Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow

Pepper, Darrell W., Kassab, Alain J., Divo, Eduardo A.

ISBN 10: 0791860337 / ISBN 13: 9780791860335

Published by ASME Press, 2014

About this Item

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Bibliographic Details

Title: Introduction to Finite Element, Boundary ...

Publisher: ASME Press

Publication Date: 2014

Binding: Hardcover

Condition: New

Edition: Illustrated.

About this title

Synopsis:

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.

About the Author:

University of Nevada, Los Vegas