Abstract:
An experimental study of the efficiency of 3D boundary value problem solvers on the regular subgrids
of quasi-structured parallelepipedal grids has been carried out. Five solvers are considered: three iterative:
the successive over-relaxation method, the implicit alternating direction method, the implicit incomplete
factorization method with acceleration by conjugate gradients, as well as two direct methods: PARDISO and
HEMHOLTZ — both from the Intel MKL library. The characteristic features of the conducted research are
the following: 1) the subgrids contain a small number of nodes; 2) the efficiency is estimated not only for
single calculations, but also mainly for a series of calculations, in each of which a large number of repetitions of
solving the problem with different boundary conditions on the same same subgrid. On the basis of numerical
experiments, the fastest solver under the given conditions was revealed, which turned out to be the method
of successive over-relaxation method.
Key words:regular subgrids of quasi-structured grids, boundary value problem solvers, direct methods,
iterative methods, experimental research.
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