Abstract
The parallel solution of two coupled discrete Poisson equations in one iteration of the semidirect procedure for the biharmonic equation is considered. Assuming the unit square is covered by a grid of n2 mesh points, two blocktridiagonal systems of order n2 are to be solved in one iteration. For the parallel solution of the two coupled linear systems the ADI iterative method is applied in an efficient manner. On an SIMD-type parallel computer, one iteration vector is obtained in 71ogn steps, using n2 processors. Comparing with other recent algorithms, the technique developed brings significant savings in arithmetic steps.
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© 1981 Springer-Verlag Berlin Heidelberg
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Vajteršic, M. (1981). Solving two modified discrete poisson equations in 7logn steps on N2 processors. In: Brauer, W., et al. Conpar 81. CONPAR 1981. Lecture Notes in Computer Science, vol 111. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0105134
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DOI: https://doi.org/10.1007/BFb0105134
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