Finite elements: theory and algorithms
Ganesan, Sashikumaar
Finite elements: theory and algorithms - Cambridge: Cambridge University Press, 2017. - vi, 208 p.: hbk.: 25 cm. - Cambridge IISc Series .
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
9781108415705
Mathematics
Numerical Analysis
Elliptic Scalar
Finite Element
Biharmonic Equation
Parabolic Problems
518.25 GAN
Finite elements: theory and algorithms - Cambridge: Cambridge University Press, 2017. - vi, 208 p.: hbk.: 25 cm. - Cambridge IISc Series .
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
9781108415705
Mathematics
Numerical Analysis
Elliptic Scalar
Finite Element
Biharmonic Equation
Parabolic Problems
518.25 GAN
