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CATEGORIES:Lectures & Guest Speakers
DESCRIPTION:Speaker: Dr. Hwi Lee\, Georgia Institute of Technology\nTitle:
“A second order accurate finite difference method on uniform rectangular gr
ids for Maxwell's equations around curved PEC”\n\nAbstract: In this talk\,
we present a finite difference method to simulate the scattering of electr
omagnetic waves around two dimensional curved perfect electric conductors (
PECs). Similar to the earlier work by Zou and Liu (J. Computational Physics
463 (2022): 111273)\, our method relies on the back and forth error compen
sation and correction method (J. of Computational Physics\, 190(1)\, 311-32
4 ) once locally second order accurate ghost points are constructed via a l
evel set framework. The level set-based construction offers the convenience
of circumventing case-by-case extrapolations of suitable ghost values subj
ect to geometry of the PEC boundaries. As opposed to their locally perturbe
d rectangular grids\, our method is based on uniform rectangular grids whic
h are trivial to generate\, but completely non-conformal with the PEC bound
aries. To make our method work\, we introduce the idea of guest values whic
h are approximated boundary values deliberately misplaced at nearby grid po
ints. This is joint work with Yingjie Liu.\n\n \n\nThe Analysis and Applied
Mathematics (AAM) Seminar is intended for Kennesaw State faculty working i
n the various areas of analysis and applied mathematics to get together to
discuss their current work or related questions. Seminars often involve adv
anced mathematical knowledge. However\, the seminars are open to anyone who
is interested in attending.\n\n \n\nThis seminar will be held virtually.
DTEND:20221130T190000Z
DTSTAMP:20231207T161035Z
DTSTART:20221130T180000Z
LOCATION:
SEQUENCE:0
SUMMARY:Virtual: Analysis and Applied Mathematics (AAM) Seminar
UID:tag:localist.com\,2008:EventInstance_41590659775252
URL:https://calendar.kennesaw.edu/event/virtual_analysis_and_applied_mathem
atics_aam_seminar_2509
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