{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T18:33:55Z","timestamp":1787337235578,"version":"build-2736575974"},"reference-count":20,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"6","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Sci. Comput."],"published-print":{"date-parts":[[2001,1]]},"abstract":"<jats:p>\n                    A set of special bilinear quadrilateral elements are developed to handle irregular nodes on the interface between different refinement levels in 1-irregular meshes for the adaptive finite element method. With this alternative approach, irregular nodes are eliminated, and at the same time the C\n                    <jats:sup>0<\/jats:sup>\n                    continuity at interelements is strictly ensured. The new elements simplify the refinement procedure and circumvent many inconveniences in local refinement with linear quadrilateral elements. Solutions to problems of a heat conduction, a reaction-diffusion, and incompressible and viscous flows past a circular cylinder are respectively presented to test the effectiveness of special elements. They demonstrate good accuracy and a potential applicability to more complex problems.\n                  <\/jats:p>","DOI":"10.1137\/s1064827599358911","type":"journal-article","created":{"date-parts":[[2003,6,11]],"date-time":"2003-06-11T11:12:06Z","timestamp":1055329926000},"page":"2029-2050","source":"Crossref","is-referenced-by-count":9,"title":["Special Bilinear Quadrilateral Elements For Locally Refined Finite Element Grids"],"prefix":"10.1137","volume":"22","author":[{"given":"Weigang","family":"Wang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,25]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1137\/0909053"},{"key":"R2","unstructured":"I. Babuska and A. K. Aziz,\n                      Survey lectures on the mathematical foundations of the finite element method\n                      , in Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations, A. K. Aziz, ed., Academic Press, New York, 1972, pp. 1\u2013359."},{"key":"R3","first-page":"129","volume":"8","author":"Brezzi F.","year":"1974","journal-title":"Rev. Fran\u00e7aise Automat. Informat. Recherche Op\u00e9rationnelle S\u00e9r. Rouge"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1016\/0045-7825(82)90071-8"},{"key":"R5","unstructured":"T. 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