{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T18:50:38Z","timestamp":1776797438512,"version":"3.51.2"},"reference-count":39,"publisher":"American Mathematical Society (AMS)","issue":"294","license":[{"start":{"date-parts":[[2015,11,18]],"date-time":"2015-11-18T00:00:00Z","timestamp":1447804800000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>In this paper, we consider the equations of linear elasticity in an exterior domain. We exhibit artificial boundary conditions on a circle, which lead to a non-coercive second order boundary value problem. In the particular case of an axisymmetric geometry, explicit computations can be performed in Fourier series proving the well-posedness except for a countable set of parameters. A perturbation argument allows us to consider near-circular domains. We complete the analysis by some numerical simulations.<\/p>","DOI":"10.1090\/s0025-5718-2014-02901-3","type":"journal-article","created":{"date-parts":[[2014,11,18]],"date-time":"2014-11-18T08:46:25Z","timestamp":1416300385000},"page":"1599-1632","source":"Crossref","is-referenced-by-count":5,"title":["Artificial conditions for the linear elasticity equations"],"prefix":"10.1090","volume":"84","author":[{"given":"Virginie","family":"Bonnaillie-No\u00ebl","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marc","family":"Dambrine","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fr\u00e9d\u00e9ric","family":"H\u00e9rau","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gr\u00e9gory","family":"Vial","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"14","published-online":{"date-parts":[[2014,11,18]]},"reference":[{"issue":"1","key":"1","doi-asserted-by":"publisher","first-page":"187","DOI":"10.1006\/jcph.1998.6088","article-title":"Effective boundary conditions for laminar flows over periodic rough boundaries","volume":"147","author":"Achdou, Yves","year":"1998","journal-title":"J. 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