{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T16:12:11Z","timestamp":1776787931163,"version":"3.51.2"},"reference-count":29,"publisher":"American Mathematical Society (AMS)","issue":"263","license":[{"start":{"date-parts":[[2009,1,25]],"date-time":"2009-01-25T00:00:00Z","timestamp":1232841600000},"content-version":"am","delay-in-days":366,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>We prove local and pointwise error estimates for the local discontinuous Galerkin method applied to the Stokes problem in two and three dimensions. By using techniques originally developed by A. Schatz [Math. Comp., 67 (1998), 877-899] to prove pointwise estimates for the Laplace equation, we prove optimal weighted pointwise estimates for both the velocity and the pressure for domains with smooth boundaries.<\/p>","DOI":"10.1090\/s0025-5718-08-02067-x","type":"journal-article","created":{"date-parts":[[2008,4,22]],"date-time":"2008-04-22T17:24:54Z","timestamp":1208885094000},"page":"1293-1322","source":"Crossref","is-referenced-by-count":8,"title":["Local and pointwise error estimates of the local discontinuous Galerkin method applied to the Stokes problem"],"prefix":"10.1090","volume":"77","author":[{"given":"J.","family":"Guzm\u00e1n","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"14","published-online":{"date-parts":[[2008,1,25]]},"reference":[{"issue":"5","key":"1","doi-asserted-by":"publisher","first-page":"1749","DOI":"10.1137\/S0036142901384162","article-title":"Unified analysis of discontinuous Galerkin methods for elliptic problems","volume":"39","author":"Arnold, Douglas N.","year":"2001","journal-title":"SIAM J. 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