{"id":139,"date":"2025-10-14T16:04:44","date_gmt":"2025-10-14T14:04:44","guid":{"rendered":"https:\/\/womeninpdes.waves.kit.edu\/2025\/?page_id=139"},"modified":"2025-10-14T16:04:47","modified_gmt":"2025-10-14T14:04:47","slug":"large-scale-generation-of-matern-type-random-fields","status":"publish","type":"page","link":"https:\/\/womeninpdes.waves.kit.edu\/2025\/abstracts\/large-scale-generation-of-matern-type-random-fields\/","title":{"rendered":"Large scale generation of Mat\u00e9rn type random fields"},"content":{"rendered":"<p>In this talk, we discuss several aspects of random field generation. From a numerical point of view, we introduce an efficient algorithm how to discretize a fractional in space operator based on a rational approximation and a sum of exponentials. We this approach we generate a wide range of random structures, including two-phase and multi-phase materials and wind flow profiles. For the mean flow, a copula based approach fitting the synthetic profile to the windrose data is used, while for the turbulent part a fractional PDE operator in space with a Gaussian white noise on the right hand side is considered. Adaptive sampling strategies are used for topology optimization under noise.<\/p>\n<p>All theoretical and algorithmic results are illustrated by numerical examples illustrating the large flexibility of the proposed tools.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this talk, we discuss several aspects of random field generation. From a numerical point of view, we introduce an efficient algorithm how to discretize a fractional in space operator [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":46,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-139","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/womeninpdes.waves.kit.edu\/2025\/wp-json\/wp\/v2\/pages\/139","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/womeninpdes.waves.kit.edu\/2025\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/womeninpdes.waves.kit.edu\/2025\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/womeninpdes.waves.kit.edu\/2025\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/womeninpdes.waves.kit.edu\/2025\/wp-json\/wp\/v2\/comments?post=139"}],"version-history":[{"count":2,"href":"https:\/\/womeninpdes.waves.kit.edu\/2025\/wp-json\/wp\/v2\/pages\/139\/revisions"}],"predecessor-version":[{"id":241,"href":"https:\/\/womeninpdes.waves.kit.edu\/2025\/wp-json\/wp\/v2\/pages\/139\/revisions\/241"}],"up":[{"embeddable":true,"href":"https:\/\/womeninpdes.waves.kit.edu\/2025\/wp-json\/wp\/v2\/pages\/46"}],"wp:attachment":[{"href":"https:\/\/womeninpdes.waves.kit.edu\/2025\/wp-json\/wp\/v2\/media?parent=139"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}