{"id":106,"date":"2015-06-06T16:44:32","date_gmt":"2015-06-06T14:44:32","guid":{"rendered":"http:\/\/project.inria.fr\/rencontresljll\/?p=72"},"modified":"2016-08-27T13:07:30","modified_gmt":"2016-08-27T11:07:30","slug":"new-ljll","status":"publish","type":"post","link":"https:\/\/project.inria.fr\/rencontresljll\/new-ljll\/","title":{"rendered":"<font color=\"red\"><strong>Monday, 6 June<\/strong><\/font><br><strong>Faker BEN BELGACEM<\/strong>, University of Technology of Compi\u00e8gne"},"content":{"rendered":"<p><span style=\"font-size: small;\"><em>Compl\u00e9tion de donn\u00e9es. R\u00e9gularisation et \u00e9l\u00e9ments finis<\/em><\/span><\/p>\n<p>Le probl\u00e8me de Cauchy consiste \u00e0 reconstruire un champ de diffusion \u00e0 partir de donn\u00e9es au bord partielles. Des mesures abondantes sont disponibles sur une partie du bord tandis qu&#8217;elles sont (totalement) manquantes sur une portion qualifi\u00e9e d&#8217;inacessible. En d\u00e9pit de la grande simplicit\u00e9 dans son \u00e9nonc\u00e9, ce probl\u00e8me est tr\u00e8s instable et sa r\u00e9solution num\u00e9rique est compliqu\u00e9e. Nous proposons ici une formulation variationnelle condens\u00e9e sur le bord incomplet bas\u00e9e sur l&#8217;approche de Steklov-Poincar\u00e9, tr\u00e8s employ\u00e9e en d\u00e9composition de domaine. Le probl\u00e8me obtenu est r\u00e9gularis\u00e9 par la m\u00e9thode de Lavrentiev avant d&#8217;\u00eatre discr\u00e9tis\u00e9 par \u00e9l\u00e9ments finis. Nous listons les propri\u00e9t\u00e9s marquantes de ce probl\u00e8me, sources d&#8217;instabilit\u00e9 et de difficult\u00e9. Nous donnons les r\u00e9sultats de convergence de la proc\u00e9dure de Lavrentiev pour ensuite r\u00e9aliser l&#8217;analyse num\u00e9rique du probl\u00e8me r\u00e9gularis\u00e9 discr\u00e9tis\u00e9. Nous pr\u00e9sentons quelques exemples num\u00e9riques pour illustrer nos r\u00e9sultats.<\/p>\n<p>11:00 a.m. to 12:00 p.m., <strong>LJLL<\/strong>, University Paris 6 (UPMC), Jussieu campus, seminar room 15-16-309. Coffee from 10:45 a.m.<\/p>","protected":false},"excerpt":{"rendered":"<p>Compl\u00e9tion de donn\u00e9es. R\u00e9gularisation et \u00e9l\u00e9ments finis Le probl\u00e8me de Cauchy consiste \u00e0 reconstruire un champ de diffusion \u00e0 partir de donn\u00e9es au bord partielles. Des mesures abondantes sont disponibles sur une partie du bord tandis qu&#8217;elles sont (totalement) manquantes sur une portion qualifi\u00e9e d&#8217;inacessible. En d\u00e9pit de la grande\u2026<\/p>\n<p> <a class=\"continue-reading-link\" href=\"https:\/\/project.inria.fr\/rencontresljll\/new-ljll\/\"><span>more<\/span><i class=\"crycon-right-dir\"><\/i><\/a> <\/p>\n","protected":false},"author":932,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":["post-106","post","type-post","status-publish","format-standard","hentry","category-seminar-15"],"_links":{"self":[{"href":"https:\/\/project.inria.fr\/rencontresljll\/wp-json\/wp\/v2\/posts\/106","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/project.inria.fr\/rencontresljll\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/project.inria.fr\/rencontresljll\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/project.inria.fr\/rencontresljll\/wp-json\/wp\/v2\/users\/932"}],"replies":[{"embeddable":true,"href":"https:\/\/project.inria.fr\/rencontresljll\/wp-json\/wp\/v2\/comments?post=106"}],"version-history":[{"count":10,"href":"https:\/\/project.inria.fr\/rencontresljll\/wp-json\/wp\/v2\/posts\/106\/revisions"}],"predecessor-version":[{"id":255,"href":"https:\/\/project.inria.fr\/rencontresljll\/wp-json\/wp\/v2\/posts\/106\/revisions\/255"}],"wp:attachment":[{"href":"https:\/\/project.inria.fr\/rencontresljll\/wp-json\/wp\/v2\/media?parent=106"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/project.inria.fr\/rencontresljll\/wp-json\/wp\/v2\/categories?post=106"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/project.inria.fr\/rencontresljll\/wp-json\/wp\/v2\/tags?post=106"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}