An Introduction to Finite Element, Boundary Element, and Meshless Methods with Applications to Heat Transfer and Fluid Flow

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Publisher : American Society of Mechanical Engineers
ISBN 13 : 9780791860335
Total Pages : 0 pages
Book Rating : 4.8/5 (63 download)

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Book Synopsis An Introduction to Finite Element, Boundary Element, and Meshless Methods with Applications to Heat Transfer and Fluid Flow by : Darrell W. Pepper

Download or read book An Introduction to Finite Element, Boundary Element, and Meshless Methods with Applications to Heat Transfer and Fluid Flow written by Darrell W. Pepper and published by American Society of Mechanical Engineers. This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: When students once master the concepts of the finite element method (and meshing), it's not long before they begin to look at other numerical techniques and applications, especially the boundary element and meshless methods (since a mesh is not required). The expert authors of this book provide a simple explanation of these three powerful numerical schemes and show how they all fall under the umbrella of the more universal method of weighted residuals. The book is structured in four sections. The first introductory section provides the method of weighted residuals development of finite differences, finite volume, finite element, boundary element, and meshless methods along with 1D examples of each method. The following three sections of the book present a more detailed development of the finite element method, then progress through the boundary element method, and end with meshless methods. Each section serves as a stand-alone description, but it is apparent how each conveniently leads to the other techniques. It is recommended that the reader begin with the finite element method, as this serves as the primary basis for defining the method of weighted residuals. Computer files in both MathCad and MATLAB are available from the fbm.centecorp.com website, along with example data files.

Boundary Elements and Other Mesh Reduction Methods XXXVIII

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Publisher : WIT Press
ISBN 13 : 1784660272
Total Pages : 361 pages
Book Rating : 4.7/5 (846 download)

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Book Synopsis Boundary Elements and Other Mesh Reduction Methods XXXVIII by : A.H-D. Cheng

Download or read book Boundary Elements and Other Mesh Reduction Methods XXXVIII written by A.H-D. Cheng and published by WIT Press. This book was released on 2015-11-16 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Containing the latest in a long line of conferences covering the most recent advances in Boundary Elements and Mesh Reduction Methods (BEM/MRM), this book contains an important chapter in the history of this important method used in science and engineering. The BEM/MRM conference has long been recognised as THE international forum on the technique. The proceedings of the conference therefore constitute a record of the development of the method, running from the initial successful development of boundary integral techniques into the BEM, a method that eliminates the need for an internal mesh, to the recent and most sophisticated Mesh Reduction and even Meshless Methods. Since the boundary elements, mesh reduction, and meshless methods are used in many engineering and scientific fields, the book will be of great interest to all engineers and scientists working within the areas of numerical analysis, boundary elements and meshless methods. Topics covered include: Advanced formulations; Advanced meshless and mesh reduction methods; Structural mechanics applications; Solid mechanics; Heat and mass transfer, Electrical engineering and electromagnetics; Computational methods; Fluid flow modelling; Damage mechanics and fracture; Dynamics and Vibrations Engineering applications.

Boundary Elements and Other Mesh Reduction Methods XXXV

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Publisher : WIT Press
ISBN 13 : 1845647246
Total Pages : 253 pages
Book Rating : 4.8/5 (456 download)

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Book Synopsis Boundary Elements and Other Mesh Reduction Methods XXXV by : C. A. Brebbia

Download or read book Boundary Elements and Other Mesh Reduction Methods XXXV written by C. A. Brebbia and published by WIT Press. This book was released on 2013 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Boundary Element Method, as well as other meshless techniques continue to evolve and grow in importance, with new applications developed every year. The proceedings of the Wessex Institute of Technology 's conferences on the Boundary Element Method, first convened in 1978 and now held annually, are recognised internationally as the record of the latest advances on the Method and other meshless techniques and their applications. The papers presented at the 35th conference cover topics such as Advanced meshless and mesh reduction methods; Advanced formulations; Computational methods; Stochastic modelling; Emerging applications; Solid mechanics applications; Dynamics and vibrations; Damage mechanics and fracture; Material characterisation; Fluid flow modelling; Electrical engineering and electromagnetics; Heat and mass transfer.

Boundary Elements and Other Mesh Reduction Methods XXXIII

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Publisher : WIT Press
ISBN 13 : 1845645421
Total Pages : 369 pages
Book Rating : 4.8/5 (456 download)

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Book Synopsis Boundary Elements and Other Mesh Reduction Methods XXXIII by : C. A. Brebbia

Download or read book Boundary Elements and Other Mesh Reduction Methods XXXIII written by C. A. Brebbia and published by WIT Press. This book was released on 2011 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Wessex Institute of Technology has been convening conferences on the Boundary Element Method since 1978. The now-annual conference series is recognised internationally as the premiere forum for sharing the latest advances on the boundary element method and other meshless techniques and their applications, which continue to evolve and grow in importance. The papers presented at the latest conference will cover topics such as Advanced meshless and mesh reduction methods; Heat and mass transfer; Electrical engineering and electromagnetics; Fluid flow; Advanced formulations; Computational techniques; Advanced structural applications; Dynamics and vibrations; Damage mechanics and fracture; Material characterisation; Financial engineering applications; Stochastic modelling; and Emerging applications..

Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer

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Publisher : Springer Science & Business Media
ISBN 13 : 1852339888
Total Pages : 587 pages
Book Rating : 4.8/5 (523 download)

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Book Synopsis Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer by : Ben Q. Li

Download or read book Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer written by Ben Q. Li and published by Springer Science & Business Media. This book was released on 2005-12-20 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past several years, significant advances have been made in developing the discontinuous Galerkin finite element method for applications in fluid flow and heat transfer. Certain unique features of the method have made it attractive as an alternative for other popular methods such as finite volume and finite elements in thermal fluids engineering analyses. This book is written as an introductory textbook on the discontinuous finite element method for senior undergraduate and graduate students in the area of thermal science and fluid dynamics. It also can be used as a reference book for researchers and engineers who intend to use the method for research in computational fluid dynamics and heat transfer. A good portion of this book has been used in a course for computational fluid dynamics and heat transfer for senior undergraduate and first year graduate students. It also has been used by some graduate students for self-study of the basics of discontinuous finite elements. This monograph assumes that readers have a basic understanding of thermodynamics, fluid mechanics and heat transfer and some background in numerical analysis. Knowledge of continuous finite elements is not necessary but will be helpful. The book covers the application of the method for the simulation of both macroscopic and micro/nanoscale fluid flow and heat transfer phenomena.

The Boundary Element Method, Volume 1

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Publisher : John Wiley & Sons
ISBN 13 : 9780471720393
Total Pages : 480 pages
Book Rating : 4.7/5 (23 download)

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Book Synopsis The Boundary Element Method, Volume 1 by : L. C. Wrobel

Download or read book The Boundary Element Method, Volume 1 written by L. C. Wrobel and published by John Wiley & Sons. This book was released on 2002-04-22 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: The boundary element method (BEM) is a modern numerical techniquewhich has enjoyed increasing popularity over the last two decades,and is now an established alternative to traditional computationalmethods of engineering analysis. The main advantage of the BEM isits unique ability to provide a complete solution in terms ofboundary values only, with substantial savings in modelling effort. This two-volume book set is designed to provide the readers with acomprehensive and up-to-date account of the boundary element methodand its application to solving engineering problems. Each volume isa self-contained book including a substantial amount of materialnot previously covered by other text books on the subject. Volume 1covers applications to heat transfer, acoustics, electrochemistryand fluid mechanics problems, while volume 2 concentrates on solidsand structures, describing applications to elasticity, plasticity,elastodynamics, fracture mechanics and contact analysis. The earlychapters are designed as a teaching text for final yearundergraduate courses. Both volumes reflect the experience of theauthors over a period of more than twenty years of boundary element research. This volume, Applications in Thermo-Fluids and Acoustics, provides acomprehensive presentation of the BEM from fundamentals to advancedengineering applications and encompasses: Steady and transient heat transfer Potential and viscous fluid flows Frequency and time-domain acoustics Corrosion and other electrochemical problems. A unique feature of this book is an in-depth presentation of BEMformulations in all the above fields, including detaileddiscussions of the basic theory, numerical algorithms and practicalengineering applications of the method. Written by an internationally recognised authority in the field,this is essential reading for postgraduates, researchers andpractitioners in civil, mechanical and chemical engineering andapplied mathematics.

An Introduction to Boundary Element Methods

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Author :
Publisher : CRC Press
ISBN 13 : 1000142086
Total Pages : 390 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis An Introduction to Boundary Element Methods by : Prem K. Kythe

Download or read book An Introduction to Boundary Element Methods written by Prem K. Kythe and published by CRC Press. This book was released on 2020-11-25 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite element and the boundary element methods are the two most important developments in numerical mathematics to occur in this century. Many engineering and mathematics graduate curricula now include a course in boundary element methods. Such a course must cover numerical methods, basic methodology to real problems, and interactive computer usage. Both theory and applications, necessary for applied courses, are available in this new textbook. An Introduction to Boundary Element Methods is logically organized and easy to read. The topics are carefully selected and meticulously presented. Applications are described for use in identifying potential problems and for heat transfer, diffusion equations, linear elasticity, water waves, ocean acoustics, acoustic scattering, aerodynamics, porous media, and simple laminar flows. More than 20 computer subroutines help develop and explain the computational aspect of the subject. Hundreds of figures, exercises, and solved examples supplement text and help clarify important information. The computer programs have been tested on some benchmark problems. Even in single precision the results are more accurate and better than those obtained from available Fortran programs.

Fundamentals of the Finite Element Method for Heat and Fluid Flow

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Publisher : John Wiley & Sons
ISBN 13 : 0470020814
Total Pages : 356 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Fundamentals of the Finite Element Method for Heat and Fluid Flow by : Roland W. Lewis

Download or read book Fundamentals of the Finite Element Method for Heat and Fluid Flow written by Roland W. Lewis and published by John Wiley & Sons. This book was released on 2004-07-16 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Heat transfer is the area of engineering science which describes the energy transport between material bodies due to a difference in temperature. The three different modes of heat transport are conduction, convection and radiation. In most problems, these three modes exist simultaneously. However, the significance of these modes depends on the problems studied and often, insignificant modes are neglected. Very often books published on Computational Fluid Dynamics using the Finite Element Method give very little or no significance to thermal or heat transfer problems. From the research point of view, it is important to explain the handling of various types of heat transfer problems with different types of complex boundary conditions. Problems with slow fluid motion and heat transfer can be difficult problems to handle. Therefore, the complexity of combined fluid flow and heat transfer problems should not be underestimated and should be dealt with carefully. This book: Is ideal for teaching senior undergraduates the fundamentals of how to use the Finite Element Method to solve heat transfer and fluid dynamics problems Explains how to solve various heat transfer problems with different types of boundary conditions Uses recent computational methods and codes to handle complex fluid motion and heat transfer problems Includes a large number of examples and exercises on heat transfer problems In an era of parallel computing, computational efficiency and easy to handle codes play a major part. Bearing all these points in mind, the topics covered on combined flow and heat transfer in this book will be an asset for practising engineers and postgraduate students. Other topics of interest for the heat transfer community, such as heat exchangers and radiation heat transfer, are also included.

The Finite Element Method

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Author :
Publisher : CRC Press
ISBN 13 : 1315395088
Total Pages : 592 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis The Finite Element Method by : Darrell W. Pepper

Download or read book The Finite Element Method written by Darrell W. Pepper and published by CRC Press. This book was released on 2017-04-11 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-explanatory guide introduces the basic fundamentals of the Finite Element Method in a clear manner using comprehensive examples. Beginning with the concept of one-dimensional heat transfer, the first chapters include one-dimensional problems that can be solved by inspection. The book progresses through more detailed two-dimensional elements to three-dimensional elements, including discussions on various applications, and ending with introductory chapters on the boundary element and meshless methods, where more input data must be provided to solve problems. Emphasis is placed on the development of the discrete set of algebraic equations. The example problems and exercises in each chapter explain the procedure for defining and organizing the required initial and boundary condition data for a specific problem, and computer code listings in MATLAB and MAPLE are included for setting up the examples within the text, including COMSOL files. Widely used as an introductory Finite Element Method text since 1992 and used in past ASME short courses and AIAA home study courses, this text is intended for undergraduate and graduate students taking Finite Element Methodology courses, engineers working in the industry that need to become familiar with the FEM, and engineers working in the field of heat transfer. It can also be used for distance education courses that can be conducted on the web. Highlights of the new edition include: - Inclusion of MATLAB, MAPLE code listings, along with several COMSOL files, for the example problems within the text. Power point presentations per chapter and a solution manual are also available from the web. - Additional introductory chapters on the boundary element method and the meshless method. - Revised and updated content. -Simple and easy to follow guidelines for understanding and applying the Finite Element Method.

Mesh Free Methods

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Publisher : CRC Press
ISBN 13 : 1420040588
Total Pages : 715 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Mesh Free Methods by : G.R. Liu

Download or read book Mesh Free Methods written by G.R. Liu and published by CRC Press. This book was released on 2002-07-29 with total page 715 pages. Available in PDF, EPUB and Kindle. Book excerpt: As we attempt to solve engineering problems of ever increasing complexity, so must we develop and learn new methods for doing so. The Finite Difference Method used for centuries eventually gave way to Finite Element Methods (FEM), which better met the demands for flexibility, effectiveness, and accuracy in problems involving complex geometry. Now,

The Finite Element Method

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Publisher :
ISBN 13 : 9781315395074
Total Pages : pages
Book Rating : 4.3/5 (95 download)

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Book Synopsis The Finite Element Method by : Darrell W. Pepper

Download or read book The Finite Element Method written by Darrell W. Pepper and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Boundary Elements and Other Mesh Reduction Methods

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Publisher : WIT Press
ISBN 13 : 1784662275
Total Pages : 249 pages
Book Rating : 4.7/5 (846 download)

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Book Synopsis Boundary Elements and Other Mesh Reduction Methods by : C.A. Brebbia

Download or read book Boundary Elements and Other Mesh Reduction Methods written by C.A. Brebbia and published by WIT Press. This book was released on 2018-02-01 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formed of presented papers this volume contains research from the 40th International Conference on Boundary Elements and other Mesh Reduction Methods, recognised as THE international forum for the latest advances in these techniques and their applications in science and engineering. The ongoing success of this series is a result of the strength of research being carried out all over the world and the coverage has continually evolved in line with the latest developments in the field. The books originating from this conference series constitute a record of the development of BEM/MRM, running from the initial successful development of boundary integral techniques into the boundary element method, a technique that eliminates the need for an internal mesh, to the recent and most sophisticated Mesh Reduction and even Meshless Methods. Since these methods are used in many engineering and scientific fields the 2017 book, Boundary Elements and other Mesh Reduction Methods XXXX, like the series before, will be of great interest to those working within the areas of numerical analysis, boundary elements and meshless methods. The research papers included in this volume cover: Advanced formulations; Advanced meshless and mesh reduction methods; Structural mechanics applications; Solid mechanics; Heat and mass transfer; Electrical engineering and electromagnetics; Computational methods; Fluid flow modelling; Damage mechanics and fracture; Dynamics and vibrations; Engineering applications; Interfacing with other methods; Coupling with design and manufacturing; Solution of large systems of equations.

The Finite Element Method with Heat Transfer and Fluid Mechanics Applications

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Publisher : Cambridge University Press
ISBN 13 : 1107039819
Total Pages : 393 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis The Finite Element Method with Heat Transfer and Fluid Mechanics Applications by : Erian A. Baskharone

Download or read book The Finite Element Method with Heat Transfer and Fluid Mechanics Applications written by Erian A. Baskharone and published by Cambridge University Press. This book was released on 2014 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook begins with the finite element method (FEM) before focusing on FEM in heat transfer and fluid mechanics.

The Boundary Element Method, Volume 2

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Publisher : John Wiley & Sons
ISBN 13 : 9780470842980
Total Pages : 614 pages
Book Rating : 4.8/5 (429 download)

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Book Synopsis The Boundary Element Method, Volume 2 by : M. H. Aliabadi

Download or read book The Boundary Element Method, Volume 2 written by M. H. Aliabadi and published by John Wiley & Sons. This book was released on 2002-04-29 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: The boundary element method (BEM) is a modern numerical technique, which has enjoyed increasing popularity over the last two decades, and is now an established alternative to traditional computational methods of engineering analysis. The main advantage of the BEM is its unique ability to provide a complete solution in terms of boundary values only, with substantial savings in modelling effort. This two-volume book set is designed to provide the readers with a comprehensive and up-to-date account of the boundary element method and its application to solving engineering problems. Each volume is a self-contained book including a substantial amount of material not previously covered by other text books on the subject. Volume 1 covers applications to heat transfer, acoustics, electrochemistry and fluid mechanics problems, while volume 2 concentrates on solids and structures, describing applications to elasticity, plasticity, elastodynamics, fracture mechanics and contact analysis. The early chapters are designed as a teaching text for final year undergraduate courses. Both volumes reflect the experience of the authors over a period of more than twenty years of boundary element research. This volume, Applications in Solids and Structures, provides a comprehensive presentation of the BEM from fundamentals to advanced engineering applications and encompasses: Elasticity for 2D, 3D and Plates and Shells Non-linear, Transient and Thermal Stress Analysis Crack Growth and Multi-body Contact Mechanics Sensitivity Analysis and Optimisation Analysis of Assembled Structures. An important feature of this book is the in-depth presentation of BEM formulations in all the above fields, including detailed discussions of the basic theory, numerical algorithms and where possible simple examples are included, as well as test results for practical engineering applications of the method. Although most of the methods presented are the latest developments in the field, the author has included some simple techniques, which are helpful in understanding the computer implementation of BEM. Another notable feature is the comprehensive presentation of a new generation of boundary elements known as the Dual Boundary Element Method. Written by an internationally recognised authority in the field, this is essential reading for postgraduates, researchers and practitioners in Aerospace, Mechanical and Civil Engineering and Applied Mathematics.

Finite and Boundary Element Methods in Engineering

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Publisher : Routledge
ISBN 13 : 1351448641
Total Pages : 496 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Finite and Boundary Element Methods in Engineering by : O.P. Gupta

Download or read book Finite and Boundary Element Methods in Engineering written by O.P. Gupta and published by Routledge. This book was released on 2022-03-23 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interest in finite element method as a solution technique of the computer age is reflected in the availability of many general and special purpose software based on this technique. This work aims to provide a complete and detailed explanation of the basics of the application areas.

Boundary Elements and other Mesh Reduction Methods XLI

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Publisher : WIT Press
ISBN 13 : 178466295X
Total Pages : 241 pages
Book Rating : 4.7/5 (846 download)

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Book Synopsis Boundary Elements and other Mesh Reduction Methods XLI by : Cheng, A. H-D.

Download or read book Boundary Elements and other Mesh Reduction Methods XLI written by Cheng, A. H-D. and published by WIT Press. This book was released on 2019-01-30 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Containing the proceedings from the 41st conference on Boundary Elements and other Mesh Reduction Methods (BEM/MRM), this book is a collection of high quality papers that report on advances in techniques that reduce or eliminate the type of meshes associated with such methods as finite elements or finite differences.

Methods of Fundamental Solutions in Solid Mechanics

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Author :
Publisher : Elsevier
ISBN 13 : 0128182849
Total Pages : 312 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Methods of Fundamental Solutions in Solid Mechanics by : Hui Wang

Download or read book Methods of Fundamental Solutions in Solid Mechanics written by Hui Wang and published by Elsevier. This book was released on 2019-06-06 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods of Fundamental Solutions in Solid Mechanics presents the fundamentals of continuum mechanics, the foundational concepts of the MFS, and methodologies and applications to various engineering problems. Eight chapters give an overview of meshless methods, the mechanics of solids and structures, the basics of fundamental solutions and radical basis functions, meshless analysis for thin beam bending, thin plate bending, two-dimensional elastic, plane piezoelectric problems, and heat transfer in heterogeneous media. The book presents a working knowledge of the MFS that is aimed at solving real-world engineering problems through an understanding of the physical and mathematical characteristics of the MFS and its applications. Explains foundational concepts for the method of fundamental solutions (MFS) for the advanced numerical analysis of solid mechanics and heat transfer Extends the application of the MFS for use with complex problems Considers the majority of engineering problems, including beam bending, plate bending, elasticity, piezoelectricity and heat transfer Gives detailed solution procedures for engineering problems Offers a practical guide, complete with engineering examples, for the application of the MFS to real-world physical and engineering challenges