{"id":173,"date":"2017-11-28T15:15:00","date_gmt":"2017-11-28T14:15:00","guid":{"rendered":"https:\/\/project.inria.fr\/bendali\/?page_id=173"},"modified":"2017-12-05T14:05:05","modified_gmt":"2017-12-05T13:05:05","slug":"nedelec","status":"publish","type":"page","link":"https:\/\/project.inria.fr\/bendali\/program\/nedelec\/","title":{"rendered":"Jean-Claude N\u00e9d\u00e9lec"},"content":{"rendered":"<p>Centre de Math\u00e9matiques Appliqu\u00e9es, Ecole Polytechnique<\/p>\n<h2>About some operators over a unit disc related to the Laplace equation<\/h2>\n<p>We introduce variational formulations for the weakly-singular and hyper-singular operators, as well as for their corresponding inverses, associated to the Laplace operator in the domain of R\u00b3 exterior to a flat open disk in R\u00b3. Using adequate basis functions on the disk, we obtain an exact expression for the associated kernels of these four operators. This work is an extension to R\u00b3 of the article by Jerez-Hanckes and Ne\u0301de\u0301lec (2012, Explicit variational forms for the inverses of integral logarithmic operators over an interval)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Centre de Math\u00e9matiques Appliqu\u00e9es, Ecole Polytechnique About some operators over a unit disc related to the Laplace equation We introduce variational formulations for the weakly-singular and hyper-singular operators, as well as for their corresponding inverses, associated to the Laplace operator in the domain of R\u00b3 exterior to a flat open\u2026<\/p>\n<p> <a class=\"continue-reading-link\" href=\"https:\/\/project.inria.fr\/bendali\/program\/nedelec\/\"><span>Continue reading<\/span><i class=\"crycon-right-dir\"><\/i><\/a> <\/p>\n","protected":false},"author":248,"featured_media":0,"parent":68,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-173","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/project.inria.fr\/bendali\/wp-json\/wp\/v2\/pages\/173","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/project.inria.fr\/bendali\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/project.inria.fr\/bendali\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/project.inria.fr\/bendali\/wp-json\/wp\/v2\/users\/248"}],"replies":[{"embeddable":true,"href":"https:\/\/project.inria.fr\/bendali\/wp-json\/wp\/v2\/comments?post=173"}],"version-history":[{"count":4,"href":"https:\/\/project.inria.fr\/bendali\/wp-json\/wp\/v2\/pages\/173\/revisions"}],"predecessor-version":[{"id":290,"href":"https:\/\/project.inria.fr\/bendali\/wp-json\/wp\/v2\/pages\/173\/revisions\/290"}],"up":[{"embeddable":true,"href":"https:\/\/project.inria.fr\/bendali\/wp-json\/wp\/v2\/pages\/68"}],"wp:attachment":[{"href":"https:\/\/project.inria.fr\/bendali\/wp-json\/wp\/v2\/media?parent=173"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}