New Properties of 9-Point Finite Difference Solution of the Laplace Equation

Author:

Dosiyev Adigüzel A.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference20 articles.

1. B.F. Smith, P.E. Bjorstad. W.D. Gropp, Domain Decomposition: parallel multilevel methods for elliptic partial differential equations, Cambridge University Press, 1996.

2. Volkov E.A.: On the method of composite meshes for Laplace’s equation on polygons. Trudy Mat. Inst. Steklov. 140, 68–102 (1976)

3. Dosiyev A.A.: A fourth order accurate composite grids method for solving Laplace’s boundary value problems with singularities. Comp. Maths Math. Phys. 42(6), 832–849 (2002)

4. A.A. Dosiyev, The high accurate block-grid method for solving Laplace’s boundary value problem with singularities, SIAM Journal on Numerical Analysis, Vol. 42, No.1, (2004), pp.153-178.

5. Volkov E.A., Dosiyev A.A.: A high accurate composite grid method for solving Laplace’s boundary value problems with singularities. Russ. J. Numer. Anal. Math. Modelling 22(3), 291–307 (2007)

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