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- Author: Franz-Theo Suttmeier
- Publisher: Vieweg+Teubner Verlag
- Year: 2008
- Pages: 161
- ISBN-10: 3834806641
- ISBN-13: 9783834806642
- Format: 14.8 x 21 x 0.9 cm, minkšti viršeliai
- Language: English
- SAVE -10% with code: EXTRA
Numerical Solution of Variational Inequalities by Adaptive Finite Elements (e-book) (used book) | bookbook.eu
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Description
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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- Author: Franz-Theo Suttmeier
- Publisher: Vieweg+Teubner Verlag
- Year: 2008
- Pages: 161
- ISBN-10: 3834806641
- ISBN-13: 9783834806642
- Format: 14.8 x 21 x 0.9 cm, minkšti viršeliai
- Language: English English
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
Reviews