boundary element methods for engineers and scientists an introductory course with advanced topics

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Boundary Element Methods For Engineers And Scientists

Author : Lothar Gaul
ISBN : 9783662051368
Genre : Mathematics
File Size : 47. 7 MB
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Over the past decades, the Boundary Element Method has emerged as a ver satile and powerful tool for the solution of engineering problems, presenting in many cases an alternative to the more widely used Finite Element Method. As with any numerical method, the engineer or scientist who applies it to a practical problem needs to be acquainted with, and understand, its basic principles to be able to apply it correctly and be aware of its limitations. It is with this intention that we have endeavoured to write this book: to give the student or practitioner an easy-to-understand introductory course to the method so as to enable him or her to apply it judiciously. As the title suggests, this book not only serves as an introductory course, but also cov ers some advanced topics that we consider important for the researcher who needs to be up-to-date with new developments. This book is the result of our teaching experiences with the Boundary Element Method, along with research and consulting activities carried out in the field. Its roots lie in a graduate course on the Boundary Element Method given by the authors at the university of Stuttgart. The experiences gained from teaching and the remarks and questions of the students have contributed to shaping the 'Introductory course' (Chapters 1-8) to the needs of the stu dents without assuming a background in numerical methods in general or the Boundary Element Method in particular.

Advanced Numerical And Semi Analytical Methods For Differential Equations

Author : Snehashish Chakraverty
ISBN : 9781119423423
Genre : Mathematics
File Size : 26. 90 MB
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Examines numerical and semi-analytical methods for differential equations that can be used for solving practical ODEs and PDEs This student-friendly book deals with various approaches for solving differential equations numerically or semi-analytically depending on the type of equations and offers simple example problems to help readers along. Featuring both traditional and recent methods, Advanced Numerical and Semi Analytical Methods for Differential Equations begins with a review of basic numerical methods. It then looks at Laplace, Fourier, and weighted residual methods for solving differential equations. A new challenging method of Boundary Characteristics Orthogonal Polynomials (BCOPs) is introduced next. The book then discusses Finite Difference Method (FDM), Finite Element Method (FEM), Finite Volume Method (FVM), and Boundary Element Method (BEM). Following that, analytical/semi analytic methods like Akbari Ganji's Method (AGM) and Exp-function are used to solve nonlinear differential equations. Nonlinear differential equations using semi-analytical methods are also addressed, namely Adomian Decomposition Method (ADM), Homotopy Perturbation Method (HPM), Variational Iteration Method (VIM), and Homotopy Analysis Method (HAM). Other topics covered include: emerging areas of research related to the solution of differential equations based on differential quadrature and wavelet approach; combined and hybrid methods for solving differential equations; as well as an overview of fractal differential equations. Further, uncertainty in term of intervals and fuzzy numbers have also been included, along with the interval finite element method. This book: Discusses various methods for solving linear and nonlinear ODEs and PDEs Covers basic numerical techniques for solving differential equations along with various discretization methods Investigates nonlinear differential equations using semi-analytical methods Examines differential equations in an uncertain environment Includes a new scenario in which uncertainty (in term of intervals and fuzzy numbers) has been included in differential equations Contains solved example problems, as well as some unsolved problems for self-validation of the topics covered Advanced Numerical and Semi Analytical Methods for Differential Equations is an excellent text for graduate as well as post graduate students and researchers studying various methods for solving differential equations, numerically and semi-analytically.

Wave And Tidal Energy

Author : Deborah Greaves
ISBN : 9781119014454
Genre : Science
File Size : 55. 61 MB
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A comprehensive text covering all aspects of wave and tidal energy Wave and Tidal Energy provides a comprehensive and self-contained review of the developing marine renewable energy sector, drawing from the latest research and from the experience of device testing. The book has a twofold objective: to provide an overview of wave and tidal energy suitable for newcomers to the field and to serve as a reference text for advanced study and practice. Including detail on key issues such as resource characterisation, wave and tidal technology, power systems, numerical and physical modelling, environmental impact and policy. The book also includes an up-to-date review of developments worldwide and case studies of selected projects. Key features: A comprehensive and self-contained text covering all aspects of the multidisciplinary fields of wave and tidal energy. Draws upon the latest research in wave and tidal energy and the experience of leading practitioners in numerical and laboratory modelling. Regional developments worldwide are reviewed and representative projects are presented as case studies. Wave and Tidal Energy is an invaluable resource to a wide range of readers, from engineering students to technical managers and policymakers to postgraduate students and researchers.

Canadian Journal Of Civil Engineering

Author :
ISBN : STANFORD:36105122659373
Genre : Civil engineering
File Size : 36. 67 MB
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Computer Modeling In Engineering Sciences

Author :
ISBN : UCSD:31822036915189
Genre : Computer simulation
File Size : 26. 67 MB
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Archives Of Mechanics

Author :
ISBN : CORNELL:31924092834302
Genre : Mechanics, Applied
File Size : 78. 65 MB
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Industrial Applications Of The Boundary Element Method

Author : C. A. Brebbia
ISBN : 1853121835
Genre : Technology & Engineering
File Size : 69. 71 MB
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Boundary Element Methods In Transport Phenomena

Author : P. A. Ramachandran
ISBN : PSU:000043926817
Genre : Mathematics
File Size : 69. 18 MB
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Provides readers with a complete understanding of the basics of BEM and includes descriptions of how to solve numerically a wide range of transport phenomena problems.

American Book Publishing Record

Author :
ISBN : UOM:39015066043145
Genre : American literature
File Size : 82. 12 MB
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Boundary Element Method

Author : F. París
ISBN : 0198565372
Genre : Mathematics
File Size : 42. 92 MB
Format : PDF, Docs
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The boundary element method (BEM) is a powerful tool for the numerical study of engineering and physics problems. It is often considered more mathematical and difficult to comprehend than the finite element method with which it can be compared. This book dispels that myth and shows the method's great power and utility. An introductory chapter contains the preliminary mathematics required to understand later chapters making the book self-contained. For both classes of problems (potential and elasticity), chapters cover the boundary integral formulation of the problem, previously presented in differential form; the numerical solution of this integral formulation; and the implementation of this numerical approach in computer code. The book teaches the fundamentals of the method for the beginner and at the same time enables them to acquire a clear idea of its applicability. Exercises and a disk with codes and examples (Mac and PC) are enclosed. This makes it suitable as a text for graduate courses on BEM taught to engineers and scientists.

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