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
Julkaistu sarjassa
Optimal Control Applications and MethodsPäivämäärä
1988Pääsyrajoitukset
Tekijänoikeudet
© Wiley
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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WileyISSN Hae Julkaisufoorumista
0143-2087Asiasanat
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Optimal shape design and unilateral boundary value problems. I.
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 ... -
On FE-grid relocation in solving unilateral boundary value problems by FEM
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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) -
On the finite element method for time-harmonic acoustic boundary value problems
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 ... -
Optimal shape design of systems governed by some boundary value problems
Haslinger, Jaroslav; Neittaanmäki, Pekka (Wiley, 1984)
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