ISSN:
1573-2878
Keywords:
Optimal shape design
;
variational convergence theory
;
evolution variational inequalities
;
existence theorems
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Some general existence results for optimal shape design problems for systems governed by parabolic variational inequalities are established by the mapping method and variational convergence theory. Then, an existence theorem is given for the optimal shape for an electrochemical machining problem, in which the cost functional is not lower semicontinuous, by extending the general results to this case. Furthermore, this problem is approximated by a set of optimal shape design problems which have more smooth cost functionals and are easier to handle computationally.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00940650
