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.
Citation:
V. D. Korneev, V. M. Sveshnikov, “Parallel algorithms and domain decomposition technologies for solving three-dimensional boundary value problems on quasi-structured grids”, Sib. Zh. Vychisl. Mat., 19:2 (2016), 183–194; Num. Anal. Appl., 9:2 (2016), 141–149