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Dinh, Ta Van
Some fast finite-difference solvers for Dirichlet problems on general domains. (English). Aplikace matematiky, vol. 27 (1982), issue 4, pp. 237-242
MSC: 35J25, 65B05, 65N10, 65N12, 65N15 | MR 0666902 | Zbl 0494.65057 | DOI: 10.21136/AM.1982.103968
Keywords:
multi-parameter asymptotic error expansion; Richardson extrapolations; Dirichlet problem; deferred corrections; improving the accuracy
Summary:
The author proves the existence of the multi-parameter asymptotic error expansion to the five-point difference scheme for Dirichlet problems for the linear and semilinear elliptic PDE on general domains. By Richardson extrapolation, this expansion leads to a simple process for accelerating the convergence of the method.
References:
[1] V. Pereyra W. Proskurowski O. Widlund: High order fast Laplace solvers for Dirichlet problem on general domains. Math. Соmр. 31, 137 (1977), 1 - 17. MR 0431736
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