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method of fictitious right-hand sides; fast algorithm; standard domain; convergence; numerical example; Poisson equation

References:

[1] B. L. Buzbee F. W. Dorr J. A. George G. H. Golub: **The direct solution of the discrete Poisson equation on irregular regions**. SIAM J. Numer. Anal. 8 (1971), 722 -736. DOI 10.1137/0708066 | MR 0292316

[2] W. Proskurowski O. Widlund: **On the numerical solution of Helmholtz's equation by the capacitance matrix method**. Math. Comput. 30 (1976), 433 - 468. MR 0421102

[3] A. S. L. Shieh: **Fast Poisson solves on general two dimensional region for the Dirichlet problem**. Numer. Math., 31 (1979), 405-429. DOI 10.1007/BF01404568 | MR 0516582