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.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores Corporativos: Symposium on Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations University of Maryland, Baltimore County, University of Maryland, Baltimore County. Division of Mathematics, United States. Office of Naval Research
Otros Autores: Aziz, A. K. (Abdul Kadir)
Formato: Electrónico Congresos, conferencias eBook
Idioma:Inglés
Publicado: New York, Academic Press, 1972.
Colección:Academic Press rapid manuscript reproductions.
Temas:
Differential equations, Partial > Congresses.
Finite element method > Congresses.
�Equations aux d�eriv�ees partielles > Congr�es.
M�ethode des �el�ements finis > Congr�es.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Differential equations, Partial
Finite element method
Elementos Finitos (Estruturas)
�El�ements finis, M�ethode des > Congr�es.
�Equations diff�erentielles > Congr�es.
Congress
proceedings (reports)
Conference papers and proceedings
Conference papers and proceedings.
Actes de congr�es.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

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