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The Finite Element Method for Boundary Value Problems

Mathematics and Computations

Karan S Surana, J N Reddy
Livre relié | Anglais | Applied and Computational Mechanics
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Description

Written by two well-respected experts in the field, The Finite Element Method for Boundary Value Problems: Mathematics and Computations bridges the gap between applied mathematics and application-oriented computational studies using FEM. Mathematically rigorous, the FEM is presented as a method of approximation for differential operators that are mathematically classified as self-adjoint, non-self-adjoint, and non-linear, thus addressing totality of all BVPs in various areas of engineering, applied mathematics, and physical sciences. These classes of operators are utilized in various methods of approximation: Galerkin method, Petrov-Galerkin Method, weighted residual method, Galerkin method with weak form, least squares method based on residual functional, etc. to establish unconditionally stable finite element computational processes using calculus of variations. Readers are able to grasp the mathematical foundation of finite element method as well as its versatility of applications. h-, p-, and k-versions of finite element method, hierarchical approximations, convergence, error estimation, error computation, and adaptivity are additional significant aspects of this book.

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Auteur(s) :
Editeur:

Contenu

Nombre de pages :
824
Langue:
Anglais
Collection :

Caractéristiques

EAN:
9781498780506
Date de parution :
02-11-16
Format:
Livre relié
Format numérique:
Genaaid
Dimensions :
178 mm x 254 mm
Poids :
3299 g

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