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Finite element solution of boundary value problems : theory and computation /

Finite Element Solution of Boundary Value Problems.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Axelsson, O., 1934-
Otros Autores: Barker, V. A. (Vincent Allan), 1934-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Orlando, Fla. : Academic Press, 1984.
Colección:Computer science and applied mathematics.
Temas:
Acceso en línea:Texto completo

MARC

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020 |a 9780120687800  |q (electronic bk.) 
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035 |a (OCoLC)757653683  |z (OCoLC)898772025  |z (OCoLC)1110373618  |z (OCoLC)1162092623 
050 4 |a QA379  |b .A9 1984 
072 7 |a MAT  |x 005000  |2 bisacsh 
072 7 |a MAT  |x 034000  |2 bisacsh 
082 0 4 |a 515.3/53  |2 19 
100 1 |a Axelsson, O.,  |d 1934- 
245 1 0 |a Finite element solution of boundary value problems :  |b theory and computation /  |c O. Axelsson, V.A. Barker. 
260 |a Orlando, Fla. :  |b Academic Press,  |c 1984. 
300 |a 1 online resource (xviii, 432 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Computer science and applied mathematics 
504 |a Includes bibliographical references and index. 
588 0 |a Print version record. 
505 0 |a Front Cover; Finite Element Solution of Boundary Value Problems: Theory and Computation; Copyright Page; Dedication; Table of Contents; Preface; Acknowledgments; List of Symbols; CHAPTER 1. Quadratic Functionals on Finite-Dimensional Vector Spaces; Introduction; 1.1 Quadratic Functionals; 1.2 The Method of Steepest Descent; 1.3 The Conjugate Gradient Method; 1.4 The Preconditioned Conjugate Gradient Method; Exercises; References; CHAPTER 2. Variational Formulation of Boundary Value Problems: Part I; Introduction; 2.1 The Euler-Lagrange Equation for One-Dimensional Problems 
505 8 |a 2.2 Natural and Essential Boundary Conditions2.3 Problems in Two and Three Dimensions; 2.4 Boundary Value Problemsin Physics and Engineering; Exercises; References; CHAPTER 3. Variational Formulation of Boundary Value Problems: Part II; Introduction; 3.1 The Concept of Completion; 3.2 The Lax-Milgram Lemma and Applications; 3.3 Regularity, Symbolic Functions, and Green's Functions; Exercises; References; CHAPTER 4. The Ritz-Galerkin Method; Introduction; 4.1 The Ritz Method; 4.2 Error Analysis of the Ritz Method; 4.3 The Galerkin Method 
505 8 |a 4.4 Application of the Galerkin Method to Noncoercive ProblemsExercises; References; CHAPTER 5. The Finite Element Method; Introduction; 5.1 Finite Element Basis Functions; 5.2 Assembly of the Ritz-Galerkin System; 5.3 Isoparametric Basis Functions; 5.4 Error Analysis; 5.5 Condition Numbers; 5.6 Singularities; Exercises; References; CHAPTER 6. Direct Methods for Solving Finite Element Equations; Introduction; 6.1 Band Matrices; 6.2 Direct Methods; 6.3 Special Techniques; 6.4 Error Analysis; Exercises; References; CHAPTER 7. Iterative Solution of Finite Element Equations; Introduction 
505 8 |a 7.1 SSOR Preconditioning7.2 Preconditioning by Modified Incomplete Factorization : Part I; 7.3 Preconditioning by Modified Incomplete Factorization : Part II; 7.4 Calculation of Residuals: Computational Labor and Stability; 7.5 Comparison of Iterative and Direct Methods; 7.6 Multigrid Methods; Exercises; References; APPENDIX A: Chebyshev Polynomials; Index 
520 |a Finite Element Solution of Boundary Value Problems. 
546 |a English. 
650 0 |a Boundary value problems  |x Numerical solutions. 
650 0 |a Finite element method. 
650 6 |a Probl�emes aux limites  |x Solutions num�eriques.  |0 (CaQQLa)201-0071799 
650 6 |a M�ethode des �el�ements finis.  |0 (CaQQLa)201-0021899 
650 7 |a MATHEMATICS  |x Calculus.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Mathematical Analysis.  |2 bisacsh 
650 7 |a Boundary value problems  |x Numerical solutions  |2 fast  |0 (OCoLC)fst00837129 
650 7 |a Finite element method  |2 fast  |0 (OCoLC)fst00924897 
650 7 |a Finite-Elemente-Methode  |2 gnd  |0 (DE-588)4017233-8 
650 7 |a Randwertproblem  |2 gnd  |0 (DE-588)4048395-2 
650 7 |a Probl�emes aux limites  |x Solutions num�eriques.  |2 ram 
650 7 |a �El�ements finis, M�ethode des.  |2 ram 
700 1 |a Barker, V. A.  |q (Vincent Allan),  |d 1934- 
776 0 8 |i Print version:  |w (DLC) 83007158  |w (OCoLC)9576114 
830 0 |a Computer science and applied mathematics. 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780120687800  |z Texto completo