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An asymptotic expansion for the Neumann sieve problem (CROSBI ID 138335)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Marušić, Sanja An asymptotic expansion for the Neumann sieve problem // Russian journal of mathematical physics, 15 (2008), 1; 89-97

Podaci o odgovornosti

Marušić, Sanja

engleski

An asymptotic expansion for the Neumann sieve problem

In this paper we study the Neumann sieve problem for Laplace equation. The goal of our work is to compute the complete asymptotic expansion for the problem. The expansion consists of the interior part, in vicinity of the filter and an exterior part, far from the filter. The interior approximation is a Bahvalov-Panasenko type expansion with terms defined by a sequence of auxiliary problems in infinite stripes and matched by the exterior expansion. We prove the error estimate for such an expansion.

Neumann sieve; asymptotic analysis; matched expansion; boundary layer

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Podaci o izdanju

15 (1)

2008.

89-97

objavljeno

1061-9208

Povezanost rada

Matematika

Indeksiranost