynamics, vibration, seismic response, instability, buckling, soil-structure interaction), and (ii) the mechanics of materials and fluids (elasticity, plasticity, fluid-structure interaction, flow through porous media, biomechanics, fracture, fatigue, bond, creep, shrinkage). Other contributions report on (iii) recent advances in computational modelling and testing (numerical simulations, finite-element modeling, experimental testing), and (iv) developments and innovations in structural engineering (planning, analysis, design, construction, assembly, maintenance, repair and retrofitting of structures). Insights and Innovations in Structural Engineering, Mechanics and Computation is particularly of interest to civil, structural, mechanical, marine and aerospace engineers. Researchers, developers, practitioners and academics in these disciplines will find the content useful. Short versions of the papers, intended to be concise but self-contained summaries of the full papers, are collected in the book, while the full versions of the papers are on the accompanying CD.

Modelling the Human Body Exposure to ELF Electric Fields

Modelling the Human Body Exposure to ELF Electric Fields PDF Author: Cristina Peratta
Publisher: WIT Press
ISBN: 1845644182
Category : Technology & Engineering
Languages : en
Pages : 161

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Book Description
The objective of this book is to describe techniques to investigate the behaviour of electric fields and induced currents in the human body exposed to different scenarios of extremely low frequency (ELF) high voltage - low current electromagnetic fields by means of numerical modelling with improved Boundary Element Methods (BEM).A variety of three dimensional anatomically shaped human body models under different exposure conditions are presented and solved.The mathematical formulation for the case of human exposure to ELF electromagnetic fields departing from Maxwell equations and for the electrical properties of biological tissue is provided.The underpinning ideas of the Boundary Element Method applied to ELF fields in the human body are presented.A literature survey including electrical properties of tissues relevant to low frequency calculations has been compiled and included in one chapter.A novel improved BEM approach is introduced in order to solve this type of problems leading to more accurate results and more efficient calculations.The developed methodology is applied to three different case studies: i- overhead power transmission lines, ii- power substation rooms, and iii- pregnant woman including foetus and evolving scenarios.In all the cases, a sensitivity analysis investigating the influence of varying geometrical and electrical properties of the tissues has been conducted.The results obtained allow to identify situations of high and low exposure in the different parts of the body and to compare with existing exposure guidelines.

Generalized Collocation Methods

Generalized Collocation Methods PDF Author: Nicola Bellomo
Publisher: Springer Science & Business Media
ISBN: 081764525X
Category : Mathematics
Languages : en
Pages : 206

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Book Description
Analysis of nonlinear models and problems is crucial in the application of mathematics to real-world problems. This book approaches this important topic by focusing on collocation methods for solving nonlinear evolution equations and applying them to a variety of mathematical problems. These include wave motion models, hydrodynamic models of vehicular traffic flow, convection-diffusion models, reaction-diffusion models, and population dynamics models. The book may be used as a textbook for graduate courses on collocation methods, nonlinear modeling, and nonlinear differential equations. Examples and exercises are included in every chapter.

Recent Advances in Radial Basis Function Collocation Methods

Recent Advances in Radial Basis Function Collocation Methods PDF Author: Wen Chen
Publisher: Springer Science & Business Media
ISBN: 3642395724
Category : Technology & Engineering
Languages : en
Pages : 98

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Book Description
This book surveys the latest advances in radial basis function (RBF) meshless collocation methods which emphasis on recent novel kernel RBFs and new numerical schemes for solving partial differential equations. The RBF collocation methods are inherently free of integration and mesh, and avoid tedious mesh generation involved in standard finite element and boundary element methods. This book focuses primarily on the numerical algorithms, engineering applications, and highlights a large class of novel boundary-type RBF meshless collocation methods. These methods have shown a clear edge over the traditional numerical techniques especially for problems involving infinite domain, moving boundary, thin-walled structures, and inverse problems. Due to the rapid development in RBF meshless collocation methods, there is a need to summarize all these new materials so that they are available to scientists, engineers, and graduate students who are interest to apply these newly developed methods for solving real world’s problems. This book is intended to meet this need. Prof. Wen Chen and Dr. Zhuo-Jia Fu work at Hohai University. Prof. C.S. Chen works at the University of Southern Mississippi.