Numerical solution of Variational Inequalities by Adaptive Finite Elements

Description

This work describes a general approach to a posteriori error estimation and adaptive mesh design for ?nite element models where the solution is subjected to inequality constraints. This is an extension to variational inequalities of the so-called Dual-Weighted-Residual method (DWR method) which is based on a variational formulation of the problem and uses global duality arguments for deriving weighted a posteriori error estimates with respect to arbitrary functionals of the error. In these estimates local residuals of the computed solution are multiplied by sensitivity factors which are obtained from a numerically computed dual solution. The resulting local error indicators are used in a feed-back process for generating economical meshes which are tailored according to the particular goal of the computation. This method is developed here for several model problems. Based on these examples, a general concept is proposed, which provides a systematic way of adaptive error control for problems stated in form of variational inequalities.

Disclaimer:
Contents of this page are indexed from the Internet. All actions are under your responsability. Email us to report illegal contents or external links and we'll remove them immediately.

Please check the description for download links if any or do a search to find alternative books.

Can't Download?
Please search mirrors if you can't find download links for "Numerical solution of Variational Inequalities by Adaptive Finite Elements" in "Description" and someone else may update the links. Check the comments when back to find any updates.

Search Mirrors
Maybe some mirror pages will be helpful, search this book at top of this page or click here to find more info.

1. Ebooks list page : 2653
2. Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods
3. Sadhan K. Adhikari - Variational Principles and the Numerical Solution of Scattering Problems
4. Computing with Hp-Adaptive Finite Elements, Vol. 2: Frontiers: Three Dimensional Elliptic and Maxwell Problems with Application
5. Numerical Solution of Partial Differential Equations by the Finite Element Method
6. [request_ebook] Solution Manual \"Introductions to Finite Elements in Engineering\"
7. Numerical Approximation Methods for Elliptic Boundary Value Problems: Finite and Boundary Elements
8. Asymptotic Cones and Functions in Optimization and Variational Inequalities
9. Optimal Quadratic Programming Algorithms: With Applications to Variational Inequalities
10. Nonsmooth Variational Problems and Their Inequalities: Comparison Principles and Applications
11. Quadratic Programming and Affine Variational Inequalities: A Qualitative Study
12. Nonsmooth Variational Problems and Their Inequalities: Comparison Principles and Applications
13. Quadratic Programming and Affine Variational Inequalities: A Qualitative Study
14. An Introduction to Variational Inequalities and Their Applications (Classics in Applied Mathematics)
15. Quadratic Programming and Affine Variational Inequalities: A Qualitative Study
16. Variational Inequalities with Applications: A Study of Antiplane Frictional Contact Problems