AIMR Math Group Seminar #3
FY2019
Date : July 4th (Thu.) 14:00~16:00
Place:3C, AIMR Main Bldg., Katahira campus, Tohoku University
Speaker: Dr. Jordan Hauge
Title : A new transform approach to the complex Helmholtz equation
Abstract:
The complex Helmholtz operator is a ubiquitous operator that arises in multiple fields, ranging from thermal conductivity measurement to electrochemical impedance spectroscopy. Motivated by the absence of analytical tools used to solve the complex Helmholtz equation in non-separable domains, we present a new transform approach to solve the complex Helmholtz equation in convex polygonal domains. We use the method to obtain new analytical solutions related to electrochemical impedance spectroscopy, and the 3ω method. [Joint work with Prof. Darren Crowdy]
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