Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow - Maplesoft Books - Maple Books, Maple Resources and Math Books
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# Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow

## 2014

Description

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 authors have implemented these methods in Maple and other langauges, and made the code available to the reader for further explorations and experimentation.

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, developed with the use of Maple. 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.

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Other Details
Language: English
ISBN: 978-0791860335
Publisher: ASMEPress
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 Abstract Algebra Biology Calculus Chemistry Complex Analysis Computer Algebra Computer Science Conference Proceedings Courseware Cryptography Differential Equations Differential Geometry Dynamical Systems Economics Engineering Games Linear Algebra Maple Manuals Mathematical Modeling Number Theory Numerical Analysis Operations Research Optimization Physics Pre-Calculus Probability & Statistics Programming Recent Releases Vector Calculus