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  1. Home
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  3. Finite Elements
  • Cited by 15
Publisher:
Cambridge University Press
Online publication date:
December 2017
Print publication year:
2017
Online ISBN:
9781108235013
DOI:
https://doi.org/10.1017/9781108235013
Subjects:
Mathematics, Algorithmics, Complexity, Computer Algebra, Computational Geometry, Electronic, Optoelectronic Devices, and Nanotechnology, Fluid Dynamics and Solid Mechanics, Computer Science, Numerical Analysis and Computational Science
Series:
Cambridge IISc Series
Information

Book description

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.

Reviews

'The book is written in a very traditional and straightforward style of theory and proof. The organization of the material makes it accessible for the reader to gain a foundational understanding of the topics … This book provides a readable, concise introduction to finite elements. Summing Up: Recommended.'

S. L. Sullivan Source: CHOICE

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