Geodesic
Marchuk identity-type second order difference schemes of 2-d and 3-d elliptic problems with intersected interfaces
Kragujevac Journal of Mathematics, Tome 30 (2007) no. 1

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Zbl
This article presents second-order difference schemes of 2-D and 3-D elliptic problems with intersecting interfaces. The discretization is made using new Marchuk identities. It possesses the typical for the method advantages as conservatism, second-order accuracy even at low smoothness of the differential problem solution. The convergence and accuracy are discussed theoretically and experimentally. Numerical tests show the feasiblity of the schemes. 
Ivanka Tr. Angelova; Lubin G. Vulkov. Marchuk identity-type second order difference schemes of 2-d and 3-d elliptic problems with intersected interfaces. Kragujevac Journal of Mathematics, Tome 30 (2007) no. 1. http://geodesic.mathdoc.fr/item/KJM_2007_30_1_a20/
@article{KJM_2007_30_1_a20,
     author = {Ivanka Tr. Angelova and Lubin G. Vulkov},
     title = {Marchuk identity-type second order difference schemes of 2-d and 3-d elliptic problems with intersected interfaces},
     journal = {Kragujevac Journal of Mathematics},
     pages = {277 - 292},
     year = {2007},
     volume = {30},
     number = {1},
     zbl = {1199.65358},
     url = {http://geodesic.mathdoc.fr/item/KJM_2007_30_1_a20/}
}
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%D 2007
%P 277 - 292
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%N 1
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%F KJM_2007_30_1_a20