The solution of ordinary differential systems on manifolds could be treated as differential algebraic equation. In this paper we consider the solution of orthogonal differential systems deriving from the application of the gradient flow techniques to minimization problems. Neglecting the constraints for the solution a differential system is derived. Hence the problem is modified introducing a stabilization technique which is a function of the constrain. The advantage of this approach is that it is possible to apply non conservative numerical methods which are cheaper. Some numerical examples are shown.
Applying Stabilization Techniques to Orthogonal Gradient Flows / C., Mastroserio; Politi, Tiziano. - (2003), pp. 149-157. (Intervento presentato al convegno International Conference on Computational Science ICCS2003 nel San Pietroburgo (Russia) 2-4 Giugno 2003) [10.1007/3-540-44862-4].
Applying Stabilization Techniques to Orthogonal Gradient Flows
POLITI, Tiziano
2003-01-01
Abstract
The solution of ordinary differential systems on manifolds could be treated as differential algebraic equation. In this paper we consider the solution of orthogonal differential systems deriving from the application of the gradient flow techniques to minimization problems. Neglecting the constraints for the solution a differential system is derived. Hence the problem is modified introducing a stabilization technique which is a function of the constrain. The advantage of this approach is that it is possible to apply non conservative numerical methods which are cheaper. Some numerical examples are shown.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
