Finite elements: theory and algorithms

By:

Ganesan, Sashikumaar

Contributor(s):

Tobiska, Lutz [Co-author]

Series: Cambridge IISc SeriesPublication details: Cambridge: Cambridge University Press, 2017.Description: vi, 208 p.: hbk.: 25 cmISBN:

9781108415705

Subject(s):

DDC classification:

518.25 GAN

Summary: 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. Discusses the theories and algorithms of finite element methods in a coherent manner The construction of finite elements on simplices, quadrilaterals and hexahedrals is discussed in detail Explains object-oriented finite element algorithms and efficient implementation techniques https://www.cambridge.org/in/universitypress/subjects/computer-science/algorithmics-complexity-computer-algebra-and-computational-g/finite-elements-theory-and-algorithms?format=HB&isbn=9781108415705

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Item type	Current library	Collection	Call number	Copy number	Status	Barcode
Books	IIT Gandhinagar	General	518.25 GAN (Browse shelf(Opens below))	1	Available	035269

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Previous	518.1 MIT Probability and computing: randomized algorithms and probabilistic analysis	518.2 KUT Dynamic mode decomposition: data-driven modeling of complex systems	518.25 DEM Mathematical theory of finite elements	518.25 GAN Finite elements: theory and algorithms	518.26 ALE Early days in complex dynamics: a history of complex dynamics in one variable during 1906 - 1942	518.282 RUB Simulation and the Monte Carlo method	518.5 WIL Design of approximation algorithms	Next

Includes Bibliographical References and Index

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.

Discusses the theories and algorithms of finite element methods in a coherent manner
The construction of finite elements on simplices, quadrilaterals and hexahedrals is discussed in detail
Explains object-oriented finite element algorithms and efficient implementation techniques

https://www.cambridge.org/in/universitypress/subjects/computer-science/algorithmics-complexity-computer-algebra-and-computational-g/finite-elements-theory-and-algorithms?format=HB&isbn=9781108415705

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