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</o:shapelayout></xml><![endif]--></head><body lang=EN-US link=blue vlink=purple><div class=WordSection1><p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b><span style='font-size:16.0pt;font-family:"Tahoma","sans-serif";color:black'>PhD Dissertation Announcement<o:p></o:p></span></b></p><p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b><span style='font-size:14.0pt;font-family:"Times New Roman","serif";color:black'>EFFICIENT APPROACHES FOR UNCERTAINTY ANALYSIS IN<o:p></o:p></span></b></p><p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b><span style='font-size:14.0pt;font-family:"Times New Roman","serif";color:black'>ELETROMAGNETIC SIMULATIONS<o:p></o:p></span></b></p><p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b><span style='font-size:14.0pt;font-family:"Times New Roman","serif";color:black'><o:p> </o:p></span></b></p><p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b><span style='font-size:14.0pt;font-family:"Times New Roman","serif";color:black'>Jianxiang Shen<o:p></o:p></span></b></p><p class=MsoNormal align=center style='text-align:center;text-autospace:none'><b><span style='font-size:14.0pt;font-family:"Times New Roman","serif";color:black'><o:p> </o:p></span></b></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:"Times New Roman","serif";color:black'>The thesis discusses computationally efficient ways to account for the impact of uncertainty, e.g., lack of detailed knowledge about material electrical<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:"Times New Roman","serif";color:black'>properties, system geometrical features, source excitations, etc., in both time domain and frequency-domain computational electromagnetics. In contrast to<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-size:14.0pt;font-family:"Times New Roman","serif";color:black'>classic statistical Monte Carlo methods, we explore a probabilistic approach based on high-order polynomial expansions of general stochastic processes. We show this to be highly efficient and accurate on an extensive set of electromagnetic problems, enabling the extraction of global sensitivities and computation for the impact of uncertainties on simulation results (e.g., backscattered field and radar cross-sections in scattering applications, induced electric current inside human body due to MRI coil exposure in bio-electromagnetic studies) for various types of uncertainties.<o:p></o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-family:"Tahoma","sans-serif";color:black'><o:p> </o:p></span></p><p class=MsoNormal style='text-autospace:none'><b><span style='font-family:"Tahoma","sans-serif";color:black'>Committee Chair: Dr. Ji Chen Place: ECE Conference Room Date: 11/15/2010 Time: 10:00 AM ~ 12:00 PM<o:p></o:p></span></b></p><p class=MsoNormal style='text-autospace:none'><span style='font-family:"Tahoma","sans-serif";color:black'><o:p> </o:p></span></p><p class=MsoNormal style='text-autospace:none'><span style='font-family:"Tahoma","sans-serif";color:black'>Committee Members: Dr. David Jackson, Dr. Wolfgang Kainz, Dr. Donald Wilton, Dr. Wei-chuan Shih, Dr. Driss Benhaddou</span><o:p></o:p></p></div></body></html>