{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T15:02:42Z","timestamp":1776783762867,"version":"3.51.2"},"reference-count":37,"publisher":"American Mathematical Society (AMS)","issue":"249","license":[{"start":{"date-parts":[[2005,4,28]],"date-time":"2005-04-28T00:00:00Z","timestamp":1114646400000},"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":"

\n A finite element method is considered for dealing with nearly incompressible material. In the case of large deformations the nonlinear character of the volumetric contribution has to be taken into account. The proposed mixed method avoids volumetric locking also in this case and is robust for\n \n \n \n \n \n \u03bb\n \n <\/mml:mi>\n \n \u2192\n \n <\/mml:mo>\n \n \u221e\n \n <\/mml:mi>\n <\/mml:mrow>\n \\lambda \\to \\infty<\/mml:annotation>\n <\/mml:semantics>\n <\/mml:math>\n <\/inline-formula>\n (with\n \n \n \n \n \u03bb\n \n <\/mml:mi>\n \\lambda<\/mml:annotation>\n <\/mml:semantics>\n <\/mml:math>\n <\/inline-formula>\n being the well-known Lam\u00e9 constant). Error estimates for the\n \n \n \n \n L<\/mml:mi>\n \n \n \u221e\n \n <\/mml:mi>\n <\/mml:mrow>\n <\/mml:msup>\n L^{\\infty }<\/mml:annotation>\n <\/mml:semantics>\n <\/mml:math>\n <\/inline-formula>\n -norm are crucial in the control of the nonlinear terms.\n <\/p>","DOI":"10.1090\/s0025-5718-04-01662-x","type":"journal-article","created":{"date-parts":[[2004,9,20]],"date-time":"2004-09-20T09:57:53Z","timestamp":1095674273000},"page":"25-52","source":"Crossref","is-referenced-by-count":16,"title":["A finite element method for nearly incompressible elasticity problems"],"prefix":"10.1090","volume":"74","author":[{"given":"Dietrich","family":"Braess","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Pingbing","family":"Ming","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"14","published-online":{"date-parts":[[2004,4,28]]},"reference":[{"key":"1","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1002\/cpa.3160170104","article-title":"Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. 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