This article is cited in 6 papers

Parallel algorithms and domain decomposition technologies for solving three-dimensional boundary value problems on quasi-structured grids

V. D. Korneev^ab, V. M. Sveshnikov<sup>ab

a</sup> Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6 Lavrentiev pr., Novosibirsk, 630090, Russia
^b Novosibirsk State University, 2 Pirogova str., Novosibirsk, 630090, Russia

Abstract: A new approach to the decomposition method of a three-dimensional computational domain into subdomains, adjoint without overlapping, which is based on a direct approximation of the Poincare-Steklov equation at the conjugation interface, is proposed. With the use of this approach, parallel algorithms and technologies for three-dimensional boundary value problems on quasi-structured grids are presented. The experimental evaluation of the parallelization efficiency on the solution of the model problem on quasi-structured parallelepipedal coordinated and uncoordinated grids is given.

Key words: boundary value problems, domain decomposition methods, Poincare-Steklov equation, quasistructured grids, algorithms and technologies of parallelization.

UDC: 519.63

Received: 08.04.2015

DOI: 10.15372/SJNM20160205

 English version: Numerical Analysis and Applications, 2016, 9:2, 141–149

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