Optimal shape design and unilateral boundary value problems. I.
Haslinger, J., Neittaanmäki, P., Tiihonen, T., Kaarna, A. (1988). Optimal shape design and unilateral boundary value problems. I. Optimal Control Applications and Methods 9 (2), 127-144. doi:10.1002/oca.4660090203
Published inOptimal Control Application and Methods
In the first part we give a general existence theorem and a regularization method for an optimal control problem where the control is a domain in R″ and where the system is governed by a state relation which includes differential equations as well as inequalities. In the second part applications for optimal shape design problems governed by the Dirichlet‐Signorini boundary value problem are presented. Several numerical examples are included.
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Haslinger, Jaroslav; Neittaanmäki, Pekka; Tiihonen, Timo; Kaarna, Arto (Wiley, 1988)The shape optimization of an elastic body in contact with a rigid surface is considered. An existence result for optimal shapes as well as a numerical realization are stated. From several numerical results it can be seen ...
Haslinger, Jaroslav; Neittaanmäki, Pekka; Salmenjoki, Kimmo (Akademie věd České republiky, Matematický ústav, 1992)We consider FE-grid optimization in elliptic unilateral boundary value problems. The criterion used in grid optimization is the total potential energy of the system. It is shown that minimization of this cost functional ...
Haslinger, J.; Neittaanmäki, Pekka (University of Jyväskylä, 1983)
Haslinger, Jaroslav; Neittaanmäki, Pekka (Wiley, 1984)
Haslinger, J.; Neittaanmäki, Pekka (Cauthiers-Villars, 1987)The optímal shape design of a two-dimensíonal elastic body on rigid foundatíon is analyzed. The relation between the continuous problem and the díscrete problem achieved by FEM is presented. A numerícal realization ...