Solution of a Screened Poisson Equation with Dirichlet Boundary Condition with the Method of Iterative Extensions

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FSAEIHE South Ural State University (National Research University)

Reference13 articles.

1. 1. Astrakhantsev G.P. Method of Fictitious Domains for a Second-Order Elliptic Equation with Natural Boundary Conditions. USSR Computational Mathematics and Mathematical Physics, 1978, vol. 18, no. 1, pp. 114-121. DOI: 10.1016/0041555378900125

2. 2. Dyakonov, E.G. Minimizing Computational Work. Asymptotically Optimal Algorithms for Elliptic Problems. Moscow, Nauka, 1989, 272 p. (in Russian)

3. 3. Bank R.E. Marching Algorithms for Elliptic Boundary Value Problems. SIAM J. on Numer. Anal., 1977, vol. 14, no. 5, pp. 792-829.

4. 4. Kaporin I.E. Method of Fictitious Unknowns for Solving Difference Elliptic Boundary Value Problems in Irregular Domains. Differential equations, 1980, vol. 16, no. 7, pp. 1211-1225. (in Russian)

5. 5. Kaporin I.E. Method of Fictitious Unknowns for Solving Difference Equations of Elliptic Type in Domains of Complex Shape. USSR Reports of the Academy of Sciences, 1980, vol. 251, no. 3, pp. 544-548. (in Russian)

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