{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:44:17Z","timestamp":1777448657464,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"1-2","license":[{"start":{"date-parts":[[2008,4,1]],"date-time":"2008-04-01T00:00:00Z","timestamp":1207008000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2008,4]]},"abstract":"<jats:p>\n                    In this article, we discuss reaction-diffusion problems which produce ordinary boundary layers and elliptic corner layers. Using the classical polynomial Q\n                    <jats:sub>1<\/jats:sub>\n                    -finite elements spaces enriched with the so-called boundary layer elements which absorb the singularities due to the boundary and corner layers we are able to attain high numerical accuracies. We essentially obtain \u03b5-uniform approximation errors in a weighted energy norm with significant simplifications in the numerical implementations; here we do not use mesh refinements.\n                  <\/jats:p>","DOI":"10.3233\/asy-2008-0865","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:00:10Z","timestamp":1575054010000},"page":"41-69","source":"Crossref","is-referenced-by-count":10,"title":["Finite elements scheme in enriched subspaces for singularly perturbed reaction\u2013diffusion problems on a square domain"],"prefix":"10.1177","volume":"57","author":[{"given":"Chang-Yeol","family":"Jung","sequence":"first","affiliation":[{"name":"The Institute for Scientific Computing and Applied Mathematics, Indiana University, Bloomington, IN 47405, USA"},{"name":"Division of Applied Mathematics, Brown University, 182 George Street, Providence, RI 02912, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2008,4,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2008-0865","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2008-0865","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:38:32Z","timestamp":1777379912000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-2008-0865"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,4]]},"references-count":0,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2008,4]]}},"alternative-id":["10.3233\/ASY-2008-0865"],"URL":"https:\/\/doi.org\/10.3233\/asy-2008-0865","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,4]]}}}