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.

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.

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.

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.

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

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.

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.

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.

Applied Numerical Methods for Chemical Engineers emphasizes the derivation of a variety of numerical methods and their application to the solution of engineering problems, with special attention to problems in the chemical engineering field. These algorithms encompass linear and nonlinear algebraic equations, eigenvalue problems, finite difference methods, interpolation, differentiation and integration, ordinary differential equations, boundary value problems, partial differential equations, and linear and nonlinear regression analysis. MATLAB is adopted as the calculation environment throughout the book because of its ability to perform all the calculations in matrix form, its large library of built-in functions, its strong structural language, and its rich graphical visualization tools. Through this book, students and other users will learn about the basic features, advantages and disadvantages of various numerical methods, learn and practice many useful m-files developed for different numerical methods in addition to the MATLAB built-in solvers, develop and set up mathematical models for problems commonly encountered in chemical engineering, and solve chemical engineering related problems through examples and after-chapter problems with MATLAB by creating application m-files. - Clearly and concisely develops a variety of numerical methods and applies them to the solution of chemical engineering problems. These algorithms encompass linear and nonlinear algebraic equations, eigenvalue problems, finite difference methods, interpolation, linear and nonlinear regression analysis, differentiation and integration, ordinary differential equations, boundary value problems, and partial differential equations - Includes systematic development of the calculus of finite differences and its application to the integration of differential equations, and a detailed discussion of nonlinear regression analysis, with powerful programs for implementing multivariable nonlinear regression and statistical analysis of the results - Makes extensive use of MATLAB and Excel, with most of the methods discussed implemented into general MATLAB functions. All the MATLAB-language scripts developed are listed in the text and included in the book's companion website - Includes numerous real-world examples and homework problems drawn from the field of chemical and biochemical engineering