Geodesic
The wells problem for a~stationary equation of diffusion
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 13 (2010) no. 2, pp. 123-142

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The paper deals with the wells problem for which non-local boundary conditions are given. It is shown that this problem is equivalent to a mixed formulated problem without wells. For such a statement, an error estimate of the mixed finite element method for the 2D case is studied. 
@article{SJVM_2010_13_2_a0,
     author = {Yu. M. Laevsky},
     title = {The wells problem for a~stationary equation of diffusion},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {123--142},
     publisher = {mathdoc},
     volume = {13},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2010_13_2_a0/}
}
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Yu. M. Laevsky. The wells problem for a~stationary equation of diffusion. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 13 (2010) no. 2, pp. 123-142. http://geodesic.mathdoc.fr/item/SJVM_2010_13_2_a0/