Boundary Collocation Techniques and their Application in Engineering PDF Download

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.

Author: C. A. Brebbia
Publisher: Springer Science & Business Media
ISBN: 3642488609
Category : Technology & Engineering
Languages : en
Pages : 479

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Book Description
VI SOCRATES: I think that we ought to stress that we will write only about things that we have first hand experience in, in a coherent way that will be useful to engineers and other scientists and stressing the formulation without being too mathematical. We should write with integrity and honesty, giving reference to other authors where reference is due, but avoiding mentioning everybody just to be certain that our book is widely advertised. Above all, the book should be clear and useful. PLATO: I think we should include a good discussion of fundamental ideas, of how integral equations are formed, pointing out that they are like two dimensional shadows of three dimensional objects, ... SOCRATES: Stop there! Remember you are not 'the' Plato! PLATO: Sorry, I was carried away. ARISTOTLE: I think that the book should have many applications so that the reader can learn by looking at them how to use the method. SOCRATES: I agree. But we should be careful. It is easy to include many illustra tions and examples in a book in order to disguise its meagre contents. All examples should be relevant. ARISTOTLE: And we should also include a full computer program to give the reader if so he wishes, a working experience of the technique.

Author: Nicola Bellomo
Publisher: Springer Science & Business Media
ISBN: 0817646108
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.

Author: C. A. Brebbia
Publisher: WIT Press
ISBN: 1845644700
Category : Mathematics
Languages : en
Pages : 337

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Book Description
The proceedings of the 32nd International Conference on Boundary Elements and Other Mesh Reduction Methods, an internationally recognized forum for the dissemination of the latest advances on mesh reduction techniques and their applications in science and engineering.

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.

Author: Evangelous J. Sapountzakis
Publisher: WIT Press
ISBN: 1845644921
Category : Technology & Engineering
Languages : en
Pages : 417

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Book Description
This Festschrift is a collection of articles contributed by colleagues, collaborators and past students to honor Professor John T. Katsikadelis on the occasion of his 70 years. Professor Katsikadelis, now an emeritus professor at the National Technical University of Athens in Greece, is one of the BEM pioneers who started his research in this field with his PhD thesis at the Polytechnic Institute of New York in the 1970s and continued it to date.The book comprises 26 contributions by more than 50 leading researchers in Boundary Element Methods (BEM) and other Mesh Reduction Methods (MRM). All contributors are well-known scientists from Asia, Australia, Europe, and North and South America. The volume is essentially a collection of both original and review articles covering a variety of research topics in the areas of solid mechanics, fluid mechanics, potential theory, composite materials, fracture mechanics, damage mechanics, plasticity, heat transfer, dynamics and vibrations and soil-structure interaction. Invaluable to scientists, engineers and other professionals interested in the latest developments of the boundary integral equation methods, it addresses the needs of the BEM computational mechanics research community.The book is written for: researchers in academia and industry and graduate students focusing on solid and fluid mechanics as used in civil, mechanical and aerospace engineering.

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.

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.

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.

Author: Hélder Rodrigues
Publisher: CRC Press
ISBN: 1315732106
Category : Technology & Engineering
Languages : en
Pages : 1078

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Book Description
Optimization methodologies are fundamental instruments to tackle the complexity of today's engineering processes. Engineering Optimization 2014 is dedicated to optimization methods in engineering, and contains the papers presented at the 4th International Conference on Engineering Optimization (ENGOPT2014, Lisbon, Portugal, 8-11 September 2014). The book will be of interest to engineers, applied mathematicians, and computer scientists working on research, development and practical applications of optimization methods in engineering.