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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2013 Volume 53, Number 6, Pages 1004–1007 (Mi zvmmf9846)

This article is cited in 8 papers

On measurement of electrical conductivity

A. A. Ershov

Chelyabinsk State University

Abstract: A complete uniform asymptotic expansion is found for the integral $\iint_S\nabla^2udxdy$, where u is the solution of the Neumann problem with a delta-function-like derivative on the boundary. A physical application of the result is discussed.

Key words: electrical conductivity, singular series, asymptotic expansion, small contacts, computation of sums of series with trigonometric functions.

UDC: 519.634

Received: 14.01.2013

DOI: 10.7868/S0044466913060070


 English version:
Computational Mathematics and Mathematical Physics, 2013, 53:6, 823–826

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© Steklov Math. Inst. of RAS, 2026