Geodesic
Preconditioner for a~Laplace grid operator on a~condensed grid
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 16 (2013) no. 2, pp. 165-170

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In this paper, it is proved that a Laplace grid operator approximating a Dirichlet boundary value problem for the Poisson equation by the finite element method with piecewise-linear functions on an evenly condensed grid that is topologically equivalent to a rectangular grid (i.e. obtained by shifting the rectangular grid nodes) is equivalent, in the range, to the operator of a $5$-point difference scheme on a uniform grid. 
@article{SJVM_2013_16_2_a5,
     author = {A. M. Matsokin},
     title = {Preconditioner for {a~Laplace} grid operator on a~condensed grid},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {165--170},
     publisher = {mathdoc},
     volume = {16},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2013_16_2_a5/}
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A. M. Matsokin. Preconditioner for a~Laplace grid operator on a~condensed grid. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 16 (2013) no. 2, pp. 165-170. http://geodesic.mathdoc.fr/item/SJVM_2013_16_2_a5/