{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T06:39:53Z","timestamp":1776839993885,"version":"3.51.2"},"reference-count":28,"publisher":"American Mathematical Society (AMS)","issue":"354","license":[{"start":{"date-parts":[[2025,8,15]],"date-time":"2025-08-15T00:00:00Z","timestamp":1755216000000},"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>\n                    We consider the surface Stokes equation on a smooth closed hypersurface in\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"double-struck upper R cubed\">\n                        <mml:semantics>\n                          <mml:msup>\n                            <mml:mrow class=\"MJX-TeXAtom-ORD\">\n                              <mml:mi mathvariant=\"double-struck\">R<\/mml:mi>\n                            <\/mml:mrow>\n                            <mml:mn>3<\/mml:mn>\n                          <\/mml:msup>\n                          <mml:annotation encoding=\"application\/x-tex\">\\mathbb {R}^3<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    . For discretization of this problem a generalization of the surface finite element method (SFEM) of Dziuk-Elliott combined with a Hood-Taylor pair of finite element spaces has been used in the literature. We call this method Hood-Taylor-SFEM. This method uses a penalty technique to weakly satisfy the tangentiality constraint. In this paper we present a discretization error analysis of this method resulting in optimal discretization error bounds in an energy norm. We also address linear algebra aspects related to (pre)conditioning of the system matrix.\n                  <\/p>","DOI":"10.1090\/mcom\/4008","type":"journal-article","created":{"date-parts":[[2024,8,7]],"date-time":"2024-08-07T12:38:01Z","timestamp":1723034281000},"page":"1701-1719","source":"Crossref","is-referenced-by-count":6,"title":["Analysis of the Taylor-Hood surface finite element method for the surface Stokes equation"],"prefix":"10.1090","volume":"94","author":[{"given":"Arnold","family":"Reusken","sequence":"first","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2024,8,15]]},"reference":[{"key":"1","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1017\/S0962492904000212","article-title":"Numerical solution of saddle point problems","volume":"14","author":"Benzi, Michele","year":"2005","journal-title":"Acta Numer.","ISSN":"https:\/\/id.crossref.org\/issn\/0962-4929","issn-type":"print"},{"issue":"5","key":"2","doi-asserted-by":"publisher","first-page":"2764","DOI":"10.1137\/19M1284592","article-title":"A divergence-conforming finite element method for the surface Stokes equation","volume":"58","author":"Bonito, Andrea","year":"2020","journal-title":"SIAM J. 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