{"id":2006,"date":"2019-11-29T15:44:17","date_gmt":"2019-11-29T20:44:17","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/boyland\/?page_id=2006"},"modified":"2026-03-19T08:10:26","modified_gmt":"2026-03-19T12:10:26","slug":"yi-zhang","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/boyland\/yi-zhang\/","title":{"rendered":"Yi Zhang"},"content":{"rendered":"\r\n<section class=\"fullwidth-text-block\">\r\n\t<div class=\"container px-0 pt-5\">\r\n\t\t<div class=\"row align-items-start\">\r\n\t\t\t<div class=\"col-12\">\r\n\t\t\t\t\n<h1 class=\"wp-block-heading\">Yi Zhang<\/h1>\n\n\n\n<h3 class=\"wp-block-heading\">Discontinuous Galerkin Methods for Variational Inequalities and PDE-Constrained Optimizations<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Abstract: Variational inequalities and PDE-Constrained optimization appear in many applications and have recently received a significant attention. In this talk, we will first study a family of discontinuous Galerkin methods for solving a fourth order obstacle problem which represents the variational inequality of the first kind. Then we focus on an elliptic state-constrained optimal control problem and propose a novel finite element method to solve it. Both a priori and a posteriori analysis will be discussed. We will also present numerical results to gauge the performance of the proposed methods.<\/p>\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":146,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-2006","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages\/2006","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/users\/146"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/comments?post=2006"}],"version-history":[{"count":2,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages\/2006\/revisions"}],"predecessor-version":[{"id":3915,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages\/2006\/revisions\/3915"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/media?parent=2006"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}