Numerical solution of Variational Inequalities by Adaptive Finite Elements

2008
ISBN: 978-3-8348-0664-2
Verlag: Vieweg+Teubner Verlag

Buch, Englisch, 161 Seiten, Book, Format (B × H): 168 mm x 214 mm, Gewicht: 276 g

Reihe: Advances in Numerical Mathematics

The author presents a general approach to a posteriori error estimation and adaptive mesh design for finite element models where the solution is subjected to inequality constraints. The local weighted residuals, that result from an extension of the so-called Dual-Weighted-Residual method, are used in a feed-back process for generating economical meshes. Based on several model problems, a general concept is proposed, which provides a systematic way of adaptive error
control for problems stated in form of variational inequalities.

Zielgruppe

Students and researchers from the field of numerical mathematics; user of adaptive finite element techniques

Autoren/Hrsg.

Suttmeier, Franz-Theo

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik

Inhaltsverzeichnis

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.

Über Autor(innen)

Dr. Franz-Theo Suttmeier is a professor of Scientific Computing at the Institute of Applied Analysis and Numerics at the University of Siegen.