Buch, Englisch, 161 Seiten, Book, Format (B × H): 168 mm x 214 mm, Gewicht: 276 g
Buch, Englisch, 161 Seiten, Book, Format (B × H): 168 mm x 214 mm, Gewicht: 276 g
Reihe: Advances in Numerical Mathematics
ISBN: 978-3-8348-0664-2
Verlag: Vieweg+Teubner Verlag
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.
Zielgruppe
Students and researchers from the field of numerical mathematics; user of adaptive finite element techniques
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
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.
