Finite Elements
eBook - PDF

Finite Elements

Theory and Algorithms

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Finite Elements

Theory and Algorithms

About this book

Written in easy to understand language, this self-explanatory guide introduces the fundamentals of finite element methods and its application to differential equations. Beginning with a brief introduction to Sobolev spaces and elliptic scalar problems, the text progresses through an explanation of finite element spaces and estimates for the interpolation error. The concepts of finite element methods for parabolic scalar parabolic problems, object-oriented finite element algorithms, efficient implementation techniques, and high dimensional parabolic problems are presented in different chapters. Recent advances in finite element methods, including non-conforming finite elements for boundary value problems of higher order and approaches for solving differential equations in high dimensional domains are explained for the benefit of the reader. Numerous solved examples and mathematical theorems are interspersed throughout the text for enhanced learning.

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Yes, you can access Finite Elements by Sashikumaar Ganesan,Lutz Tobiska in PDF and/or ePUB format, as well as other popular books in Computer Science & Computer Science General. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Finite Elements
  3. Title
  4. Copyright
  5. CONTENTS
  6. PREFACE
  7. CHAPTER 1: INTRODUCTION TO SOBOLEV SPACES
  8. CHAPTER 2: ELLIPTIC SCALAR PROBLEMS
  9. CHAPTER 3: FINITE ELEMENT SPACES
  10. CHAPTER 4: INTERPOLATION AND DISCRETIZATION ERROR
  11. CHAPTER 5: BIHARMONIC EQUATION
  12. CHAPTER 6: PARABOLIC PROBLEMS
  13. CHAPTER 7: SYSTEMS IN SOLID MECHANICS
  14. CHAPTER 8: SYSTEMS IN FLUID MECHANICS
  15. CHAPTER 9: IMPLEMENTATION OF THE FINITE ELEMENT METHOD
  16. BIBLIOGRAPHY
  17. INDEX