{"id":1212,"date":"2024-06-11T13:56:49","date_gmt":"2024-06-11T11:56:49","guid":{"rendered":"https:\/\/www.unioviedo.es\/fgs2024\/?page_id=1212"},"modified":"2024-06-14T14:45:27","modified_gmt":"2024-06-14T12:45:27","slug":"ms03-shape-optimization-and-uncertainty","status":"publish","type":"page","link":"https:\/\/www.unioviedo.es\/fgs2024\/index.php\/scientific-program\/ms03-shape-optimization-and-uncertainty\/","title":{"rendered":"MS03: Shape optimization and uncertainty"},"content":{"rendered":"\nIn many practical engineering applications, products are designed using methods of\nnumerical shape optimization. These methods originate from applications in mechanical engineering,\nbut have been applied to a wide variety of fields of engineering such as electrical engineering, fluid\nmechanics or even multiphysics applications. In most practically interesting applications, the objective\nfunction depends on the design via the solution of a partial differential equation (PDE), thus one is\nfacing a problem of PDE-constrained shape optimization. In particular, many relevant problems\ninvolve a constraint in the form of a PDE, which contains inputs or material properties that may\nbe unknown or subject to uncertainty. In contrast to classical optimal control problems, where the\nunknown is an element of a function space, in shape optimization we are searching for the optimal\nshape of a domain or subdomain. Since the set of admissible shapes does not admit a vector space\nstructure, different ways of sensitivity analysis and optimization have to be followed. For example,\nthere is a natural connection to differential geometry, since the characterization of optimal shapes and\ntheir computation relies on geometric quantities.\n\nThe topics to be treated within this minisymposium range from more theoretical aspects such as\nquestions regarding distance concepts between shapes and sensitivity analysis with respect to shape\nperturbations of domains over the design of (deterministic and stochastic) optimization algorithms to\nthe practical realization and implementation of optimization methods and its application to realistic\nproblems.<br>\n\n<strong>Mini symposium organizer:<\/strong><br>\nKathrin Welker (TU Bergakademie Freiberg)<br>\n<\/p>\n<p>\n<strong>Session 1. Room A3, Tuesday 18:00-19:30.<\/strong><br>\n <strong>Chair:<\/strong> Tim Suchan (Helmut-Schmidt-Universit\u00e4t \/ Universit\u00e4t der Bundeswehr Hamburg)<\/strong><br>\n<strong>Speakers:<\/strong><br>\nChristine Herter (Universit\u00e4t Hamburg) <em>Eigenvalue Optimization with respect to Shape-Variations in Electromagnetic Cavities<\/em><br>\nKaren Estefania Loayza Romero (Imperial College London) <em>Multi-level Optimal Control with Neural Surrogate Models<\/em><br>\nJulien Prando (Universit\u00e9 Grenoble Alpes) <em>Distributionally Robust Density Optimisation with Wasserstein Distance and Applications<\/em><br>\n<\/p>\n<p>\n<strong>Session 2. Room A3, Wednesday 11:30-13:30.<\/strong><br>\n <strong>Chair:<\/strong> Karen Estefania Loayza Romero (Imperial College London)<\/strong><br>\n<strong>Speakers:<\/strong><br>\nLidiya Pryymak (TU Bergakademie Freiberg) <em>Shape optimization on Riemannian manifolds<\/em><br>\nMatthias Schuster (Universit\u00e4t Trier) <em>Second Shape Derivative for an Interface Identification Problem constrained by Nonlocal Models<\/em><br>\nTim Suchan (Helmut-Schmidt-Universit\u00e4t \/ Universit\u00e4t der Bundeswehr Hamburg) <em>Optimization of multiple shapes: from PDE constraints under uncertainty to variational inequality constraints<\/em><br>\nAndr\u00e9-Alexander Zepernick (Freie Universit\u00e4t Berlin) <em>Quasi-Monte Carlo Methods for PDEs on Randomly Moving Domains<\/em><br>\n<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In many practical engineering applications, products are designed using methods of numerical shape optimization. These methods originate from applications in&hellip; <\/p>\n","protected":false},"author":3,"featured_media":0,"parent":618,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1212","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.unioviedo.es\/fgs2024\/index.php\/wp-json\/wp\/v2\/pages\/1212","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.unioviedo.es\/fgs2024\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.unioviedo.es\/fgs2024\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.unioviedo.es\/fgs2024\/index.php\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www.unioviedo.es\/fgs2024\/index.php\/wp-json\/wp\/v2\/comments?post=1212"}],"version-history":[{"count":2,"href":"https:\/\/www.unioviedo.es\/fgs2024\/index.php\/wp-json\/wp\/v2\/pages\/1212\/revisions"}],"predecessor-version":[{"id":1264,"href":"https:\/\/www.unioviedo.es\/fgs2024\/index.php\/wp-json\/wp\/v2\/pages\/1212\/revisions\/1264"}],"up":[{"embeddable":true,"href":"https:\/\/www.unioviedo.es\/fgs2024\/index.php\/wp-json\/wp\/v2\/pages\/618"}],"wp:attachment":[{"href":"https:\/\/www.unioviedo.es\/fgs2024\/index.php\/wp-json\/wp\/v2\/media?parent=1212"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}