Computational Framework for the Finite Element Method in MATLAB® and Python
eBook - ePub

Computational Framework for the Finite Element Method in MATLAB® and Python

  1. 166 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Computational Framework for the Finite Element Method in MATLAB® and Python

About this book

Computational Framework for the Finite Element Method in MATLAB® and Python aims to provide a programming framework for coding linear FEM using matrix-based MATLAB® language and Python scripting language. It describes FEM algorithm implementation in the most generic formulation so that it is possible to apply this algorithm to as many application problems as possible.

Readers can follow the step-by-step process of developing algorithms with clear explanations of its underlying mathematics and how to put it into MATLAB and Python code. The content is focused on aspects of numerical methods and coding FEM rather than FEM mathematical analysis. However, basic mathematical formulations for numerical techniques which are needed to implement FEM are provided. Particular attention is paid to an efficient programming style using sparse matrices.

Features

  • Contains ready-to-use coding recipes allowing fast prototyping and solving of mathematical problems using FEM

  • Suitable for upper-level undergraduates and graduates in applied mathematics, science or engineering

  • Both MATLAB and Python programming codes are provided to give readers more flexibility in the practical framework implementation

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Information

Publisher
Chapman and Hall/CRC
Year
2022
Print ISBN
9781032209258
eBook ISBN
9781000610024
Topic
Matematica
Subtopic
Informatica generale

Table of contents

  1. Cover Page
  2. Half-Title Page
  3. Title Page
  4. Copyright Page
  5. Contents
  6. Introduction
  7. Background and Basic Concepts
  8. Chapter 1 Finite Element Method for the One-Dimensional Boundary Value Problem
  9. Chapter 2 Programming One-Dimensional Finite Element Method
  10. Chapter 3 Finite Element Method for the Two-Dimensional Boundary Value Problem
  11. Chapter 4 Building Two-Dimensional Meshes
  12. Chapter 5 Programming Two-Dimensional Finite Element Method
  13. Chapter 6 Nonlinear Basis Functions
  14. Conclusion
  15. Appendix A Variational Formulation of a BVP
  16. Appendix B Discussion of Global Interpolation
  17. Appendix C Interpolatory Quadrature Formulas
  18. Appendix D Quadrature Rules and Orthogonal Polynomials
  19. Appendix E Computational Framework in Python
  20. Bibliography
  21. Index

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Yes, you can access Computational Framework for the Finite Element Method in MATLAB® and Python by Pavel Sumets in PDF and/or ePUB format, as well as other popular books in Matematica & Informatica generale. We have over 1.5 million books available in our catalogue for you to explore.