Optimum iterative methods for the solution of singular linear systems arising from the discretization of elliptic P.D.E.'s (Q1065499)

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scientific article; zbMATH DE number 3923966
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Optimum iterative methods for the solution of singular linear systems arising from the discretization of elliptic P.D.E.'s
scientific article; zbMATH DE number 3923966

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    Optimum iterative methods for the solution of singular linear systems arising from the discretization of elliptic P.D.E.'s (English)
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    1985
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    Optimal convergence rates of the Jacobi overrelaxation, successive overrelaxation and a Chebyshev semi-iterative method for the Poisson equation in a rectangle discretized by the 5-point scheme are computed for Neumann and periodic boundary conditions. They are compared with analogous results for the Dirichlet boundary conditions.
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    Optimal convergence rates
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    Jacobi overrelaxation
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    successive overrelaxation
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    Chebyshev semi-iterative method
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    Poisson equation
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    Neumann
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    periodic boundary conditions
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    Dirichlet
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