Geodesic
A~compact projecting-grid scheme for a~class of twodimensional diffusive equations
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 6 (2003) no. 2, pp. 125-138

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A finite-element compact scheme of fourth order accuracy for the class of elliptic problems is proposed. Namely, the case of coefficients with splitting arguments is considered. The space of grid functions is designed, in which the coercive bilinear form is defined. The mesh energy norm of the error is estimated. 
@article{SJVM_2003_6_2_a2,
     author = {A. A. Bubyakin and Yu. M. Laevsky},
     title = {A~compact projecting-grid scheme for a~class of twodimensional diffusive equations},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {125--138},
     publisher = {mathdoc},
     volume = {6},
     number = {2},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2003_6_2_a2/}
}
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A. A. Bubyakin; Yu. M. Laevsky. A~compact projecting-grid scheme for a~class of twodimensional diffusive equations. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 6 (2003) no. 2, pp. 125-138. http://geodesic.mathdoc.fr/item/SJVM_2003_6_2_a2/