%0 Journal Article %1 citeulike:13577517 %A Marusić, S. %D 2008 %I Nauka/Interperiodica %J Russian Journal of Mathematical Physics %K 74q05-homogenization-in-equilibrium-problems 35b27-homogenization-equations-in-media-with-periodic-structure 35c20-pdes-asymptotic-expansions %N 1 %P 89--97 %R 10.1134/s106192080801010x %T An Asymptotic Expansion for the Neumann Sieve Problem %U http://dx.doi.org/10.1134/s106192080801010x %V 15 %X In this paper, we study the Neumann sieve problem for the Laplace equation. Our objective is to compute the complete asymptotic expansion for the problem. The expansion consists of the interior part, in the vicinity of the filter, and an exterior part, far away from the filter. The interior approximation is a Bakhvalov-Panasenko-type expansion with terms defined by a sequence of auxiliary problems on infinite stripes and matching with the exterior expansion. We prove the related error estimate.

@article{citeulike:13577517, abstract = {{In this paper, we study the Neumann sieve problem for the Laplace equation. Our objective is to compute the complete asymptotic expansion for the problem. The expansion consists of the interior part, in the vicinity of the filter, and an exterior part, far away from the filter. The interior approximation is a Bakhvalov-Panasenko-type expansion with terms defined by a sequence of auxiliary problems on infinite stripes and matching with the exterior expansion. We prove the related error estimate.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Maru\v{s}i\'{c}, S.}, biburl = {https://www.bibsonomy.org/bibtex/258530471695771a10d481395bae6a84f/gdmcbain}, citeulike-article-id = {13577517}, citeulike-linkout-0 = {http://dx.doi.org/10.1134/s106192080801010x}, citeulike-linkout-1 = {http://link.springer.com/article/10.1134/S106192080801010X}, doi = {10.1134/s106192080801010x}, interhash = {a60859520c244c39587fd4ec05d339c7}, intrahash = {58530471695771a10d481395bae6a84f}, journal = {Russian Journal of Mathematical Physics}, keywords = {74q05-homogenization-in-equilibrium-problems 35b27-homogenization-equations-in-media-with-periodic-structure 35c20-pdes-asymptotic-expansions}, number = 1, pages = {89--97}, posted-at = {2015-04-09 05:52:25}, priority = {2}, publisher = {Nauka/Interperiodica}, timestamp = {2022-04-04T01:21:17.000+0200}, title = {An Asymptotic Expansion for the {N}eumann Sieve Problem}, url = {http://dx.doi.org/10.1134/s106192080801010x}, volume = 15, year = 2008 }