The mathematical foundations of the finite element method with applications to partial differential equations [proceedings]

The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations.

Bibliographic Details
Corporate Authors:	Symposium on Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations University of Maryland, Baltimore County, ScienceDirect (Online service), University of Maryland, Baltimore County. Division of Mathematics, United States. Office of Naval Research
Other Authors:	Aziz, A. K. (Abdul Kadir)
Format:	Conference Proceeding eBook
Language:	English
Language Notes:	English.
Published:	New York, Academic Press, 1972.
Series:	Academic Press rapid manuscript reproductions.
Subjects:	Differential equations, Partial > Congresses. Finite element method > Congresses. Équations aux dérivées partielles > Congrès. Méthode des éléments finis > Congrès. MATHEMATICS > Calculus. MATHEMATICS > Mathematical Analysis. Differential equations, Partial Finite element method Elementos Finitos (Estruturas) Éléments finis, Méthode des > Congrès. Équations différentielles > Congrès. 31.45 partial differential equations. FINITE ELEMENT METHOD. PARTIAL DIFFERENTIAL EQUATIONS. CONFERENCES. Differential equations, Partial > Numerical solutions > Congresses. numerieke methoden numerical methods partial differential equations Differential and Integral Equations Differentiaal en integraalvergelijkingen Electronic books. Congress proceedings (reports) Conference papers and proceedings Conference papers and proceedings. Actes de congrès.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Front Cover; The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations; Copyright Page; Table of Contents; CONTRIBUTORS; PREFACE; PART I: SURVEY LECTURES ON THE MATHEMATICAL FOUNDATIONS OF THE FINITE ELEMENT METHOD; FOREWORD; CHAPTER 1. PRELIMINARY REMARKS; 1.1. Introduction; 1.2. Numerical solution of partial differential equations; 1.3. Finite Element Method.; 1.4. The sources of the theory of the finite element method; 1.5. The mathematical foundations of the finite element method.; Reference; CHAPTER 2. THE FUNDAMENTAL NOTIONS
6.4. Lower bounds for the finite element methodREFERENCES; CHAPTER 7. ONE PARAMETER FAMILIES OF VARIATIONAL PRINCIPLES; 7-1. Introduction; 7.2. The Penalty Method; 7.3. The weighted least square method.; References.; CHAPTER 8, FINITE ELEMENT METHOD FOR NON-SMOOTH DOMAINS AND COEFFICIENTS; 8.1. Introduction; 8.2. Problems with Lipschitzian domain.; 8.3. Problems with piecewise smooth domain; 8.4. The problem with a piecewise smooth domain-Continuation; 8.5. The interface problem; 8.6. Abrupt changes of the boundary conditions; REFERENCES
CHAPTER 9. THE PROBLEMS OF PERTURBATIONS IN THE FINITE ELEMENT METHOD9.1. Introduction; 9.2. The problem of linear perturbation operators; 9.3. Penalty method with linear perturbations; 9.4. Problems of nonlinear perturbations; REFERENCES; CHAPTER 10. THE EIGENVALUE PROBLEM; 10.1 Introduction; 10.2. The eigenvalue problem; 10.3. The linear eigenvalue problem; 10.4. Associated Eigenvalue Problems; 10.5. The approximation of the eigenvalue problem; 10.6. The approximation of the eigenvalue problem (continuation); 10.7. Examples; 10.8. Additional comments; REFERENCES.