On the relationship between the investigation of nonlinear difference schemes and the problem of minimization

Article type: Research Article

Authors: Čiegis, Raimondas | Čiegis, Remigijus | Čiupaila, Regimantas

Affiliations: Institute of Mathematics and Informatics, 2600 Vilnius, Akademijos St. 4, Lithuania | Vilnius University, Computer Center, 2600 Vilnius, Saulėtekio St. 9A, Lithuania

Abstract: This paper is devoted to the investigation of difference schemes for the solution of an important free-surface problem: modelling of a liquid-metal contact. The existence of a solution and the convergence of proposed iterative processes are investigated in a weak sense, using the alternative form of the problem as a nonlinear constrained minimization problem.

Keywords: nonlinear difference schemes, nonlinear constrained optimization, free-surface problem

DOI: 10.3233/INF-1992-3202

Journal: Informatica, vol. 3, no. 2, pp. 159-172, 1992