{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,20]],"date-time":"2026-08-20T15:24:23Z","timestamp":1787239463991,"version":"build-2736575974"},"reference-count":34,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","funder":[{"DOI":"10.13039\/501100000781","name":"European Research Council","doi-asserted-by":"publisher","award":["948819"],"award-info":[{"award-number":["948819"]}],"id":[{"id":"10.13039\/501100000781","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Multiscale Model. Simul."],"published-print":{"date-parts":[[2024,9,30]]},"abstract":"<jats:p>Abstract.<\/jats:p>\n                  <jats:p>We are interested in numerical algorithms for computing the electrical field generated by a charge distribution localized on scale [Formula: see text] in an infinite heterogeneous correlated random medium, in a situation where the medium is only known in a box of diameter [Formula: see text] around the support of the charge. We show that the algorithm in [J. Lu, F. Otto, and L. Wang, Optimal Artificial Boundary Conditions Based on Second-Order Correctors for Three Dimensional Random Ellilptic Media, preprint, arXiv:2109.01616, 2021], suggesting optimal Dirichlet boundary conditions motivated by the multipole expansion [P. Bella, A. Giunti, and F. Otto, Comm.\u00a0Partial Differential Equations, 45 (2020), pp.\u00a0561\u2013640], still performs well in correlated media. With overwhelming probability, we obtain a convergence rate in terms of [Formula: see text], [Formula: see text], and the size of the correlations for which optimality is supported with numerical simulations. These estimates are provided for ensembles which satisfy a multiscale logarithmic Sobolev inequality, where our main tool is an extension of the semigroup estimates in [N. Clozeau, Stoch. Partial Differ. Equ. Anal. Comput., 11 (2023), pp. 1254\u20131378]. As part of our strategy, we construct sublinear second-order correctors in this correlated setting, which is of independent interest.<\/jats:p>","DOI":"10.1137\/23m1603819","type":"journal-article","created":{"date-parts":[[2024,7,29]],"date-time":"2024-07-29T04:09:30Z","timestamp":1722226170000},"page":"973-1029","source":"Crossref","is-referenced-by-count":0,"title":["Artificial Boundary Conditions for Random Elliptic Systems with Correlated Coefficient Field"],"prefix":"10.1137","volume":"22","author":[{"given":"Nicolas","family":"Clozeau","sequence":"first","affiliation":[{"name":"Mathematics, Institute of Science and Technology Austria, Klosterneuburg, 3400, Austria."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9130-0505","authenticated-orcid":true,"given":"Lihan","family":"Wang","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213 USA."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2024,7,29]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-15545-2"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.24033\/asens.2287"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-015-0908-4"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160440805"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1137\/16M110229X"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1090\/pcms\/023\/07"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1080\/03605302.2020.1743309"},{"key":"ref8","first-page":"1254","volume":"11","author":"Clozeau N.","year":"2023","journal-title":"Stoch. 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