Geodesic
Some fast finite-difference solvers for Dirichlet problems on general domains
Applications of Mathematics, Tome 27 (1982) no. 4, pp. 237-242
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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.
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.
DOI : 10.21136/AM.1982.103968
Classification : 35J25, 65B05, 65N10, 65N12, 65N15
Keywords: multi-parameter asymptotic error expansion; Richardson extrapolations; Dirichlet problem; deferred corrections; improving the accuracy 
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     title = {Some fast finite-difference solvers for {Dirichlet} problems on general domains},
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Dinh, Ta Van. Some fast finite-difference solvers for Dirichlet problems on general domains. Applications of Mathematics, Tome 27 (1982) no. 4, pp. 237-242. doi: 10.21136/AM.1982.103968

[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

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