{"id":1121,"date":"2017-06-08T11:12:23","date_gmt":"2017-06-08T09:12:23","guid":{"rendered":"https:\/\/blog.rwth-aachen.de\/ac-ces-2017\/?page_id=1121"},"modified":"2017-06-08T11:15:39","modified_gmt":"2017-06-08T09:15:39","slug":"talk-markus-bachmayr","status":"publish","type":"page","link":"https:\/\/blog.rwth-aachen.de\/ac-ces-2017\/talk-markus-bachmayr\/","title":{"rendered":"Markus Bachmayr"},"content":{"rendered":"<h2><strong> Adaptive Methods for High Dimensional PDEs<\/strong><\/h2>\n<p>This talk gives an overview of recent results on adaptive solvers for PDEs posed on high-dimensional domains, focusing on methods that combine low-rank tensor decompositions with sparse basis expansions of the lower-dimensional tensor\u00a0components. These iterative schemes are guaranteed to converge, yield computable a posteriori error bounds, and\u00a0are shown to be of near-optimal computational complexity in terms of the approximability of the solution. In the particular application to model classes of parameter-dependent diffusion problems, these complexity estimates lead to an instructive comparison of different types of tensor product approximations.<\/p>\n<p><a href=program>Back to program<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Adaptive Methods for High Dimensional PDEs This talk gives an overview of recent results on adaptive solvers for PDEs posed on high-dimensional domains, focusing on methods that combine low-rank tensor [&hellip;]<\/p>\n","protected":false},"author":1060,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"c2c_always_allow_admin_comments":false,"footnotes":""},"class_list":["post-1121","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blog.rwth-aachen.de\/ac-ces-2017\/wp-json\/wp\/v2\/pages\/1121","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.rwth-aachen.de\/ac-ces-2017\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blog.rwth-aachen.de\/ac-ces-2017\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blog.rwth-aachen.de\/ac-ces-2017\/wp-json\/wp\/v2\/users\/1060"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.rwth-aachen.de\/ac-ces-2017\/wp-json\/wp\/v2\/comments?post=1121"}],"version-history":[{"count":4,"href":"https:\/\/blog.rwth-aachen.de\/ac-ces-2017\/wp-json\/wp\/v2\/pages\/1121\/revisions"}],"predecessor-version":[{"id":1129,"href":"https:\/\/blog.rwth-aachen.de\/ac-ces-2017\/wp-json\/wp\/v2\/pages\/1121\/revisions\/1129"}],"wp:attachment":[{"href":"https:\/\/blog.rwth-aachen.de\/ac-ces-2017\/wp-json\/wp\/v2\/media?parent=1121"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}