V. S. Ryaben'kii, V. I. Turchaninov, Ye. Yu. Epshteyn, “Algorithm composition scheme for problems in composite domains based on the difference potential method”, Zh. Vychisl. Mat. Mat. Fiz., 2006, Volume 46, Number 10,Pages <nobr>1853

This article is cited in 17 papers

Algorithm composition scheme for problems in composite domains based on the difference potential method

V. S. Ryaben'kii^a, V. I. Turchaninov^a, Ye. Yu. Epshteyn^b

^a Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia
^b Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USA

Abstract: An algorithm composition scheme for the numerical solution of boundary value problems in composite domains is proposed and illustrated using an example. The scheme requires neither difference approximations of the boundary conditions nor matching conditions on the boundary between the subdomains. The scheme is suited for multiprocessor computers.

Key words: composition of algorithms, decomposition of algorithms, difference potential method, parallel computations.

UDC: 519.63

Received: 02.02.2006