The Finite Element Method for Boundary Value Problems

The Finite Element Method for Boundary Value Problems
Author :
Publisher : CRC Press
Total Pages : 820
Release :
ISBN-10 : 9781498780513
ISBN-13 : 1498780512
Rating : 4/5 (512 Downloads)

Book Synopsis The Finite Element Method for Boundary Value Problems by : Karan S. Surana

Download or read book The Finite Element Method for Boundary Value Problems written by Karan S. Surana and published by CRC Press. This book was released on 2016-11-17 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


The Finite Element Method for Boundary Value Problems Related Books

The Finite Element Method for Boundary Value Problems
Language: en
Pages: 820
Authors: Karan S. Surana
Categories: Science
Type: BOOK - Published: 2016-11-17 - Publisher: CRC Press

GET EBOOK

Written by two well-respected experts in the field, The Finite Element Method for Boundary Value Problems: Mathematics and Computations bridges the gap between
Finite Element Solution of Boundary Value Problems
Language: en
Pages: 453
Authors: O. Axelsson
Categories: Mathematics
Type: BOOK - Published: 2014-05-10 - Publisher: Academic Press

GET EBOOK

Finite Element Solution of Boundary Value Problems: Theory and Computation provides an introduction to both the theoretical and computational aspects of the fin
The Finite Element Method for Elliptic Problems
Language: en
Pages: 551
Authors: P.G. Ciarlet
Categories: Mathematics
Type: BOOK - Published: 1978-01-01 - Publisher: Elsevier

GET EBOOK

The objective of this book is to analyze within reasonable limits (it is not a treatise) the basic mathematical aspects of the finite element method. The book s
Numerical Approximation Methods for Elliptic Boundary Value Problems
Language: en
Pages: 392
Authors: Olaf Steinbach
Categories: Mathematics
Type: BOOK - Published: 2007-12-22 - Publisher: Springer Science & Business Media

GET EBOOK

This book presents a unified theory of the Finite Element Method and the Boundary Element Method for a numerical solution of second order elliptic boundary valu
A Simple Introduction to the Mixed Finite Element Method
Language: en
Pages: 142
Authors: Gabriel N. Gatica
Categories: Mathematics
Type: BOOK - Published: 2014-01-09 - Publisher: Springer Science & Business Media

GET EBOOK

The main purpose of this book is to provide a simple and accessible introduction to the mixed finite element method as a fundamental tool to numerically solve a