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portada Numerical Solution of Variational Inequalities by Adaptive Finite Elements (Advances in Numerical Mathematics)
Type
Physical Book
Language
English
Pages
161
Format
Paperback
ISBN13
9783834806642

Numerical Solution of Variational Inequalities by Adaptive Finite Elements (Advances in Numerical Mathematics)

Franz-Theo Suttmeier (Author) · Vieweg Teubner Verlag · Paperback

Numerical Solution of Variational Inequalities by Adaptive Finite Elements (Advances in Numerical Mathematics) - Franz-Theo Suttmeier

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Synopsis "Numerical Solution of Variational Inequalities by Adaptive Finite Elements (Advances in Numerical Mathematics)"

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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