This article is cited in 5 papers

The wells problem for a stationary equation of diffusion

Yu. M. Laevsky<sup>ab

a</sup> Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
^b Novosibirsk State University, Novosibirsk

Abstract: 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.

Key words: wells, mixed formulation, mixed finite element method, error estimate.

UDC: 519.632

Received: 14.08.2009
Revised: 09.09.2009

 English version: Numerical Analysis and Applications, 2010, 3:2, 101–117

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