Finite elements : theory and algorithms / Sashikumaar Ganesan, Lutz Tobiska.

Ganesan, Sashikumaar
Call Number
518/.25
Author
Ganesan, Sashikumaar, author.
Title
Finite elements : theory and algorithms / Sashikumaar Ganesan, Lutz Tobiska.
Physical Description
1 online resource (vi, 208 pages) : digital, PDF file(s).
Series
Cambridge--IISc series
Notes
Title from publisher's bibliographic system (viewed on 05 Jan 2018).
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.
Added Author
Tobiska, L. 1950- author.
Subject
FINITE ELEMENT METHOD.
DIFFERENTIAL EQUATIONS, PARTIAL.
Multimedia
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$a 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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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.
Notes
Title from publisher's bibliographic system (viewed on 05 Jan 2018).
Subject
FINITE ELEMENT METHOD.
DIFFERENTIAL EQUATIONS, PARTIAL.
Multimedia