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Found 22 Documents (Results 1–22)

Modified combined grid method for solving the Dirichlet problem for the Laplace equation on a rectangular parallelepiped. (Russian, English) Zbl 1224.35077

Zh. Vychisl. Mat. Mat. Fiz. 50, No. 2, 286-297 (2010); translation in Comput. Math., Math. Phys. 50, No. 2, 274-284 (2010).
MSC:  35J05 65M55
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A two-stage difference method for solving the Dirichlet problem for the Laplace equation on a rectangular parallelepiped. (Russian, English) Zbl 1224.35076

Zh. Vychisl. Mat. Mat. Fiz. 49, No. 3, 512-517 (2009); translation in Comput. Math., Math. Phys. 49, No. 3, 496-501 (2009).
MSC:  35J05 35J25
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On the convergence in \(C_h^1\) of the difference solution to the Laplace equation in a rectangular parallelepiped. (Russian, English) Zbl 1117.65364

Zh. Vychisl. Mat. Mat. Fiz. 45, No. 9, 1587-1593 (2005); translation in Comput. Math. Math. Phys. 45, No. 9, 1531-1537 (2005).
MSC:  65N06 65N12
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A method of composite grids on a prism with an arbitrary polygonal base. (English. Russian original) Zbl 1074.65121

Function spaces, approximations, and differential equations. Collected papers dedicated to Oleg Vladimirovich Besov on his 70th birthday. Transl. from the Russian. Moscow: Maik Nauka/Interperiodika. Proceedings of the Steklov Institute of Mathematics 243, 131-153 (2003); translation from Tr. Mat. Inst. Steklova 243, 138-160 (2003).
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Cases when the solution of the Dirichlet problem for the Laplace equation on a polygon is a polynomial. (English. Russian original) Zbl 1047.31002

Dokl. Math. 63, No. 1, 82-84 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 376, No. 5, 587-589 (2001).
MSC:  31A25 35J25
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Experimental investigation of the block method for the Laplace equation on polygons. (English. Russian original) Zbl 0968.65096

Comput. Math. Math. Phys. 38, No. 9, 1481-1489 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 9, 1544-1552 (1998).
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The fast block method for solving the Laplace equation on polygons under piecewise constant boundary conditions. (English. Russian original) Zbl 0902.65060

Mishchenko, E. F. (ed.) et al., The theory of functions and differential equations. Collected papers. In honor of the ninetieth birthday of Academician Sergej Mikhailovich Nikol’skij. Birmingham, AL: MAIK Nauka/Interperiodica Publishing, Proc. Steklov Inst. Math. 210, 66-73 (1995); translation from Tr. Mat. Inst. Steklova 210, 90-100 (1995).
MSC:  65N35 65N12 35J05
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Approximate solution of Laplace’s equation by the block method on polygons under nonanalytic boundary conditions. (English. Russian original) Zbl 0801.65103

Proc. Steklov Inst. Math. 194, 65-90 (1993); translation from Tr. Mat. Steklova 194, 63-88 (1992).
MSC:  65N30 35J05
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