On the grid method for approximating the derivatives of the solution of the Dirichlet problem for the Laplace equation on a rectangular parallelepiped

Verfasser / Beitragende:
[E. A. Volkov]
Ort, Verlag, Jahr:
2004
Enthalten in:
Russian Journal of Numerical Analysis and Mathematical Modelling, 19/3(2004-06-01), 269-278
Format:
Artikel (online)
ID: 378932535
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100 1 |a Volkov  |D E. A.  |u V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, Moscow 117966,Russia 
245 1 0 |a On the grid method for approximating the derivatives of the solution of the Dirichlet problem for the Laplace equation on a rectangular parallelepiped  |h [Elektronische Daten]  |c [E. A. Volkov] 
520 3 |a We present and justify difference schemes for obtaining the solution of the Dirichlet problem, its first derivatives and pure second derivatives on a cubic grid with uniform accuracy O (h 2), h is a grid step. We propose a method for finding a mixed derivative with accuracy O (h 2/ (ρ + h)), where ρ is the distance from a current mesh node to the boundary of a parallelepiped. 
540 |a Copyright 2004, Walter de Gruyter 
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