Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research
DIRECT METHODS IN THE PARAMETRIC MOVING BOUNDARY VARIATIONAL PROBLEM. / Demyanov, V.F.; Tamasyan, G.Sh.
DIRECT METHODS IN THE PARAMETRIC MOVING BOUNDARY VARIATIONAL PROBLEM. Taylor & Francis, 2014. p. 932-961.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research
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TY - GEN
T1 - DIRECT METHODS IN THE PARAMETRIC MOVING BOUNDARY VARIATIONAL PROBLEM
AU - Demyanov, V.F.
AU - Tamasyan, G.Sh.
PY - 2014
Y1 - 2014
N2 - In this article, we consider the moving boundary variational problem in a parametric form. By means of the tools of the nonsmooth analysis and exact penalty functions, a new form of necessary conditions for an extremum is obtained. The new conditions make it possible to construct new (“direct”) numerical algorithms. Numerical experiments have demonstrated efficiency of the proposed algorithms and the expediency to further promotion of the approach.
AB - In this article, we consider the moving boundary variational problem in a parametric form. By means of the tools of the nonsmooth analysis and exact penalty functions, a new form of necessary conditions for an extremum is obtained. The new conditions make it possible to construct new (“direct”) numerical algorithms. Numerical experiments have demonstrated efficiency of the proposed algorithms and the expediency to further promotion of the approach.
KW - Calculus of variations
KW - Exact penalties
KW - Method of hypodifferential descent
KW - Nonsmooth analysis
KW - Subdifferential
U2 - 10.1080/01630563.2014.922097
DO - 10.1080/01630563.2014.922097
M3 - Conference contribution
SP - 932
EP - 961
BT - DIRECT METHODS IN THE PARAMETRIC MOVING BOUNDARY VARIATIONAL PROBLEM
PB - Taylor & Francis
ER -
ID: 7005700