Franz-Theo Suttmeier

Numerical solution of Variational Inequalities by Adaptive Finite Elements (eBook, PDF)

• Format: PDF

Produktbeschreibung

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) 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.

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Produktdetails

• Verlag: Vieweg+Teubner Verlag
• Seitenzahl: 161
• Erscheinungstermin: 12. März 2009
• Englisch
• ISBN-13: 9783834895462
• Artikelnr.: 37400560

Autorenporträt

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