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Comp."],"abstract":"<p>This paper shows an inf-sup stability property for several well-known 2D and 3D Stokes elements on triangulations which are not fitted to a given smooth or polygonal domain. The property implies stability and optimal error estimates for a class of unfitted finite element methods for the Stokes and Stokes interface problems, such as Nitsche-XFEM or cutFEM. The error analysis is presented for the Stokes problem. All assumptions made in the paper are satisfied once the background mesh is shape-regular and fine enough.<\/p>","DOI":"10.1090\/mcom\/3288","type":"journal-article","created":{"date-parts":[[2017,5,3]],"date-time":"2017-05-03T09:04:14Z","timestamp":1493802254000},"page":"2091-2112","source":"Crossref","is-referenced-by-count":56,"title":["Inf-sup stability of geometrically unfitted Stokes finite elements"],"prefix":"10.1090","volume":"87","author":[{"given":"Johnny","family":"Guzm\u00e1n","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Maxim","family":"Olshanskii","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"14","published-online":{"date-parts":[[2017,12,22]]},"reference":[{"key":"1","doi-asserted-by":"crossref","unstructured":"S. Amdouni, K. Mansouri, Y. Renard, M. Arfaoui, and M. 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