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Solution of the Neumann problem for the Poisson equation by the multigrid method in three-dimensional case. (Russian) Zbl 0739.65093
Multigrid methods have many variants. The one discussed here is concerned with the approximation of Neumann boundary conditions. Here the integrability condition yields an approximation of the boundary values which is slightly different from that of U. Ghia, R. Ramamurti, and K. N. Ghia [AIAA J. 26, No. 5, 538-547 (1988; Zbl 0664.76032)]. Some test examples and a more general application to the construction of curvilinear nets are added.

MSC:
65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
Citations:
Zbl 0664.76032
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