Geodesic
A~problem of flow through semipermeable obstacle
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 9 (2006) no. 2, pp. 173-188

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This paper deals with mathematical analysis of a potential flow through a thin semipermeable obstacle. The boundary value problem is characterized by the inequality type conditions imposed on a non-smooth component of the boundary. We prove solvability of the boundary value problem and analyze the solution properties. Using boundary elements, an optimization technique for the numerical solution of the problem is proposed. Numerical results for test problems are presented. 
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     author = {A. M. Khludnev and A. N. Leont'ev},
     title = {A~problem of flow through semipermeable obstacle},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
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A. M. Khludnev; A. N. Leont'ev. A~problem of flow through semipermeable obstacle. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 9 (2006) no. 2, pp. 173-188. http://geodesic.mathdoc.fr/item/SJVM_2006_9_2_a5/