Geodesic
The numerical solution of a non-uniform problem theory of elasticity with the curvilinear interface
Dalʹnevostočnyj matematičeskij žurnal, Tome 11 (2011) no. 2, pp. 190-200

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In the paper a non-uniform problem of elasticity with the curvilinear interface between materials is considered. For these decision, the domain decomposition method in a combination to approximation of a problem by a nonconforming finite element method is applied. For a received system of a linear algebraic equations the effective iterative method with a block preconditioning is constructed. The analysis of numerical experiments is carried out. 
@article{DVMG_2011_11_2_a5,
     author = {A. V. Rukavishnikov},
     title = {The numerical solution of a non-uniform problem theory of elasticity with the curvilinear interface},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {190--200},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2011_11_2_a5/}
}
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A. V. Rukavishnikov. The numerical solution of a non-uniform problem theory of elasticity with the curvilinear interface. Dalʹnevostočnyj matematičeskij žurnal, Tome 11 (2011) no. 2, pp. 190-200. http://geodesic.mathdoc.fr/item/DVMG_2011_11_2_a5/