Optimal shape design and unilateral boundary value problems. Part II.
Haslinger, J., Neittaanmäki, P., Tiihonen, T., Kaarna, A. (1988). Optimal shape design and unilateral boundary value problems. Part II. Optimal Control Applications and Methods 9 (2), 145-163. doi:10.1002/oca.4660090204
Published inOptimal Control Applications and Methods
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 that minimizing the total potential energy of the system leads to an even distribution of contact forces on the contact boundary, even in the cases when the contact involves friction.
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Haslinger, Jaroslav; Neittaanmäki, Pekka; Tiihonen, Timo; Kaarna, Arto (Wiley, 1988)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 ...
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 ...
Neittaanmäki, Pekka; Picard, Rainer (Pergamon Press, 1981)The time harmonic acoustic boundary value problem in a smooth, bounded domain G of R2 is considered as a first order system. The optimal asymptotic L2(G) and H1(G)-error estimates 0(h2) and 0(h) resp. are derived for a ...
On the convergence of the finite element approximation of eigenfrequencies and eigenvectors to Maxwell's boundary value problem Neittaanmäki, Pekka; Picard, Rainer (Suomalainen tiedeakatemia, 1981)
Neittaanmäki, Pekka; Tiba, D. (Polish Academy of Sciences, 1987)The paper is concerned with boundary control of two-phase Stefan problems. A construction of optimal solutions, based on exploiting regularization techniques, is presented. Results of some numerical experiments are discussed.