UID:
almahu_9949697589902882
Format:
1 online resource (807 p.)
ISBN:
1-281-79731-6
,
9786611797317
,
0-08-087529-7
Series Statement:
Studies in mathematics and its applications ; v. 8
Uniform Title:
Analyse numérique des inéquations variationelles.
Content:
Numerical Analysis of Variational Inequalities
Note:
Revised translation of: Analyse numerique des inequations variationelles.
,
Front Cover; Numerical Analysis of Variational Inequalities; Copyright Page; TABLE OF CONTENTS; Chapter 1: General methods of approximation for steady - state inequality problems; Synopsis; 1. Examples; 2. General formulation of steady-state variational inequalities; 3. Infinite-dimensional approximation methods; 4. Interior approximations; 5. Exterior approximations; 6. Conclusions; Chapter 2: Optimisation algorithms; Synopsis; 1. The relaxation method; 2. Methods of the gradient and gradient projection type; 3. Penalty methods and variants; 4. Duality methods
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5. Application of relaxation and duality methods to the numerical analysis of a model variational problem6. Discussion; Chapter 3: Numerical analysis of the problem of the elasto-plastic torsion of a cylindrical bar; Introduction; 1. Statement of the continuous problem. Physical motivation. Synopsis; 2. Some properties of the solution of the problem (P0); 3. Numerical analysis of the problem (P1); 4. Interior approximations of (P0); 5. Exterior approximations of (P0); 6. Convergence of the interior and exterior approximations
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7. Numerical solution of the approximate problems relating to (P0), by relaxation and point over- relaxation with sequential projection8. Solution of the approximate problems relating to (Po) by penalty methods; 9. Solution of the approrimate problems relating to (P0) by duality methods; 10. Discussion; Chapter 4: Thermal control problems, boundary unilateral problems, and elliptic variational inequalities of order 4; Synopsis; 1. Problems of thermal control and of the diffusion of fluids through semi-permeable walls; 2. Friction problems
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3. A problem with unilateral constraints at the boundary4. Numerical analysis of variational inequalities of order 4; 5. Discussion; Chapter 5: Numerical analysis of the steady flow of a Bingham fluid in a cylindrical duct; 1. Statement of the continuous problem. Physical motivation. Synopsis; 2. Some properties of the solution of the continuous problem; 3. Interior approximation of (P0 ) by a finite element method; 4. Exterior approximations of (P0); 5. Convergence of the interior and exterior approximations; 6. Methods of solution by regularising j; 7. Duality methods
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8. Application to the solution of the elasto-plastic torsion problem o f Chapter 39. Discussion; Chapter 6: General methods for the approximation and solution of time-dependent variational inequalities; Introduction; 1. Background; 2. Introduction to parabolic time-dependent inequalities of type I; 3. Approximations of parabolic inequalities of type I; 4. Numerical solution of some parabolic inequalities of type I; 5. Introduction to parabolic inequalities of type II; 6. Approximation of parabolic inequalities of type II; 7. Numerical solution of parabolic inequalities
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8. Introduction to time-dependent inequalities of the second order in t
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English
Additional Edition:
ISBN 0-444-86199-8
Language:
English
