The Finite Element Method for Boundary Value Problems: Mathematics and Computations 1st Edition Reddy 1498780539 9781498780537

The Finite Element Method for Boundary Value Problems: Mathematics and Computations 1st Edition Reddy – Ebook Instant Download/Delivery ISBN(s): 1498780539, 9781498780537

Product details:

• ISBN 10: 1498780539
• ISBN 13: 9781498780537
• Author: Reddy

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.

Table of contents:

1 Introduction

2 Concepts from Functional Analysis

3 Classical Methods of Approximation

4 The Finite Element Method

5 Self-Adjoint Differential Operators

6 Non-Self-Adjoint Differential Operators

7 Non-Linear Differential Operators

8 Basic Elements of Mapping and Interpolation Theory

9 Linear Elasticity using the Principle of Minimum Total Potential Energy

10 Linear and Nonlinear Solid Mechanics using the Principle of Virtual Displacements

11 Additional Topics in Linear Structural Mechanics

12 Convergence, Error Estimation, and Adaptivity

People also search:

the finite element method for engineers

finite element method boundary conditions

the finite element method

the finite element method in electromagnetics

the mathematical theory of finite element methods pdf