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