Vajtersic M. Some iterative poisson solvers applied to numerical solving the model fourth-order elliptic problem. Internal note IEI-B80-21, 1980. |

Abstract (English) |
The numerical solving the model fourth-order elliptic boundary value problem in two dimensions is presented. The iterative procedure in which the biharmonic operator is splitted into two Laplace operators is used. After formulating the finite-difference approximation of the procedure, a formula for the evaluation of tranaformed iteration vectora is developed. The Jacobi semi-iterative , Richardson and A.D.I. iterative Poisson solvers are applied to compute one transformed iteration vector. By the efficient use of the decomposition property of the corresponding iteration matrices, the fast Fouries transform algorithm needs to be applied two times in the evaluation of one iteration vector. | |

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