Numerical solution of Variational Inequalities by Adaptive Finite Elements

• Main Author: Suttmeier, Franz-Theo (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Wiesbaden : Vieweg+Teubner, 2008.
• Subjects: Mathematics.; Numerical analysis.; Numerical Analysis.; Mathematics, general.

Franz-Theo Suttmeier describes a general approach to a posteriori error estimation and adaptive mesh design for finite 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...

Table of Contents:

• Models in elasto-plasticity
• The dual-weighted-residual method
• Extensions to stabilised schemes
• Obstacle problem
• Signorini’s problem
• Strang’s problem
• General concept
• Lagrangian formalism
• Obstacle problem revisited
• Variational inequalities of second kind
• Time-dependent problems
• Applications
• Iterative Algorithms
• Conclusion.