Programming Finite Elements in JavaT

by Gennadiy P. Nikishkov

Overview

Programming Finite Elements in Java™ teaches the reader how to programme the algorithms of the finite element method (FEM) in Java™. The compact, simple code helps the student to read the algorithms, to understand them and thus to be able to refine them. All of the main aspects of finite element techniques are considered: finite element solution; generation of finite element meshes; and visualization of finite element models and results with Java 3D™.

The step-by-step presentation includes algorithm programming and code explanation at each point. Problems and exercises are provided for each chapter, with Java™ source code and problem data sets available from http://extras.springer.com/2010/978-1-84882-971-8.

Product Details

ISBN-13:	9781447157595
Publisher:	Springer London
Publication date:	11/28/2014
Edition description:	2010
Pages:	402
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

About the Author

Gennadiy Nikishkov got his PhD and DSci degrees from the Moscow Engineering Physics Institute (Technical University) in computational mechanics. He held a professorship at the Moscow Engineering Physics Institute. He also had visiting positions at Georgia Institute of Technology (USA), Karlsruhe Research Center (Germany), RIKEN Institute of Physical, Chemical Research (Japan) and GKSS Research Center (Germany) and University of California at Los Angeles (USA). Currently Gennadiy Nikishkov is a Professor at the University of Aizu (Japan). His activities and research interests include computational mechanics, computational fracture mechanics, computational nanomechanics, development of finite element and boundary element codes, scientific visualization and computer graphics. For many years he taught courses on computational modeling using the finite element method.

Table of Contents

Finite Element Formulation.- Finite Element Equations for Heat Transfer.- FEM for Solid Mechanics Problems.- Finite Element Program.- Finite Element Solution.- Finite Element Processor.- Finite Element Model.- Elastic Material.- Elements.- Numerical Integration.- Two-dimensional Isoparametric Elements.- Implementation of Two-dimensional Quadratic Element.- Three-dimensional Isoparametric Elements.- Implementation of Three-dimensional Quadratic Element.- Assembly and Solution.- Direct Equation Solver.- Iterative Equation Solver.- Load Data and Load Vector Assembly.- Stress Increment, Residual Vector and Results.- Elastic–Plastic Problems.- Mesh Generation.- Mesh Generator.- Two-dimensional Mesh Generators.- Generation of Three-dimensional Meshes by Sweeping.- Pasting Mesh Blocks.- Mesh Transformations.- Copying, Writing and Reading Mesh Blocks.- Visualization of Meshes and Results.- to Java 3D™.- Visualizer.- Visualization Scene Graph.- Surface Geometry.- Edge and Face Subdivision.- Surface Subdivision.- Results Field, Color Scale, Interaction and Lights.

Editorial Reviews

From the reviews:

“Throughout the book, the author provides, in an object-oriented paradigm, clear and compact Java code snippets extracted from his own software application. … The intended audience includes advanced undergraduate students in finite element analysis courses and graduate students in introductory FEM courses. Scientists and engineers who are familiar with FEM techniques can benefit from the book’s discussion of object-oriented implementation. … this book would also be highly valuable for computer scientists who want to learn about computational science and engineering and the FEM.” (Alin Anton, ACM Computing Reviews, January, 2013)

From the Publisher