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JOURNALS // Sibirskii Zhurnal Vychislitel'noi Matematiki // Archive

Sib. Zh. Vychisl. Mat., 2017 Volume 20, Number 2, Pages 145–155 (Mi sjvm642)

This article is cited in 1 paper

On an approach to modeling wells

K. V. Voroninab, A. V. Grigorievac, Yu. M. Laevskyab

a Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6 Acad. Lavrentiev avenue, Novosibirsk, 630090, Russia
b Novosibirsk State University, 2 Pirogova str., Novosibirsk, 630090, Russia
c North-Eastern Federal University, 58 Belinsky str., Yakutsk, Republic of Sakha (Yakutia), 677027, Russia

Abstract: This paper deals with a numerical study of the diffusion problem in the presence of wells, at which integral boundary conditions are used. It is shown that the method proposed earlier is fully efficient and offers certain advantages as compared with the direct modeling of wells based on the finite element method. The results of calculations for the two wells are presented.

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

UDC: 519.632

Received: 06.09.2016
Revised: 10.10.2016

DOI: 10.15372/SJNM20170203


 English version:
Numerical Analysis and Applications, 2017, 10:2, 120–128

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