E-raamat: Numerical Methods for Nonlinear Variational Problems

I Generalities on Elliptic Variational Inequalities and on Their Approximation.- II Application of the Finite Element Method to the Approximation of Some Second-Order EVI.- III On the Approximation of Parabolic Variational Inequalities.- IV Applications of Elliptic Variational Inequality Methods to the Solution of Some Nonlinear Elliptic Equations.- V Relaxation Methods and Applications.- VI Decomposition-Coordination Methods by Augmented Lagrangian: Applications.- VII Least-Squares Solution of Nonlinear Problems: Application to Nonlinear Problems in Fluid Dynamics.- Appendix I A Brief Introduction to Linear Variational Problems.-
1. Introduction.-
2. A Family of Linear Variational Problems.-
3. Internal Approximation of Problem (P).-
4. Application to the Solution of Elliptic Problems for Partial Differential Operators.-
5. Further Comments: Conclusion.- Appendix II A Finite Element Method with Upwinding for Second-Order Problems with Large First Order Terms.-
1. Introduction.-
2. The Model Problem.-
3. A Centered Finite Element Approximation.-
4. A Finite Element Approximation with Upwinding.-
5. On the Solution of the Linear System Obtained by Upwinding.-
6. Numerical Experiments.-
7. Concluding Comments.- Appendix III Some Complements on the Navier-Stokes Equations and Their Numerical Treatment.-
1. Introduction.-
4. Further Comments on the Boundary Conditions.-
5. Decomposition Properties of the Continuous and Discrete Stokes Problems of Sec.
4. Application to Their Numerical Solution.-
6. Further Comments.- Some Illustrations from an Industrial Application.- Glossary of Symbols.- Author Index.