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2023 | OriginalPaper | Chapter

6. Finite Element Formulation of Field Problems

Authors : Adhir Baran Chattopadhyay, Shazia Hasan, Snehaunshu Chowdhury

Published in: Mathematical Modeling of Physical Systems

Publisher: Springer Nature Singapore

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Abstract

This chapter focuses on the numerical solution of the Laplace equation using finite element discretization, a powerful tool for problems where analytical solutions are not feasible. It covers the formulation and solution of governing equations, integral equations for element matrices, and the assembly of element matrices into a global matrix. The chapter also discusses the significance of the Laplace equation in various physical phenomena and provides detailed explanations of boundary conditions. Additionally, it explores the evaluation of element integrals and the effects of point sources and sinks. The chapter is designed to provide a thorough understanding of the finite element method for solving field problems, making it an invaluable resource for professionals in the field.
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Metadata
Title
Finite Element Formulation of Field Problems
Authors
Adhir Baran Chattopadhyay
Shazia Hasan
Snehaunshu Chowdhury
Copyright Year
2023
Publisher
Springer Nature Singapore
Book
Mathematical Modeling of Physical Systems

Print ISBN: 978-981-19-7557-8

Electronic ISBN: 978-981-19-7558-5

Copyright Year: 2023

DOI
https://doi.org/10.1007/978-981-19-7558-5_6