{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T08:11:23Z","timestamp":1776845483749,"version":"3.51.2"},"reference-count":23,"publisher":"American Mathematical Society (AMS)","issue":"240","license":[{"start":{"date-parts":[[2002,12,4]],"date-time":"2002-12-04T00:00:00Z","timestamp":1038960000000},"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":"<p>The mortar technique turns out to be well adapted to handle mesh adaptivity in finite elements, since it allows for working with nonnecessarily compatible discretizations on the elements of a nonconforming partition of the initial domain. The aim of this paper is to extend the numerical analysis of residual error indicators to this type of methods for a model problem and to check their efficiency thanks to some numerical experiments.<\/p>","DOI":"10.1090\/s0025-5718-01-01401-6","type":"journal-article","created":{"date-parts":[[2002,9,20]],"date-time":"2002-09-20T14:12:48Z","timestamp":1032531168000},"page":"1371-1403","source":"Crossref","is-referenced-by-count":29,"title":["Error indicators for the mortar finite element discretization of the Laplace equation"],"prefix":"10.1090","volume":"71","author":[{"given":"Christine","family":"Bernardi","sequence":"first","affiliation":[]},{"given":"Fr\u00e9d\u00e9ric","family":"Hecht","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2001,12,4]]},"reference":[{"key":"1","unstructured":"M. Aza\u00efez, C. Bernardi, Y. Maday \u2014 Some tools for adaptivity in the spectral element method, in Proc. of the third Int. Conf. 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Valenciano \u2014 An error indicator for mortar element solutions to the Stokes problem, Internal Report  99030, Laboratoire d\u2019Analyse Num\u00e9rique, Universit\u00e9 Pierre et Marie Curie, Paris (1999)."},{"issue":"4","key":"9","doi-asserted-by":"publisher","first-page":"579","DOI":"10.1007\/PL00005393","article-title":"Adaptive finite element methods for elliptic equations with non-smooth coefficients","volume":"85","author":"Bernardi, C.","year":"2000","journal-title":"Numer. Math.","ISSN":"https:\/\/id.crossref.org\/issn\/0029-599X","issn-type":"print"},{"issue":"6","key":"10","doi-asserted-by":"publisher","first-page":"2431","DOI":"10.1137\/S0036142994264079","article-title":"A posteriori error estimators for the Raviart-Thomas element","volume":"33","author":"Braess, D.","year":"1996","journal-title":"SIAM J. Numer. Anal.","ISSN":"https:\/\/id.crossref.org\/issn\/0036-1429","issn-type":"print"},{"key":"11","unstructured":"F. Bouillault, A. Buffa, Y. Maday, F. 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