{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T23:47:54Z","timestamp":1776728874091,"version":"3.51.2"},"reference-count":19,"publisher":"American Mathematical Society (AMS)","issue":"244","license":[{"start":{"date-parts":[[2004,4,28]],"date-time":"2004-04-28T00:00:00Z","timestamp":1083110400000},"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>How, in a discretized model, to utilize the duality and complementarity of two saddle point variational principles is considered in the paper. A homology family of optimality conditions, different from the conventional saddle point conditions of the domain-decomposed Hellinger\u2013Reissner principle, is derived to enhance stability of hybrid finite element schemes. Based on this, a stabilized hybrid method is presented by associating element-interior displacement with an element-boundary one in a nonconforming manner. In addition, energy compatibility of strain-enriched displacements with respect to stress terms is introduced to circumvent Poisson-locking.<\/p>","DOI":"10.1090\/s0025-5718-03-01473-x","type":"journal-article","created":{"date-parts":[[2003,6,20]],"date-time":"2003-06-20T10:23:27Z","timestamp":1056104607000},"page":"1655-1673","source":"Crossref","is-referenced-by-count":18,"title":["Stabilized hybrid finite element methods based on the combination of saddle point principles of elasticity problems"],"prefix":"10.1090","volume":"72","author":[{"given":"Tianxiao","family":"Zhou","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"14","published-online":{"date-parts":[[2003,4,28]]},"reference":[{"key":"1","series-title":"Springer Series in Computational Mathematics","isbn-type":"print","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-3172-1","volume-title":"Mixed and hybrid finite element methods","volume":"15","author":"Brezzi, Franco","year":"1991","ISBN":"https:\/\/id.crossref.org\/isbn\/0387975829"},{"key":"2","series-title":"Studies in Mathematics and its Applications, Vol. 4","isbn-type":"print","volume-title":"The finite element method for elliptic problems","author":"Ciarlet, Philippe G.","year":"1978","ISBN":"https:\/\/id.crossref.org\/isbn\/0444850287"},{"issue":"4","key":"3","doi-asserted-by":"publisher","first-page":"789","DOI":"10.1137\/S0036144597321156","article-title":"Finite element methods of least-squares type","volume":"40","author":"Bochev, Pavel B.","year":"1998","journal-title":"SIAM Rev.","ISSN":"https:\/\/id.crossref.org\/issn\/1095-7200","issn-type":"print"},{"issue":"1","key":"4","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1016\/0045-7825(88)90168-5","article-title":"Two classes of mixed finite element methods","volume":"69","author":"Franca, Leopoldo P.","year":"1988","journal-title":"Comput. 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