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Description automatically generated" v:shapes="Picture_x0020_6"><![endif]> <o:p></o:p></p>
<p class="MsoNormal">Professor Sven Leyffer<o:p></o:p></p>
<p class="MsoNormal">Deputy Division Director<o:p></o:p></p>
<p class="MsoNormal">Senior Computational Mathematician<o:p></o:p></p>
<p class="MsoNormal">Argonne National Lab., Chicago, IL<o:p></o:p></p>
<p class="MsoNormal"><b><o:p> </o:p></b></p>
<p class="MsoNormal"><b>Date</b>: Friday, Nov., 8, 2024<o:p></o:p></p>
<p class="MsoNormal"><b>Time</b>: 1 - 1:50 pm<o:p></o:p></p>
<p class="MsoNormal"><b>Location:</b> D2 Lect2<o:p></o:p></p>
<p class="MsoNormal"><b>Zoom Meeting ID:</b> 970 7656 5407<o:p></o:p></p>
<p class="MsoNormal"><b>Passcode:</b> 477211<o:p></o:p></p>
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<p class="MsoNormal"><b>Topological Design Problems and Integer Optimization<o:p></o:p></b></p>
<p class="MsoNormal"><b><o:p> </o:p></b></p>
<p class="MsoNormal"><b>Abstract</b>: Topological design problems arise in many important engineering and scientific applications, such additive manufacturing and the design of cloaking devices. We formulate these problems as massive mixed integer PDE-constrained
optimization (MIPDECO) problems. We show that despite their seemingly hopeless complexity, MIPDECOs can be solved efficiently (at a cost comparable to a single continuous PDE-constrained optimization solve). We discuss two classes of methods: rounding techniques
that are shown to be symptotically optimal, and trust-region techniques that converge under mesh refinement. We illustrate these solution techniques with examples from topology optimization.<o:p></o:p></p>
<p class="MsoNormal"><b><o:p> </o:p></b></p>
<p class="MsoNormal"><b>Bio:</b> Sven Leyffer joined the Mathematics and Computer Science Division at Argonne in 2002, where he is now a senior computational mathematician. Sven is a SIAM Fellow, and a senior fellow of the U. Chicago & Argonne Computation Institute.
He is the current SIAM President and serves on the editorial boards of Computational Optimization and Applications, and Mathematics of Computation. In 2006, Leyffer and his colleagues received the Lagrange Prize in Continuous Optimization, which is awarded
only once every 3 years. In 2016, he received the Farkas Prize from the INFORMS Optimization Society. Leyffer obtained his Ph.D. in 1994 from the University of Dundee, Scotland, and held postdoctoral research positions at Dundee, Argonne, and Northwestern
University. His research interests include develop reliable methods for solving large-scale nonlinear optimization problems; implementation/analysis of filter-type algorithms and extending nonlinear optimization methodologies to emerging areas such as mixed-integer
nonlinear optimization problems with complementarity constraints.<o:p></o:p></p>
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<p class="MsoNormal"><!--[if gte vml 1]><o:wrapblock><v:shape id="_x0000_s1026" type="#_x0000_t75" alt="Faculty Host: Dr. Jiming Peng jopeng@central.uh.edu http://www.ie.uh.edu/research/seminars http://www.ie.uh.edu/research/seminars " style='position:absolute;margin-left:.3pt;margin-top:14.4pt;width:540pt;height:24pt;z-index:251661312;visibility:visible;mso-width-percent:0;mso-height-percent:0;mso-wrap-distance-left:9pt;mso-wrap-distance-top:0;mso-wrap-distance-right:9pt;mso-wrap-distance-bottom:0;mso-position-horizontal:absolute;mso-position-horizontal-relative:text;mso-position-vertical:absolute;mso-position-vertical-relative:text;mso-width-percent:0;mso-height-percent:0;mso-width-relative:margin;mso-height-relative:page'>
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<td><img width="720" height="32" style="width:7.5in;height:.3333in" src="cid:image007.png@01DB2C55.6DCDFCA0" alt="Faculty Host: Dr. Jiming Peng jopeng@central.uh.edu http://www.ie.uh.edu/research/seminars
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