ISSN:
1436-4646
Schlagwort(e):
Variational inequality
;
Stationary point
;
Simplicial algorithm
;
Variable dimension algorithm
;
Continuous deformation
;
Triangulation
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Informatik
,
Mathematik
Notizen:
Abstract A continuous deformation algorithm is proposed for solving a variational inequality problem on a polytopeK. The algorithm embeds the polytopeK intoK× [0, ∞) and starts by applying a variable dimension algorithm onK× {0} until an approximate solution is found onK× {0}. Then by tracing the path of solutions of a system of equations the algorithm virtually follows a path of approximate solution inK× [0, ∞). When the path inK× [0, ∞) returns to level 0, i.e.,K× {0}, the variable dimension algorithm is again used until a new approximate solution is found onK× {0}. The setK× [0, ∞) is triangulated so that the approximate solution on the path improves the accuracy as the level increases. A contrivance for a practical implementation of the algorithm is proposed and tested for some test problems.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF01582567
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