Finite Element Methods
Whiteley, Jonathan.
Finite Element Methods A Practical Guide / [electronic resource] : - 1st ed. 2017. - XI, 232 p. 28 illus. | Binding - Card Paper | - Mathematical Engineering, 2192-4732 . - Mathematical Engineering, .
This book presents practical applications of the finite element method to general differential equations. The underlying strategy of deriving the finite element solution is introduced using linear ordinary differential equations, thus allowing the basic concepts of the finite element solution to be introduced without being obscured by the additional mathematical detail required when applying this technique to partial differential equations. The author generalizes the presented approach to partial differential equations which include nonlinearities. The book also includes variations of the finite element method such as different classes of meshes and basic functions. Practical application of the theory is emphasised, with development of all concepts leading ultimately to a description of their computational implementation illustrated using Matlab functions. The target audience primarily comprises applied researchers and practitioners in engineering, but the book may also be beneficial for graduate students.
9783319499710
Mechanical Engineering
Partial Differential Equations, Numerical Analysis. Mathematical Modeling and Industrial Mathematics. Mathematical and Computational Engineering.
531
Finite Element Methods A Practical Guide / [electronic resource] : - 1st ed. 2017. - XI, 232 p. 28 illus. | Binding - Card Paper | - Mathematical Engineering, 2192-4732 . - Mathematical Engineering, .
This book presents practical applications of the finite element method to general differential equations. The underlying strategy of deriving the finite element solution is introduced using linear ordinary differential equations, thus allowing the basic concepts of the finite element solution to be introduced without being obscured by the additional mathematical detail required when applying this technique to partial differential equations. The author generalizes the presented approach to partial differential equations which include nonlinearities. The book also includes variations of the finite element method such as different classes of meshes and basic functions. Practical application of the theory is emphasised, with development of all concepts leading ultimately to a description of their computational implementation illustrated using Matlab functions. The target audience primarily comprises applied researchers and practitioners in engineering, but the book may also be beneficial for graduate students.
9783319499710
Mechanical Engineering
Partial Differential Equations, Numerical Analysis. Mathematical Modeling and Industrial Mathematics. Mathematical and Computational Engineering.
531