Programming Finite Elements in Java™

By Gennadiy P. Nikishkov

Programming Finite Elements in Java™ Cover Image

This book details how to program the algorithms of the finite element method (FEM) in Java™. It covers all of the main aspects of finite element techniques. The step-by-step presentation includes algorithm programming and code explanation at each point.

Full Description

  • ISBN13: 978-1-8488-2971-8
  • 418 Pages
  • Publication Date: February 4, 2010
  • Available eBook Formats: PDF
  • eBook Price: $99.00
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Full Description
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.
Table of Contents

Table of Contents

  1. Part I: Finite Element Formulation.
  2. Introduction.
  3. Finite Element Equations for Heat Transfer.
  4. FEM for Solid Mechanics Problems.
  5. A Finite Element Program.
  6. Part II: Finite Element Processor.
  7. Finite Element Model.
  8. Elastic Material.
  9. Elements.
  10. Numerical Integration.
  11. Two
  12. dimensional Isoparametric Elements.
  13. Implementation of 2D Quadratic Element.
  14. Three
  15. dimensional Isoparametric Elements.
  16. Implementation of 3D Quadratic Element.
  17. Assembly and Solution.
  18. Direct Equation Solver.
  19. Iterative Equation Solver.
  20. Load Data and Load Vector Assembly.
  21. Stress Increment, Residual Vector and Results.
  22. Elastic–Plastic Problems. Part III: Mesh Generation.
  23. Mesh Generator.
  24. Two
  25. dimensional Mesh Generators.
  26. Generation of Three
  27. dimensional Meshes by Sweeping.
  28. Pasting Mesh Blocks.
  29. Mesh Transformations.
  30. Copying, Writing and Reading Mesh Blocks.
  31. Part IV: Visualization of Meshes and Results.
  32. Visualizer.
  33. Visualization Scene Graph.
  34. Surface Geometry.
  35. Edge and Face Subdivision.
  36. Color Scale, Mouse Interation and Lights.
  37. Appendices: Data for Finite Element Solver; Data for Mesh Generation; Data for Visualizer.
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